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• W2947565917 endingPage "121822" @default.
• W2947565917 startingPage "121822" @default.
• W2947565917 abstract "The entropy of a thermally isolated system should not decrease after a quench or external driving. For a classical system following Hamiltonian dynamics, we show how this statement emerges for a large system in the sense that the extensive part of the entropy change does not become negative. However, for any finite system and small driving, the mean entropy change can well be negative. We derive these results using as micro-canonical entropy a variant recently introduced by Swendsen and co-workers called ”canonical”. This canonical entropy is the one of a canonical ensemble with the corresponding mean energy. As we show by refining the micro-canonical Crooks relation, the same results hold true for the two more conventional choices of micro-canonical entropy given either by the area of a constant energy shell, the Boltzmann entropy, or the volume underneath it, the Gibbs volume entropy. These results are exemplified with quenched N-dimensional harmonic oscillators." @default.
• W2947565917 created "2019-06-07" @default.
• W2947565917 creator A5080004413 @default.
• W2947565917 date "2020-08-01" @default.
• W2947565917 modified "2023-10-14" @default.
• W2947565917 title "Entropy and the second law for driven, or quenched, thermally isolated systems" @default.
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• W2947565917 doi "https://doi.org/10.1016/j.physa.2019.121822" @default.
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