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- Title
- HOT DUCTILITY BEHAVIOR IN THE CONTINUOUS CASTING OF NIOBIUM-BEARING MICROALLOYED STEELS
- Creator
- Jansto, Steven George
- Date
- 2013, 2013-12
- Description
-
Over 200 million tons of Niobium-bearing steels were continuously cast and hot rolled globally in 2012. These Nb-bearing plate, bar and sheet...
Show moreOver 200 million tons of Niobium-bearing steels were continuously cast and hot rolled globally in 2012. These Nb-bearing plate, bar and sheet products are manufactured throughout the world. The melting and casting practices to assure production of crack-free slabs, billets and blooms of high surface quality is presented. Much has been published about the traditional ductility trough associated with higher carbon equivalent steels with and without microalloy additions of Nb, V and/or Ti. The focus has primarily been on the chemistry and optimal composition based upon the literature review. However, the steelmaking and process metallurgy parameters are rarely correlated to the hot ductility behavior. Most studies involve laboratory produced heats, but this research is based upon industrial produced samples.The hot ductility troughs associated with simple carbon-manganese steels can also result in surface and internal quality issues if certain steelmaking and casting parameters are not followed. Although high carbon equivalent steels exhibit inherently lower hot ductility behavior, as measured by percent reduction in area at elevated temperature, these steels still exhibit sufficient ductility to satisfactorily meet the unbending stress and strain gradients existing in the straightening section of most casters. The % Reduction in Area significantly overstates the minimum ductility required for crack-free casting of Nb-bearing steels. The relationship between the steelmaking and caster operation and the resultant slab quality is related through the hot ductility behavior. This global Nb-bearing continuous casting steel research study introduces the strain energy as an improved xxi measure of the hot ductiity behavior. The incidence of cracking is primarily related to the steelmaking and caster process parameters and steel chemistry is secondary. These parameters include the elemental residual chemistry level, superheat variation, transfer ladle temperature stratification, oscillation frequency and stroke, mould flux incompatibility, casting speed fluctuation, and excessive secondary cooling.
PH.D in Materials Science and Engineering, December 2013
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- Title
- INITIAL TURBULENCE EFFECT ON JET EVOLUTION WITH AND WITHOUT TONAL EXCITATION
- Creator
- Raman, G, Zaman, Kbmq, Rice, Ej
- Date
- 1989-07
- Publisher
- AMER INST PHYSICS
- Title
- UNDERSTANDING UNCERTAINTIES IN RESOLVED PHOTON STRUCTURE
- Creator
- Zhan, Hengrui
- Date
- 2017, 2017-07
- Description
-
The construction of a photon collider has been urged, in order to study the properties of the Higgs boson and electroweak symmetry breaking....
Show moreThe construction of a photon collider has been urged, in order to study the properties of the Higgs boson and electroweak symmetry breaking. It would also provide unique possibilities for measurement of fusion to probe the hadronic structure of the photon. One scheme of design for the photon collider is a linear collider. A study shows that resolved photons contribute about 15% of the cross section to Higgs production with a mass of 120 GeV, but estimates of the resolved photon structure have so far varied greatly. Therefore, resolved photon structure is important to measure. This thesis focuses on the determination of the uncertainties of the cross section of bb production for better understanding of resolved photon structure. The principles of a photon collider are reviewed. In this thesis, the simulation tools for the simulation of the cross section of ! bb collision are developed. After that, the method for determination of the uncertainties of cross section is described. A new set of PDFs to explore these uncertainties is produced. The result of the simulation of the cross section and the calculation for the uncertainties of the cross section is presented and discussed in detailed.
M.S. in Physics, July 2017
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- Title
- PRICING AND APPLICATION OF ELECTRIC STORAGE
- Creator
- Zhao, Jialin
- Date
- 2017, 2017-05
- Description
-
Electric storage provides a vehicle to store power for future use. It contributes to the grids in multiple aspects. For instance, electric...
