2017/11/07 by Tamás S. Bíró, Tamás S. Biró, András Telcs +4
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1711.02364
Talk given by T.S.Biró at BGL 2017, Gyöngyös, Hungary
arxiv created 2017/11/07 · openalex publication_date 2017/11/07 · arxiv updated 2017/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
More and more works deal with statistical systems far from equilibrium, dominated by unidirectional stochastic processes augmented by rare resets. We analyze the construction of the entropic distance measure appropriate for such dynamics. We demonstrate that a power-like nonlinearity in the state probability in the master equation naturally leads to the Tsallis (Havrda-Charvát, Aczél-Daróczy) q-entropy formula in the context of seeking for the maximal entropy state at stationarity. A few possible applications of a certain simple and linear master equation to phenomena studied in statistical physics are listed at the end.