Statistical Mechanics of Nonequilibrium LiquidsStatistical Mechanics of Nonequilibrium Liquids deals with theoretical rheology. The book discusses nonlinear response of systems and outlines the statistical mechanical theory. In discussing the framework of nonequilibrium statistical mechanics, the book explains the derivation of a nonequilibrium analogue of the Gibbsian basis for equilibrium statistical mechanics. The book reviews the linear irreversible thermodynamics, the Liouville equation, and the Irving-Kirkwood procedure. The text then explains the Green-Kubo relations used in linear transport coefficients, the linear response theory, the isothermal linear response theory, as well as the equivalence of thermostatted linear responses. The book also describes how thermostatted linear mechanical response of many-body systems can be related to equilibrium fluctuations. The text explains the procedure for calculating the linear Navier-Stokes transport coefficients through computer simulation algorithms. The book also discusses the van Kampen objection to linear response theory, the steady-state fluctuations, and the thermodynamics of steady states. The text will prove valuable for researchers in molecular chemistry, scientists, and academicians involved in advanced physics. |
Contents
| 1 | |
| 11 | |
Chapter 3 The Microscopic Connection | 33 |
Chapter 4 The GreenKubo Relations | 77 |
Chapter 5 Linear Response Theory | 95 |
Chapter 6 Computer Simulation Algorithms | 121 |
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Statistical Mechanics of Nonequilibrium Liquids Denis J. Evans,Gary Morriss No preview available - 2008 |
Common terms and phrases
accessible phase adiabatic algorithm attractor autocorrelation function Burnett coefficients calculate canonical ensemble colour computer simulation consider constant constitutive relation constraint correlation function Couette flow defined density derivative differential dimension dissipative flux ensemble average entropy equations of motion equilibrium fluctuations Evans and Morriss exponential expression external field field-free fluid formal Gauss Gaussian isokinetic Green-Kubo relations Hamiltonian Hoover iL(t initial integral internal energy Kawasaki kinetic energy linear response theory Liouville equation Liouvillean Lyapunov dimension Lyapunov exponents macroscopic method molecular dynamics momenta momentum multiplier N-particle NEMD Newton’s nonequilibrium steady nonlinear response Norton ensemble Nosé–Hoover obtained operator p-propagator particles perturbed phase space phase variable Phys planar Couette flow pressure tensor propagator right-hand side Section shear stress shear viscosity specific heat statistical mechanics steady-state strain rate streaming velocity temperature thermodynamic forces thermodynamic temperature thermostat time-dependent trajectories transport coefficients TTCF vector wavevector zero