单一电流的概率

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Statistical Physics Pub Date : 2024-10-18 DOI:10.1007/s10955-024-03338-0

Sylvain Prolhac

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引用次数: 0

摘要

与计算底层马尔可夫过程两个状态之间的电流相关的黎曼曲面是超椭圆的。我们探讨了这一特性对具有一般转换率的马尔可夫过程中随时间变化的电流概率的影响。当系统在静止状态下准备就绪时，通过精确识别其所有极点和零点，就可以完全确定相关的微分。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Probability of a Single Current

The Riemann surface associated with counting the current between two states of an underlying Markov process is hyperelliptic. We explore the consequences of this property for the time-dependent probability of that current for Markov processes with generic transition rates. When the system is prepared in its stationary state, the relevant meromorphic differential is in particular fully characterized by the precise identification of all its poles and zeroes.

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来源期刊

Journal of Statistical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

12.50%

发文量

152

审稿时长

3-6 weeks

期刊介绍： The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.