在快速热平衡协议中分析结果和普遍行为
Diego Rengifo1, Gabriel Téllez1
1Physics Department, Universidad de los Andes, 111711 Bogotá, Colombia.
Physical review. E
|February 17, 2024
概括
研究人员开发了一种两步协议,以分析地解决热力学概率分布的系统驱动到平衡. 简短的协议持续时间揭示了在工作,热量和生产中的普遍行为.
科学领域:
- 统计力学和热力学.
- 非平衡系统 非平衡系统
- 量子控制是一种量子控制.
背景情况:
- 偏离平衡的系统可以被控制在有限的时间内达到平衡.
- 捷径到平衡协议操纵系统,经常减少放松时间表.
- 这些协议中对工作,热量和分布的分析解决方案很少.
研究的目的:
- 为快捷平衡过程提出一个可通用的两步协议.
- 导出热力学概率分布 (工作,热,) 的分析解决方案.
- 在非常短的协议持续时间的限制中调查普遍的行为.
主要方法:
- 开发一个简化的两步控制协议.
- 对热力学量概率分布的分析推导.
- 对比放松时间 (t_f ≪ τ_relax) 短得多的协议持续时间的系统行为分析.
主要成果:
- 拟议的两步协议为工作,热量和分布提供了分析解决方案.
- 普遍行为的证据是积极和消极的工作,热量和产生的的概率分布的比率.
- 这种普遍性出现在非常短的协议持续时间 (t_f ≪ τ_relax) 的制度中.
结论:
- 该研究提供了一个可处理的模型,用于分析快捷方式到平衡协议.
- 对于热力学数量的分析结果是可以实现的,提供了更深入的见解.
- 普遍的缩放定律支配了短时间动态,简化了对非平衡过程的理解.
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