Show moreElectric storage provides a vehicle to store power for future use. It contributes to the grids in multiple aspects. For instance, electric storage is a more effective approach to provide electricity ancillary services than conventional methods. Additionally, electric storage, especially fast-responding units, allows owners to implement high-frequency power transactions in settings such as the 5-min real-time trading market. Such high-frequency power trades were limited in the past. However, as technology advances, the power markets have evolved. For instance, the California Independent System Operator now supports the 5-min real-time trading and the hourly day-ahead ancillary services bidding. Existing valuation models of electric storage were not designed to accommodate these recent market developments. To fill this gap, I focus on the fast-responding grid-level electric storage that provides both the real-time trading and the day-ahead ancillary services bidding. To evaluate such an asset, I propose a Monte Carlo Simulation-based valuation model. The foundation of my model is simulations of power prices. This study develops a new simulation model of electric prices. It is worth noting that, unlike existing models, my proposed simulation model captures the dependency of the real-time markets on the day-ahead markets. Upon such simulations, this study investigates the pricing and the application of electric storage at a 5-min granularity. Essentially, my model is a Dynamic Programming system with both endogenous variables (i.e., the State-of-Charge of electric storage) and exogenous variables (i.e., power prices). My first numerical example is the valuation of a fictitious 4MWh battery. Similarly, my second example evaluates the application of two units of 2MWh batteries. By comparing these two experiments, I investigate the issues related to battery configurations, such as the impacts of splitting storage capability on the valuation of electric storage.
Ph.D. in Management Science, May 2017
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- Title
- COMPUTATIONAL FLUID DYNAMICS AND POPULATION BALANCE MODEL FOR SIMULATION OF DRY SORBENT BASED CO2 CAPTURE PROCESS
- Creator
- Abbasi, Emadoddin
- Date
- 2013, 2013-12
- Description
-
Carbon capture and sequestration (CCS) is one of the key technologies needed to mitigate carbon dioxide emission from industrial sources and...
Show moreCarbon capture and sequestration (CCS) is one of the key technologies needed to mitigate carbon dioxide emission from industrial sources and power plants. Development of CFD-based design tool for prediction of the extent of CO2 capture in a regenerable dry sorbent-based technology, in an efficient power plant design (i.e., modern IGCC power plants) was the driving force behind this project. In this study, we established a systematic methodology, starting from investigating the properties of the sorbent and its reaction mechanism, to developing a model for design and scale-up of the reactors that is needed to deploy this technology at larger scales. This dissertation provides a coupled CFD-PBE model based on the novel FCMOM approach with broad application in reaction engineering and reactor design where the polydisperse nature of the phases has strong effect on the hydrodynamics of the system. Detailed investigations of the MgO-based sorbent and its performance toward capturing CO2 from a coal gas stream were performed that result in development of the two-zone variable diffusivity shrinking core reaction model. Furthermore, a baseline design for a circulating fluidized bed (CFB) reactor, using numerical modeling and threedimensional simulations of a full-loop circulating fluidized bed reactor was provided based on the coupled CFD-PBE, which in combination with the reaction model can perform as a base for parametric studies and optimization of the process.
PH.D in Chemical Engineering, December 2013
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- Title
- AN INTRINSICALLY CONDUCTING POLYMER-BASED COATING SYSTEM FOR CORROSION PROTECTION OF STEELS
- Creator
- Yu, Qifeng
- Date
- 2016, 2016-12
- Description
-
Among the various corrosion protection strategies for structural steels, coating techniques provide the most cost-effective protection and...
