STATISTICAL MICRODYNAMICS OF EXTENDED SYSTEMS IN NATURAL FUNCTION-SPACES

An approximate numerical method of solving the Generalized Master Equa tion for a many-body problem is presented, with examples of its applic ation. This method involves the construction from the full Hamiltonian (of the system plus the ''bath'') of a set of unitary Langevin equati ons that combine deterministic microcanonical, stochastic canonical (h eat bath), and stochastic nonthermal dynamics in a single time-integra tion scheme. If implemented in a representation that captures the esse ntial physics and repeatedly run from a given initial condition, this method evaluates stochastic representatives from the actual fiber bund le of system worldlines that flow from the initial condition and, henc e, numerically evaluates the path integral. (C) 1993 John Wiley & Sons , Inc.