不平衡无对称状态热力学理论:作为一个例子,相互作用的埃伦费斯特环
Chi-Ho Cheng1, Pik-Yin Lai2,3
1Department of Physics, National Changhua University of Education, Taiwan, Republic of China.
Physical review. E
|January 20, 2024
概括
一个新的框架,不平衡异常状态 (NEAS),统一了各种不平衡状态,如周期和混乱动态. 这种方法允许使用福克-普朗克方程研究它们的热力学和相位过渡.
科学领域:
- 统计力学 统计力学
- 非平衡的热力学 热力学
- 动态系统理论 动态系统理论
背景情况:
- 传统的热力学主要侧重于平衡状态.
- 描述和统一多样化的不平衡状态仍然是一个挑战.
- 现有的框架往往难以在单一的理论结构中包含周期性或混乱的动态.
研究的目的:
- 提出一个非平衡状态的概括类,即非平衡异常状态 (NEAS).
- 开发一个统一的理论框架,以了解不平衡系统中的各种非对称行为.
- 调查与这些NEAS相关的热力学和相位过渡.
主要方法:
- 在热力学极限中的福克-普朗克方程框架内构建NEAS.
- 应用NEAS热力学来确定不同NEAS的热力学特性.
- 使用交互的Ehrenfest环模型作为一个案例研究.
主要成果:
- 拟议的NEAS框架包括平衡状态,非平衡稳定状态 (NESS),非平衡周期状态 (NEPS),非平衡准周期状态 (NEQPS) 和非平衡混乱状态 (NECS).
- 该理论允许确定各种NEAS的热力学.
- 交互的Ehrenfest环模型成功识别了不同的NEAS,包括NEPS,以及它们的相变.
结论:
- NEAS框架提供了一种统一的方法来分类和研究各种不平衡现象.
- NEAS热力学提供了一种一致的方式来分析这些状态的热力学特性.
- 该研究展示了该框架在理解物理系统中复杂的动态和相位转换方面的实际应用.
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