Show moreAmong the various corrosion protection strategies for structural steels, coating techniques provide the most cost-effective protection and have been used as the primary mode for corrosion protection. Existing coating techniques have been used mainly for their barrier capability and all have a limited service life. In this research work, a waterborne two-strand polyaniline: poly (acrylic acid) complex was synthesized and utilized to fabricate the primer layer of a two-layer coating system. The techniques of Scanning Kelvin Probe Force Microscopy (SKPFM) and Electrochemical Impedance Spectroscopy (EIS) were used to evaluate the anti-corrosion capability of the polymeric complex when mixed in an epoxy matrix and coated on steel samples as the primer layer. The evaluation results show that coating systems including a PANi-based primer has measurable anticorrosion capability and the anti-corrosion capability of PANi-based primer depends on the usage of PANi and the type of matrix material of the primer layer. In the laboratory condition, a prototype two-layer coating system including the PANi-based primer and a polyurethane topcoat was manufactured. The ASTM Salt-Spray Test and EIS were used to prove the anti-corrosion performance of the prototype using a two-layer, polyurethane-over-epoxy system (no PANi) as the control system. After the proof of concept, a non-waterborne epoxy was used to fabricate a different PANi-based primer. The two types of primers and two other commercial primers (a zinc-rich primer and an epoxy-only primer) were used to make a total of eight two-layer coating systems using two widely used topcoats. Salt-Spray Test, Cyclic Salt Fog/UV Exposure Test, Pull- Off Adhesion Test, and the techniques of EIS, SKPFM, and Scanning Electron Microscope (SEM) were used to evaluate the long-term performance of the eight systems. Based on the laboratory-based recommendations, six groups of two-layer coating systems were then subjected to the outdoor-exposure test to evaluate their anti-corrosion durability at two testing sites. The field durability of the coating systems was evaluated in terms of their surface gloss reduction, color change, adhesion change and surface deteriorations. The matrix material in which the PANi is mixed plays an important role in the longterm anti-corrosion performance of coatings. The waterborne epoxy is effective in dispersing PANi nano-particles and has zero VOC; however, it does not bond to the steel surface as strongly as the regular non-waterborne epoxy. The topcoat material also plays an important role in the long-term anti-corrosion performance of coatings; polyurethane has higher durability than epoxy as a topcoat material. The PANi-based systems possess long-term corrosion protection comparable to the performance of the conventional zincrich three-layer system based on the one-year field evaluation.
Ph.D. in Civil Engineering, December 2016
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- Title
- Our Energy Future: Lessons in Sustainability AND IPRO Teams for K-12: The Education Outreach Service Learning Cluster (sequence unknown), IPRO 332 - Deliverables
- Creator
- Chavez, Jorge, Johnson, Ross, Chin, Jason, Grande, Gina, Lay, Livia, Mccloat, Declain, Nguyen, Nam, Olechno, Patrick, Randle, Jennifer, Tyler Ii, Micheal, Vega, Mayra, Weiner, Andrew, Zajac, Gregory
- Date
- 2009-12
- Description
-
The mission of the IPRO is to educate the community, focusing mainly on elementary and high school students, on the issues of sustainability...
Show moreThe mission of the IPRO is to educate the community, focusing mainly on elementary and high school students, on the issues of sustainability and energy conservation. The group looks to expand on the work that has been completed in previous semesters, by adding multi-media presentations to enhance the current teaching modules. Previous modules have presented to classrooms simply with information, and the team looks to add upon this by adding interactive and entertaining materials to intrigue the audience.
Deliverables for IPRO 332: IOur Energy Future: Lessons in Sustainability AND IPRO Teams for K-12: The Education Outreach Service Learning Cluster for the fall 2009 semester
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- Title
- DISCONTINUOUS IN THE NI-CO-AL PRECIPITATION ALLOY SYSTEM
- Creator
- Liu, Tian
- Date
- 2014, 2014-05
- Description
-
The synthesis of nanoplates of 0 by use of discontinuous precipitation was investigated in the Ni-Co-Al alloy system. A series of experiments,...
