Microdynamics and time-evolution of macroscopic non-Markovian systems. II |
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| Authors: | H Grabert P Talkner P Hänggi H Thomas |
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| Institution: | (1) Institut für Theoretische Physik, Universität Stuttgart, Pfaffenwaldring 57, D-7000 Stuttgart 80, Germany;(2) Department of Physics, University of Illinois, 61801 Urbana, Illinois, USA;(3) Institut für Theoretische Physik, Universität Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland |
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| Abstract: | We study the time-evolution of the joint and the conditional probability of macroscopic variables of a closed system from a microscopic point of view. We derive an exact generalized master equation for their time rate of change which consists of two parts, one instantaneous and local in state space, the other retarded and nonlocal in state space. It is represented by stochastic operators depending both on the initial preparation and on the initial macrodistribution, which reflects the non-Markovian character of the process. The connection with the time-evolution of the single-event probability is discussed.Work Supported by the Swiss National Science Foundation |
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