Microdynamics and time-evolution of macroscopic non-Markovian systems |
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Authors: | H Grabert P Talkner P Hänggi |
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Institution: | (1) Institut für Theoretische Physik, Universität Stuttgart, Pfaffenwaldring 57, D-7000 Stuttgart 80, Federal Republic of Germany;(2) Institut für Physik, Universität Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland |
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Abstract: | The time evolution of the single event probability of macroscopic variables is studied from a microscopic point of view. The explicit consideration of the preparation of the initial microdistribution leads to a unique decomposition of the macrodynamics into two parts, a local and instantaneous one and a nonlocal and retarded one. In this retarded, i.e., non-Markovian master equation no inhomogeneity occurs in contrast to previous approaches. It is shown that the retarded master equation can exactly be transformed into a time-convolutionless and homogeneous form
, which generates a substitutive Markov process with the same single event behaviour as the process in question. |
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