Show moreThe synthesis of nanoplates of 0 by use of discontinuous precipitation was investigated in the Ni-Co-Al alloy system. A series of experiments, such as heat treatment, cold rolling, and electrolytic etching, have been performed to develop the desired microstructure. Nanostructured materials have great potential in a number of applications, such as catalysis, light weight structural materials, thermal management and pollution reduction. Kinetic information of the Ni-Co-Al alloy was obtained through measuring the optical micrographs of samples aged at di erent temperatures. The morphology of the nanostructure of the Ni-Co-Al alloy was investigated using scanning electron microscopy (SEM). The mechanical property (hardness) of the Ni-Co-Al alloy was obtained in di erent conditions as well. The Ni-Co-Al alloys were recrystallized in di erent ways. The texture of the alloys were determined using electron backscattered di raction (EBSD). After analyzing those experimental results, we nd that the discontinuous precipitation goes to completion in the Ni-Co-Al alloy. The discontinuous precipitates present a lamellar structure. The size of plates is similar with the spacing between plates and achieves a nanoscale architecture. The TTT curve of the Ni-Co-Al alloy with a composition of 43 at.% Ni, 48 at.% Co and 9 at.% Al provides abundant kinetic information. Further work is needed to produce a strong cube texture ((100) planes parallel to the foil surface).
M.S. in Materials Engineering, May 2014
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- Title
- Using Assessment Data to Improve Library Services : presented at ILA 2007 conference: ILA_presentation_07_revised_final: ILA_presentation_07_revised_final
- Creator
- Stewart, Christopher, Uth, Charles
- Date
- 2007-10
- Description
-
IIT Libraries conducted LibQUAL+ service quality assessment in 2004 and 2006. This presentation will outline strategies we undertook to...
Show moreIIT Libraries conducted LibQUAL+ service quality assessment in 2004 and 2006. This presentation will outline strategies we undertook to address issues identified in the 2004 assessment, and evaluate their success based on assessment results in 2006. We will also discuss the importance of measuring academic library effectiveness in higher education’s emerging outcomes-based culture.
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- Title
- HERAFitter - an open source QCD fit framework, Proceedings of the XLIII International Symposium on Multiparticle Dynamics
- Creator
- Starovitov, Pavel
- Date
- 2013-09-15, 2013-09-15
- Publisher
- IIT Press
- Description
-
The patron distribution functions (PDFs) describe the parton content of the proton. They cannot be calculated from the first principle and are...
Show moreThe patron distribution functions (PDFs) describe the parton content of the proton. They cannot be calculated from the first principle and are to be determined empirically by fitting experimental observables to quantum chromodynamics (QCD) predictions. The HERAFitter project aims to provide a framework for QCD analyses of proton structure at leading order (LO), next-to-leading order (NLO) and next-to-next-to-leading (NNLO) orders in perturbative QCD. The framework includes various modules and interfaces enabling a large number of theoretical and methodological options. It also allows to study the impact of the new experimental data on the PDFs from ep, pp and pp̅ scattering processes. The fast development of the project involves active communication with theorists and experimentalist as well as a close collaboration with the main PDF fitting groups. Full information about the project, downloads and documentation can be found in http://herafitter.org.
Sponsorship: IIT College of Science, High Energy Physics Division of Argonne National Laboratory
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- Title
- Our Energy Future: Lessons in Sustainability AND IPRO Teams for K-12: The Education Outreach Service Learning Cluster (sequence unknown), IPRO 332 - Deliverables: Project Plan F09
- Creator
- Chavez, Jorge, Johnson, Ross, Chin, Jason, Grande, Gina, Lay, Livia, Mccloat, Declain, Nguyen, Nam, Olechno, Patrick, Randle, Jennifer, Tyler Ii, Micheal, Vega, Mayra, Weiner, Andrew, Zajac, Gregory
- Date
- 2009-12
- Description
-
The mission of the IPRO is to educate the community, focusing mainly on elementary and high school students, on the issues of sustainability...
