运行和倒的粒子的 entropy 生产
Matteo Paoluzzi1, Andrea Puglisi2,3, Luca Angelani2,3
1Istituto per le Applicazioni del Calcolo, Consiglio Nazionale delle Ricerche, Via Pietro Castellino 111, I-80131 Napoli, Italy.
Entropy (Basel, Switzerland)
|June 26, 2024
概括
我们分析了run-and-tumble模型中的产量,使用福克-普朗克方程获得了对异构和多维运动的准确结果. 这为理解复杂系统中的非平衡统计力学提供了一个框架.
科学领域:
- 统计力学 统计力学
- 非平衡物理 不平衡物理
- 理论生物物理学 理论生物物理学
背景情况:
- 运行和倒模型对于描述活性物质动态是至关重要的.
- 了解生成是描述非平衡过程的关键.
- 福克-普朗克方程为分析随机系统提供了一个强大的框架.
研究的目的:
- 在各种运行和倒模型中分析产量.
- 为了获得简单和复杂场景的确切结果.
- 将分析扩展到异构和多维系统.
主要方法:
- 在一个维度中使用福克-普朗克方程的一般形式主义.
- 导出自由和受限粒子的确切结果.
- 扩展到不同的速度和翻转率的异构运动.
- 对空间依赖参数和d维运动的分析.
主要成果:
- 在简单和异构的情况下,用于产量率的确切表达式.
- 分析异质和多维运行和倒运动的框架.
- 通过一般形式主义验证已知的结果.
结论:
- 这项研究为运行和倒模型中的生成提供了一个全面的框架.
- 准确的结果可用于各种物理情况,包括异构和d维的情况.
- 这些发现有助于理解活性物质中的非平衡统计力学.
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