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01627nam a2200265Ia 4500 |
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10.1103-PhysRevLett.128.150603 |
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220510s2022 CNT 000 0 und d |
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|a 00319007 (ISSN)
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|a Emergence and Breaking of Duality Symmetry in Generalized Fundamental Thermodynamic Relations
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| 260 |
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|b American Physical Society
|c 2022
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| 856 |
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|z View Fulltext in Publisher
|u https://doi.org/10.1103/PhysRevLett.128.150603
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|a Thermodynamics as limiting behaviors of statistics is generalized to arbitrary systems with probability a priori where the thermodynamic infinite-size limit is replaced by a multiple-measurement limit. A duality symmetry between Massieu's and Gibbs's entropy arises in the limit of infinitely repeated observations, yielding the Gibbs equation and Hill-Gibbs-Duhem equation (HGDE) as a dual pair. If a system has a 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. © 2022 American Physical Society.
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|a Arbitrary systems
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|a Breakings
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|a Dual pairs
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|a Eulerian
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|a Gibbs entropy
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|a Gibbs equation
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|a Gibbs-Duhem equation
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|a Limiting behavior
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|a Multiple measurements
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|a Thermodynamic limits
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|a Lu, Z.
|e author
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|a Qian, H.
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|t Physical Review Letters
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