Show moreThe mission of the IPRO is to educate the community, focusing mainly on elementary and high school students, on the issues of sustainability and energy conservation. The group looks to expand on the work that has been completed in previous semesters, by adding multi-media presentations to enhance the current teaching modules. Previous modules have presented to classrooms simply with information, and the team looks to add upon this by adding interactive and entertaining materials to intrigue the audience.
Deliverables for IPRO 332: IOur Energy Future: Lessons in Sustainability AND IPRO Teams for K-12: The Education Outreach Service Learning Cluster for the fall 2009 semester
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- Title
- QUANTITATIVE ANALYSIS OF THE EFFECTS OF BIOFUNCTIONAL AND PHYSICAL GRADIENTS ON CELL BEHAVIOR IN POLY (ETHYLENE GLYCOL) DIACRYLATE HYDROGELS
- Creator
- Turturro, Michael
- Date
- 2012-10-29, 2012-12
- Description
-
The continued enhancement of tissue engineered scaffolds relies on their ability to stimulate the formation of a stable microvascular network...
Show moreThe continued enhancement of tissue engineered scaffolds relies on their ability to stimulate the formation of a stable microvascular network within the biomaterial. In vivo, the spatial presentation of immobilized extracellular matrix cues and matrix mechanical properties play an important role in directed and guided cell behavior and neovascularization. The overall goals of this thesis are to develop a technique for the generation of gradients of physical properties and incorporated biofunctionality within poly(ethylene glycol) diacrylate (PEGDA) scaffolds and to investigate the effects of these gradients on 3D cell invasion and neovascularization. To this end, a novel photopolymerization technique for generating spatial variations in matrix properties and incorporated biofunctionality within synthetic PEGDA hydrogels, perfusion-based frontal polymerization (PBFP), was developed. This technique relies on the controlled perfusion of a photoinitiator to a reaction chamber containing a precursor solution and results in the propagation of a polymer reaction front that travels through the monomer solution creating a gradient in hydrogel crosslinking. Manipulation of the magnitude of the gradient can be achieved through alterations in the polymerization conditions. Scaffolds with embedded gradients were designed and optimized based on a range of properties shown to support 2D cell adhesion, proliferation, and 3D vascular cell invasion in bulk photopolymerized hydrogels with homogeneous properties. An in vitro model of neovascularization was used to evaluate the effect of these gradients on vascular sprout formation. Sprout invasion in gradient hydrogels occurred bi-directionally with sprout alignment observed in the direction parallel to the gradient while control hydrogels with homogeneous properties resulted in uniform invasion. In PBFP gradient hydrogels, sprout xvi length was found to be twice as long in the direction parallel to the gradient as compared to the perpendicular direction after three weeks in culture. This directionality was found to be more prominent in gradient regions of increased stiffness, crosslinked matrix metalloproteinase (MMP)-sensitive peptide presentation, and immobilized YRGDS concentration. In vivo tissue invasion was shown to be directly related to gradient properties and orientation. Alterations in the magnitude of the gradient in elastic modulus enhanced the directionality of invading vascular sprouts while restricting in vivo tissue invasion.
PH.D in Biomedical Engineering, December 2012
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- Title
- Collective dynamics of the p-Pb collisions at the LHC, Proceedings of the XLIII International Symposium on Multiparticle Dynamics
- Creator
- Broniowski, Wojciech, Bożek, Piotr
- Date
- 2013-09-15, 2013-09-15
- Publisher
- IIT Press
- Description
-
We review the signatures for the soft collective dynamics in highest-multiplicity ultrarelativistic p-Pb collisions and show that the effects...
Show moreWe review the signatures for the soft collective dynamics in highest-multiplicity ultrarelativistic p-Pb collisions and show that the effects are well described in a three-stage model, consisting of the event-by-event Glauber initial conditions, viscous 3+1D hydrodynamics, and statistical hadronization. In particular, we discuss the ridges in two-particle correla- tions in the relative azimuth and pseudorapidity, the elliptic and triangular flow coefficients, and the mass hierarchy of observables sensitive to flow.
