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
1. Verfasser: Stockburger, Jürgen T
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.
ISSN:2331-8422