An exact non-equilibrium Ornstein-Zernike (OZ) equation is derived for lattice fluid systems whose time development is given by a generalized master equation. The derivation is based on a generalization of the Montroll-Weiss continuous-time random walk on a lattice, and on their relationship...

As a step towards a random-process formulation for classical fluids which ivolve many-body correlations, a random-walk formulation is presented wherein, for both lattice-gas and continuum models, the Green function and weight function describing the random walk are related to the total...

In the Percus-Yevick and convolution-hypernetted-chain equations obtained in the previous paper, a density expansion for the correlation functions is introduced. To first order in the density, the so-obtained equations are identical and exact. By solving these, the pair correlation functions for...

The steepest descent approximation is used in the functional integral representation of the solution of the Fokker-Planck equation. The calculation includes the Gaussian integrals of fluctuations around the classical solution. The problem of the prescription dependence of the functional integral...

Whereas the low frequency diffusion constant is uniquely related to the velocity auto correlation function, the extension to very high frequencies is not unambiguous. In this article we introduce a quantum mechanical Kubo-like form. This form satisfies the standard Einstein relation at all...

We describe a simple method for calculating correlation times and complex permittivities from the orientational autocorrelation functions of molecules executing rotational Brownian motion. The expression for the autocorrelation function is first rearranged to display explicitly its asymptotic...

The complete solution of the classical KMS-equation for quasi-free evolutions is given under two different conditions.

An H-functional is suggested in terms of the single-particle distribution function governed by the Enskog kinetic equation. It is shown to be restricted to situations near the local equilibrium state. A generalized H-theorem valid for all initial situations is established from the point of view...