稳态热力学:描述等价性和违反储独立性的情况
Leonardo Ferreira Calazans1, Ronald Dickman1
1Departamento de Física and National Institute of Science and Technology for Complex Systems, ICEx, Universidade Federal de Minas Gerais, C. P. 702, 30123-970 Belo Horizonte, Minas Gerais, Brazil.
Physical review. E
|June 17, 2023
概括
在不平衡稳定状态下,热力学特性是同等的,无论粒子数量或化学潜力如何. 然而,当粒子储库交换对而不是单个粒子时,这种等价性就会崩.
科学领域:
- 统计力学就是统计力学.
- 非平衡的热力学.
- 格子模型格子模型
背景情况:
- 有效的热力学参数 (温度T,化学潜力μ) 可以在非平衡稳定状态下的随机格子模型中定义.
- 这些参数通常通过与热和颗粒储存库的共存来确定.
研究的目的:
- 为了验证驱动格子气体中粒子的概率分布的大偏差形式.
- 为了研究隔离测定和与粒子储接触时的热力学性质的等价性.
- 探索是否有效的密集参数取决于水库交换的性质 (单对对粒子).
主要方法:
- 对驱动格子气体中粒子数量的概率分布P_N的分析.
- 检查与具有无维化学潜力μ*的粒子储接触的系统.
- 在固定的粒子数和固定的化学潜能表示中比较热力学性质.
主要成果:
- 概率分布 P_N 在热力学极限中遵循一个大偏差的形式.
- 隔离和储接触描述之间的热力学属性是相当的 (描述等价性).
- 当粒子储库交换粒子对时,这种等价性就会被破坏,这与平衡系统不同.
结论:
- 描述等价性适用于非平衡稳定状态中的单粒子交换.
- 基于密集变量的稳定状态热力学的普遍性是有限的,因为它违反了对粒子储库的等价性.
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