Sponsorship: IIT College of Science, High Energy Physics Division of Argonne National Laboratory
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- Title
- Teacher Knowledge Share (Semester Unknown) IPRO 320: Teacher Knowledge Share IPRO 320 Final Report F08
- Creator
- Bern, David, Bochantin, Marike, Hartline, Julian, Mccall, Ian, Mick, Emily, Peake, Andrew, Pierce, Alison, Pindrik, Dmitriy, Quinn, Michael, Stanford, Carly, Tilatti, Michael
- Date
- 2008, 2008-12
- Description
-
The goal of IPRO 320 is to create an online professional network for school teachers at the kindergarten through twelfth grade level to allow...
Show moreThe goal of IPRO 320 is to create an online professional network for school teachers at the kindergarten through twelfth grade level to allow for the sharing of ideas, lesson plans and other professionally relevant information. This is a continuing project which saw limited success in the previous semester in that a functioning web site was constructed based on surveys of public school teachers but it saw very little use. This semester, the planned approach is to build on the research generated last semester by performing additional market research with teachers. Following that, IPRO 320 will rework much of the previous web site by refining some of the features, adding additional ones as the research indicates and improving the website in general, both functionally and aesthetically.
Deliverables
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- Title
- Energy Effciency and Audio Quality in Mobile Devices and Intercom Systems (sequence unknown), IPRO 344 - Project Plan
- Creator
- Algie, Teague, Bartolomei, Anthony, Bian, Joy, Chiles, Jeffrey, Gavris, Calin, Ieong, Iat, Han Jun, Chang, Kim, Woochan, Lee, Harry, Miller, Nathan, Shegarfi, Roozbeh
- Date
- 2009-12
- Description
-
The team's initiative is to evaluate the sound quality delivered by an audio system in a practical situation and compare it with industrial...
Show moreThe team's initiative is to evaluate the sound quality delivered by an audio system in a practical situation and compare it with industrial standards. A longer term objective is to incorporate adaptive measure so that noise cancellation and sound-level optimization can be realized.
Sponsorship: Shure Inc.
Project plan for IPRO 344: Energy Effciency and Audio Quality in Mobile Devices and Intercom Systems for the fall 2009 semester
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- Title
- BIODESULFURIZATION IMPROVEMENT OF A SYMBIOTIC PAENIBACILLUS CULTURE UTILIZING VITREOSCILLA HEMOGLOBIN
- Creator
- Liu, Benjamin Kwan
- Date
- 2015, 2015-05
- Description
-
Biodesulfurization (BDS) of petroleum has been investigated as an alternative method to conventional chemical desulfurization for many years....
Show moreBiodesulfurization (BDS) of petroleum has been investigated as an alternative method to conventional chemical desulfurization for many years. Despite its potential to be an environmentally benign method, it has not been developed sufficiently to be useful in real world applications. This is due to its low efficiency and the necessity for it to work at temperatures high enough to lower the viscosity of petroleum so that mixing can be achieved. This study places the spotlight on two strains of Paenibacillus isolated in our laboratory that, together, possess biodesulfurization ability at moderately high temperatures and attempts to enhance biodesulfurization by expression of Vitreoscilla hemoglobin (VHb) in the Paenibacillus strains. The effects of expression of the VHb gene (vgb) on growth and desulfurizing activity was examined in a symbiotic system between the Paenibacillus strains 32O-Y and 32O-W. Of the two, 32O-Y is the one with the ability to metabolize dibenzothiophene (DBT), a common compound in petroleum that contains organic sulfur, while 32O-W enhances this ability, forming a symbiotic relationship between the two. The transformant of 32O-Y bearing vgb cloned into the shuttle vector pNW33N had been previously constructed in our laboratory. Presence of pNW33N-vgb was verified in one strain of 32O-Y through isolation of DNA, PCR, and gel electrophoresis. Mixtures of 32O-Y/32O-W or 32O-Y[pNW33N-vgb]/32O-W were cultured in minimal medium (CDM) with DBT as the sole sulfur source and subjected to multiple trials of growth and assay of DBT metabolism at varying temperatures. At 45 ˚C there was a substantial increase in both growth and DBT metabolizing coincident with VHb expression, whereas at lower (37 ˚C) and higher (50 ˚C) temperatures, VHb expression had little to no effect on either parameter. For both growth and DBT metabolism tested at 37 ˚C, 45 ˚C and 50 ˚C the highest absolute levels were seen at 37 ˚C, and the lowest at 45 ˚C.
