Time-Dependent Statistical Mechanics
We now turn to the statistical mechanics of systems not in equilibrium. The first few sections are devoted to special cases, which will be used to build up experience with the questions one can reasonably ask and the kinds of answer one may expect. A general formalism will follow, with applications.
KeywordsInitial Data Memory Term Langevin Equation Liouville Equation Hermite Polynomial
Unable to display preview. Download preview PDF.
- A.J. Chorin and P. Stinis, Problem reduction, renormalization, and memory, Comm. Appl. Math. Comp. Sci. 1 (2005), pp. 1–27.Google Scholar
- M. Kac, A stochastic model related to the telegrapher's equation, Rocky Mountain J. Math. 4 (1974), pp. 497–509.Google Scholar
- S.S. Ma, Modern Theory of Critical Phenomena, Benjamin, Boston, 1976.Google Scholar
- A. Majda and X. Wang, Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows, Cambridge University Press, 2006.Google Scholar
- G. Papanicolaou, Introduction to the asymptotic analysis of stochastic equations, in Modern Modeling of Continuum Phenomena, R. DiPrima (ed.), Providence RI, 1974.Google Scholar
- R. Zwanzig, Problems in nonlinear transport theory, in Systems Far from Equilibrium, L. Garrido (ed.), Springer-Verlag, New York, 1980.Google Scholar