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Condensed Matter > Statistical Mechanics

arXiv:2510.09467 (cond-mat)
[Submitted on 10 Oct 2025 ]

Title: Restoring detailed balance in non-Hermitian Markov processes

Title: 在非厄米马尔可夫过程中恢复详细平衡

Authors:Tim Van Wesemael, Gilberto Nakamura, Jan Baetens, Odemir M. Bruno, Alexandre S. Martinez, Christophe Deroulers
Abstract: 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.
Abstract: 非平衡随机过程通常涉及破坏细致平衡的不对称贡献,导致熵产生非单调,限制了热力学解释和推断技术。 在这里,我们使用Dyson变换在这些过程中恢复单调的熵增长,使得可以使用统计物理中的标准工具,提供一种通用且计算上可行的方法,适用于一大类马尔可夫系统。
Comments: 16 pages, 6 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech)
MSC classes: 82C05
Cite as: arXiv:2510.09467 [cond-mat.stat-mech]
  (or arXiv:2510.09467v1 [cond-mat.stat-mech] for this version)
  https://doi.org/10.48550/arXiv.2510.09467
arXiv-issued DOI via DataCite

Submission history

From: Tim Van Wesemael [view email]
[v1] Fri, 10 Oct 2025 15:24:06 UTC (366 KB)
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