热力学权衡关系用于重置过程中的首次通道时间
P S Pal1, Arnab Pal2,3, Hyunggyu Park4
1School of Physics, Korea Institute for Advanced Study, Seoul 02455, Korea.
Physical review. E
|November 18, 2023
概括
本研究探讨了在目标搜索过程中重置的热力学成本. 我们发现即时重置需要无限的工作,而有限时间重置策略提供了更好的时间成本权衡.
科学领域:
- 统计物理学的统计物理.
- 随机过程是指随机的过程.
- 热力学是一种热力学.
背景情况:
- 重置策略可以加速目标搜索过程.
- 之前的研究假设即时重置,忽视了热力学成本.
- 即时重置会产生无限的热力学成本.
研究的目的:
- 为了研究时间和热力学成本之间的权衡在重置过程中.
- 分析第一通道时间 (FPT) 和有限时间重置期间完成的工作.
- 为了推导出一个一般的时间-成本权衡关系,用于随机重置.
主要方法:
- 使用代生成函数方法.
- 采用费曼和卡卡斯的功能计数方法.
- 计算FPT和平均工作,以重置具有捕获潜力.
主要成果:
- 为线性陷潜力推导出一个明确的时间-成本权衡关系.
- 证明即时重置只有在无限工作输入的情况下才可能.
- 显示了衍生出的权衡关系对于各种陷潜力是有效的.
- 发现固定时间重置与随机重置相比,改善了时间成本权衡.
结论:
- 有限时间重置提供了一个比即时重置更现实的和热力学可行的方法.
- 由此衍生的时间成本权衡为重置过程提供了一个基本的限制.
- 固定时间重置为优化在热力学约束下搜索效率的优越策略.
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