Classical typicality of the canonical distribution

Show simple item record Plastino, Angel Ricardo (Angelo) Daffertshofer, A. 2009-05-12T06:45:47Z 2009-05-12T06:45:47Z 2008-11
dc.description.abstract We consider the typicality of the canonical ensemble’s probability distribution from a classical perspective, resuming recent discussions on quantum-mechanical aspects of canonical typicality. In the conventional derivation of the classical canonical distribution for a system S that is weakly coupled to a heat bath B, it is assumed that the composite S +B is epresented by the microcanonical ensemble i.e., by a uniform probability distribution on an energy shell of the composite S +B. Here we show that for a very large heat bath almost all probability distributions defined on this energy shell behave according to the microcanonical ensemble, yielding a marginal probability distribution for S of the canonical form. Consequently, the classical canonical distribution can be regarded as much more “typical” than suggested by the standard derivation. en_US
dc.identifier.citation Plastino, AR & Daffertshofer, A 2008,‘Classical typicality of the canonical distribution’, Europhysics Letters, vol. 84, no. 3, pp. 1-5. [] en_US
dc.identifier.issn 0295-5075
dc.identifier.other 10.1029/0295-5075/84/30006
dc.language.iso en en_US
dc.publisher EPLA en_US
dc.rights EPLA en_US
dc.subject Canonical distribution en_US
dc.subject Microcanonical ensemble en_US
dc.subject.lcsh Physics
dc.subject.lcsh Quantum theory
dc.subject.lcsh Gibbs' free energy
dc.title Classical typicality of the canonical distribution en_US
dc.type Article en_US

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