title: Relaxation in finite and isolated classical systems: an extension of Onsager's regression hypothesis.
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.
authors.affiliation: Centro de Ciências Naturais e Humanas, Universidade Federal do ABC, Santo André-SP, Brazil. marcus.bonanca@ufabc.edu.br
authors.forename: Marcus V S
authors.initials: MV
authors.lastname: Bonança
mesh_terms: D003198:Computer Simulation; D008956:Models, Chemical; D015233:Models, Statistical; D011789:Quantum Theory; D012044:Regression Analysis; D013816:Thermodynamics