Entropy augmentation through subadditive excess: information theory in irreversible processes

• URL: http://arxiv.org/abs/2407.17322v1
• Date: Wed, 24 Jul 2024 14:47:14 GMT
• Title: Entropy augmentation through subadditive excess: information theory in irreversible processes
• Authors: Jürgen T. Stockburger,
• Abstract summary: The Boltzmann equation seems unique in its capacity to accurately describe the transition from almost any initial state to a self-equilibrated thermal state. An increase of the Gibbs-Shannon-von 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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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 Sto{\ss}zahlansatz, 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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