RRn上一般跳跃扩散的熵产率和时间可逆性。

IF 3.2 2区数学 Q1 MATHEMATICS, APPLIED

Chaos Pub Date : 2025-10-01 DOI:10.1063/5.0293862

Qi Zhang, Yubin Lu

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引用次数: 0

摘要

本文研究了Rn上一般跳跃扩散（lsamvy过程）的熵产率和时间可逆性。我们首先推导出跳跃扩散的熵产率，并探讨其相关的热力学关系。随后，我们通过Girsanov变换，利用平稳跳跃扩散的正反向路径测度之间的相对熵，推导出熵产生率。在此基础上，建立了稳态跳跃扩散的时间可逆性、零熵产生率、详细平衡条件和梯度结构之间的等价性。

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Entropy production rate and time-reversibility for general jump diffusions on RRn.

This paper investigates the entropy production rate and time-reversibility for general jump diffusions (Lévy processes) on Rn. We first formulate the entropy production rate and explore its associated thermodynamic relations for jump diffusions. Subsequently, we derive the entropy production rate using the relative entropy between the forward and time-reversed path measures for stationary jump diffusions via the Girsanov transform. Furthermore, we establish the equivalence among time-reversibility, zero entropy production rate, detailed balance condition, and the gradient structure for stationary jump diffusions.

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来源期刊

Chaos 物理-物理：数学物理

CiteScore

5.20

自引率

13.80%

发文量

448

审稿时长

2.3 months

期刊介绍： Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.