creator Wang, Huichao advisor Scott, Hugh Larry This thesis gives a brief outline of how the microscopic representation enters into a good description of the elasticity of a fluid. We first introduce the hydrodynamics by three continuity equations. Due to its macroscopic background, we point out its limitation that it does not fit well with the elastic behavior of the fluid. Therefore we introduce the microscopic description of the system. In order to connect the elasticity which is obviously involved in the non-equilibrium state of a fluid, we discuss how non-equilibrium mechanics could be related to equilibrium mechanics by the assumption that the system is not far away from equilibrium. Under this assumption, an analysis of equilibrium mechanics is necessary, and combining with the microscopic representation, we derive the generalized Langevin equation as an equation of motion of the momentum current, which is endowed with the elastic property, consistent with observations of the fluid. Submitted by Liana Khananashvili (khananashvili@iit.edu) on 2013-10-17T18:24:13Z No. of bitstreams: 1 STUDIES IN NONEQUILIBRIUM STATISTICAL MECHANICS-HUICHAO WANG A20261543.pdf: 1130097 bytes, checksum: e161230f8316f00ad2ad977f76c38101 (MD5) Made available in DSpace on 2013-10-17T18:24:13Z (GMT). No. of bitstreams: 1 STUDIES IN NONEQUILIBRIUM STATISTICAL MECHANICS-HUICHAO WANG A20261543.pdf: 1130097 bytes, checksum: e161230f8316f00ad2ad977f76c38101 (MD5) Previous issue date: 2013-05 M.S. in in Physics, May 2013 2013-05-08 2013-05 http://hdl.handle.net/10560/3097 en Thesis born digital application/pdf In Copyright http://rightsstatements.org/page/InC/1.0/ Restricted Access PHYS / Physics Illinois Institute of Technology Affiliated department