STUDIES IN NONEQUILIBRIUM STATISTICAL MECHANICS
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.
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M.S. in in Physics, May 2013
2013-05-08
2013-05
http://hdl.handle.net/10560/3097
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PHYS / Physics
Illinois Institute of Technology
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