Entropy augmentation through subadditive excess: information theory in irreversible processes
Within its range of applicability, the Boltzmann equation seems unique in its capacity to accurately describe the transition from almost any initial state to a self-equilibrated thermal state. Using information-theoretic methods to rephrase the key idea of Maxwell and Boltzmann, the Stoßzahlansatz,...
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Veröffentlicht in: | arXiv.org 2024-07 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | Within its range of applicability, the Boltzmann equation seems unique in its capacity to accurately describe the transition from almost any initial state to a self-equilibrated thermal state. Using information-theoretic methods to rephrase the key idea of Maxwell and Boltzmann, the Stoßzahlansatz, a far more general, abstract ansatz is developed. An increase of the Gibbs-Shannon-von Neumann entropy results without the usual coarse-graining. The mathematical structure of the ansatz also provides avenues for efficient computation and simulation. |
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ISSN: | 2331-8422 |