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Relaxation in finite and isolated classical systems: an extension of Onsager's regression hypothesis
1Centro de Ciências Naturais e Humanas, Universidade Federal do ABC, Santo André-SP, Brazil. marcus.bonanca@ufabc.edu.br
Abstract:
In order to derive the reciprocity relations, Onsager formulated a relation between thermal equilibrium fluctuations and relaxation widely known as regression hypothesis. It is shown in the present work how such a relation can be extended to finite and isolated classical systems. This extension is derived from the fluctuation-dissipation theorem for the microcanonical ensemble. The results are exemplified with a nonintegrable system in order to motivate possible applications to dynamical systems and statistical mechanics of finite systems.
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