M.S. in Biology, May 2015
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- Title
- Recent Results from RHIC, Proceedings of the XLIII International Symposium on Multiparticle Dynamics
- Creator
- Evdokimov, O.
- Date
- 2013-09-15, 2013-09-15
- Publisher
- IIT Press
- Description
-
The Relativistic Heavy Ion Collider (RHIC) has opened a new era in experimental nuclear physics. Among the most important discoveries of this...
Show moreThe Relativistic Heavy Ion Collider (RHIC) has opened a new era in experimental nuclear physics. Among the most important discoveries of this new era are the jet quenching phenomenon, the energy loss suffered by a hard scattered parton traversing the medium, and the collective flow, approaching the limit of ideal hydrodynamics. RHIC experiments have introduced a number of novel correlation methods for studies of jets and jet-medium interactions in the high multiplicity environment of ultra-relativistic heavy ion collisions. The di- and multi-hadron correlation techniques have since been quintessential to the understanding of the properties of the created medium in many complementary ways. In this work selected recent results are presented for the RHIC’s top energy collisions at 200 GeV. Di-hadron correlation measurements from Au–Au collisions, illuminating the properties of the hot nuclear medium, are confronted with the recent findings from d–Au data at the same energy. Understanding of initial state properties and collision evolution is tested by unexpected similarities in the di-hadron correlation measurements between the two systems.
Sponsorship: IIT College of Science, High Energy Physics Division of Argonne National Laboratory
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- Title
- HYPOTHESIS TESTING FOR STOCHASTIC PDES DRIVEN BY ADDITIVE NOISE
- Creator
- Xu, Liaosha
- Date
- 2013, 2013-12
- Description
-
We study hypothesis testing problem for the drift/viscosity coefficient for stochastic fractional heat equation driven by additive space-time...
Show moreWe study hypothesis testing problem for the drift/viscosity coefficient for stochastic fractional heat equation driven by additive space-time white noise colored in space. Since it is the first attempt to deal with hypothesis testing in SPDEs, we assume that the first N Fourier modes of the solution are observed continuously over time interval [0, T], similar methodology could be developed later for discrete sampling. The highlight of this article lies in the notion of “asymptotically the most powerful test” we introduce, which is a brand new idea for hypothesis testing not only in stochastic PDEs but in general stochastic processes. This conception provides a definite criterion how we compare the convergence rates of errors of two tests and how we maximize this convergence rate in a given rejection class when T or N is near infinity. And also we will give some equally important results for controlling the errors with finite T and N. We will build up asymptotic rejection class and find explicit forms of “the most powerful test” in two asymptotic regimes: large time asymptotics T →∞, and increasing number of Fourier modes N → ∞. The proposed statistics are derived based on Maximum Likelihood Ratio. We first consider a simple hypothesis testing, for which we exploit the key technic, by which we continue considering for more general issues. Over the course of proving the main results, we obtain a series of technical results on the asymptotic behaviors of the probabilities related to likelihood ratio, which are also, in some sense, of high value for study in probability theory. In particular, we find the cumulant generating function of the log-likelihood ratio, we obtain some sharp large deviation type results for both T → ∞ and N → ∞, and develop some useful strategies in probability convergence for studying asymptotic properties of the power of the likelihood ratio type tests.
