Statistical microdynamics of extended systems in natural function spaces

Journal Article (Journal Article)

An approximate numerical method of solving the Generalized Master Equation for a many‐body problem is presented, with examples of its application. This method involves the construction from the full Hamiltonian (of the system plus the “bath”) of a set of unitary Langevin equations that combine deterministic microcanonical, stochastic canonical (heat bath), and stochastic nonthermal dynamics in a single time‐integration scheme. If implemented in a representation that captures the essential physics and repeatedly run from a given initial condition, this method evaluates stochastic representatives from the actual fiber bundle of system worldlines that flow from the initial condition and, hence, numerically evaluates the path integral. © 1993 John Wiley & Sons, Inc. Copyright © 1993 John Wiley & Sons, Inc.

Full Text

Duke Authors

Cited Authors

  • Brown, RG; Ciftan, M

Published Date

  • January 1, 1993

Published In

Volume / Issue

  • 48 / 27 S

Start / End Page

  • 363 - 375

Electronic International Standard Serial Number (EISSN)

  • 1097-461X

International Standard Serial Number (ISSN)

  • 0020-7608

Digital Object Identifier (DOI)

  • 10.1002/qua.560480837

Citation Source

  • Scopus