Restoring detailed balance in non-Hermitian Markov processes
Statistical Mechanics
2025-10-13 v1
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.
Keywords
Cite
@article{arxiv.2510.09467,
title = {Restoring detailed balance in non-Hermitian Markov processes},
author = {Tim Van Wesemael and Gilberto Nakamura and Jan Baetens and Odemir M. Bruno and Alexandre S. Martinez and Christophe Deroulers},
journal= {arXiv preprint arXiv:2510.09467},
year = {2025}
}
Comments
16 pages, 6 figures