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• W1997356070 abstract "Two approaches to describing the thermodynamics of a subsystem that interacts with a thermal bath are considered. Within the first approach, the mean system energy ${E}_{S}$ is identified with the expectation value of the system Hamiltonian, which is evaluated with respect to the overall $(text{system}+text{bath})$ equilibrium distribution. Within the second approach, the system partition function ${Z}_{S}$ is considered as the fundamental quantity, which is postulated to be the ratio of the overall $(text{system}+text{bath})$ and the bath partition functions, and the standard thermodynamic relation ${E}_{S}=ensuremath{-}d(text{ln}text{ }{Z}_{S})/densuremath{beta}$ is used to obtain the mean system energy. Employing both classical and quantum-mechanical treatments, the advantages and shortcomings of the two approaches are analyzed in detail for various different systems. It is shown that already within classical mechanics both approaches predict significantly different results for thermodynamic quantities provided the system-bath interaction is not bilinear or the system of interest consists of more than a single particle. Based on the results, it is concluded that the first approach is superior." @default.
• W1997356070 created "2016-06-24" @default.
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• W1997356070 date "2009-05-20" @default.
• W1997356070 modified "2023-10-05" @default.
• W1997356070 title "Thermodynamics of a subensemble of a canonical ensemble" @default.
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• W1997356070 doi "https://doi.org/10.1103/physreve.79.051121" @default.
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