Entropy augmentation through subadditive excess: information theory in irreversible processes
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866908577616101376 |
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| author | Stockburger, Jürgen T. |
| author_facet | Stockburger, Jürgen T. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17322 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Entropy augmentation through subadditive excess: information theory in irreversible processes Stockburger, Jürgen T. Statistical Mechanics Quantum Physics 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. |
| title | Entropy augmentation through subadditive excess: information theory in irreversible processes |
| topic | Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2407.17322 |