M.S. in Applied Mathematics, December 2013
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- Title
- PSYCHOMETRIC PROPERTIES OF THE CENTER FOR EPIDEMILOGICAL STUDIES DEPRESSION SCALE (CES-D) USED AMONG NATIVE CHINESE INDIVIDUALS WITH SPINAL CORD INJURY
- Creator
- Xiong, Ying
- Date
- 2014, 2014-07
- Description
-
Depressive symptoms are highly prevalent among people with Spinal Cord Injury (SCI) and yet there is a lack of consensus over psychometrically...
Show moreDepressive symptoms are highly prevalent among people with Spinal Cord Injury (SCI) and yet there is a lack of consensus over psychometrically sound diagnostic criteria or screening tools for depression. This is particularly true with the SCI population in China. Currently, there is limited information regarding the prevalence of depression, severity, and depressive symptomatology among individuals with SCI in China. CES-D lOis a simple and quick tool to use, and it avoids over-estimating depression due to frequent somatic complaints associated with SCI. To our best knowledge, the CES-D 10 had not been used among the native Chinese population with SCI. The current study used the CES-D 10 to measure depressive symptoms among individuals with SCI in China. The purpose ofthis study was to examine factorial validity, internal consistency, construct validity, and concurrent validity ofCES-D 10 among 260 Chinese individuals with SCI. Results showed an alarmingly high prevalence of depressive symptoms among the sample. Consistent with existing literature and hypotheses, a two-factor structure of CES-D 10 was replicated based on a confirmatory factor analysis. Hierarchical regression analyses showed several important psychosocial constructs such as acceptance of disability, social support, and functional disability were predictors of overall depressive symptoms. Surprisingly, depressive symptoms were not predictive of employment status. The scale showed low internal consistency, and a cultural response bias in which participants are less likely to endorse positively-stated CES-D items among the current sample. Such finding is consistent with past studies among the East Asian population. Limitations and implications ofthe study were discussed.
Ph.D. in Psychology, July 2014
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- Title
- CAPACITY BOUNDS FOR LARGE SCALE WIRELESS SENSOR NETWORKS
- Creator
- Tang, Shaojie
- Date
- 2012-11-20, 2012-12
- Description
-
We study the network capacity of large scale wireless sensor networks under both Gaussian Channel model and Protocol Interference Model. To...
Show moreWe study the network capacity of large scale wireless sensor networks under both Gaussian Channel model and Protocol Interference Model. To study network capacity under gaussian channel model, we assume n wireless nodes {v1, v2, · · · , vn} are randomly or arbitrarily distributed in a square region Ba with side-length a. We randomly choose ns multicast sessions. For each source node vi, we randomly select k points pi,j (1 ≤ j ≤ k) in Ba and the node which is closest to pi,j will serve as a destination node of vi. The per-flow unicast(multicast) capacity is defined as the minimum data rate of all unicast(multicast) sessions in this network. We derive the achievable upper bounds on unicast capacity and a upper bound(partial achievable) on multicast capacity of the wireless networks under and Gaussian Channel model. We found that the unicast(multicast) capacity for wireless networks under both two models has three regimes. Under protocol interference model, we assume that n wireless nodes are randomly deployed in a square region with side-length a and all nodes have the uniform transmission range r and uniform interference range R > r. We further assume that each wireless node can transmit/receive at W bits/second over a common wireless channel. For each node vi, we randomly pick k − 1 nodes from the other n − 1 nodes as the receivers of the multicast session rooted at node vi. The aggregated multicast capacity is defined as the total data rate of all multicast sessions in the network. In this work we derive matching asymptotic upper bounds and lower bounds on multicast capacity of large scale random wireless networks under protocol interference model.
PH.D in Computer Science, December 2012
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