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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.09467 |
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| _version_ | 1866909835305418752 |
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| author | Van Wesemael, Tim Nakamura, Gilberto Baetens, Jan Bruno, Odemir M. Martinez, Alexandre S. Deroulers, Christophe |
| author_facet | Van Wesemael, Tim Nakamura, Gilberto Baetens, Jan Bruno, Odemir M. Martinez, Alexandre S. Deroulers, Christophe |
| contents | Stochastic processes out-of-equilibrium often involve asymmetric contributions that break detailed balance and lead to non-monotonic entropy production, limiting thermodynamic interpretations and inference techniques. Here we use Dyson maps to restore monotonic entropy growth in those processes, allowing the use of standard tools from statistical physics, providing a general and computationally tractable method applicable to a broad class of Markovian systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_09467 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Restoring detailed balance in non-Hermitian Markov processes Van Wesemael, Tim Nakamura, Gilberto Baetens, Jan Bruno, Odemir M. Martinez, Alexandre S. Deroulers, Christophe Statistical Mechanics 82C05 Stochastic processes out-of-equilibrium often involve asymmetric contributions that break detailed balance and lead to non-monotonic entropy production, limiting thermodynamic interpretations and inference techniques. Here we use Dyson maps to restore monotonic entropy growth in those processes, allowing the use of standard tools from statistical physics, providing a general and computationally tractable method applicable to a broad class of Markovian systems. |
| title | Restoring detailed balance in non-Hermitian Markov processes |
| topic | Statistical Mechanics 82C05 |
| url | https://arxiv.org/abs/2510.09467 |