Generalized Gibbs ensembles for time-dependent processes

Journal Article · Tue Nov 01 00:00:00 EST 2005 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2005.05.005· OSTI ID:20690205

Chomaz, Ph ^[1]; Gulminelli, F ^[2]; Juillet, O ^[2]

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1. GANIL, DSM-CEA/IN2P3-CNRS, BP 5027, F-14076 CAEN cedex 5 (France)
2. LPC Caen, IN2P3-CNRS et Universite, F-14050 CAEN cedex (France)

An information theory description of finite systems explicitly evolving in time is presented for classical as well as quantum mechanics. We impose a variational principle on the Shannon entropy at a given time while the constraints are set at a former time. The resulting density matrix deviates from the Boltzmann kernel and contains explicit time odd components which can be interpreted as collective flows. Applications include quantum Brownian motion, linear response theory, out of equilibrium situations for which the relevant information is collected within different time scales before entropy saturation, and the dynamics of the expansion.

• OSTI ID: 20690205
• Journal Information: Annals of Physics (New York), Vol. 320, Issue 1; Other Information: DOI: 10.1016/j.aop.2005.05.005; PII: S0003-4916(05)00095-3; Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BROWNIAN MOVEMENT
DENSITY MATRIX
ENTROPY
INFORMATION THEORY
QUANTUM MECHANICS
TIME DEPENDENCE
VARIATIONAL METHODS