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- W4294828150 abstract "Thermodynamics as limiting behaviors of statistics is generalized to arbitrary system with probability {it a priori} where thermodynamic infinite-size limit is replaced by multiple-measurement limit. A duality symmetry between Massieu's and Gibbs' entropy arises in the limit of infinitely repeated observations, yielding the Gibbs equation and Hill-Gibbs-Duhem equation (HGDE) as dual pair. If a system has thermodynamic limit satisfying Callen's postulate, entropy being an Eulerian function, the symmetry is lost: the HGDE reduces to the Gibbs-Duhem equation. This theory provides a de-mechanized foundation for classical and nanothermodynamics and offers a framework for distilling emergence from large data, free from underlying details." @default.
- W4294828150 created "2022-09-06" @default.
- W4294828150 creator A5027668881 @default.
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- W4294828150 date "2020-09-26" @default.
- W4294828150 modified "2023-10-18" @default.
- W4294828150 title "Emergence and Breaking of Duality Symmetry in Generalized Fundamental Thermodynamic Relations" @default.
- W4294828150 doi "https://doi.org/10.48550/arxiv.2009.12644" @default.
- W4294828150 hasPublicationYear "2020" @default.
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