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对一个活跃的奥恩斯坦-乌伦贝克粒子进行有效的控制协议
Deepak Gupta1,2,3, Sabine H L Klapp3, David A Sivak2
1Nordita, Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden.
Physical review. E
|September 19, 2023
概括
优化了控制随机系统的协议,比如活跃的奥恩斯坦-乌伦贝克粒子,最大限度地减少了多余的工作. 这些高效的协议在各种持续时间内优于恒定速度方法.
科学领域:
- 统计力学 统计力学
- 非平衡的热力学 热力学
- 随机过程 随机过程
背景情况:
- 随机系统需要研究和应用的高效控制协议.
- 活性奥恩斯坦-乌伦贝克粒子 (AOUP) 模型用于研究驱动系统.
- 双晶潜能在控制粒子动态方面带来了挑战.
研究的目的:
- 设计和评估AOUP在可可视化潜力中的高效控制协议.
- 调查过剩工作最小化在协议效率中的作用.
- 将优化的协议与天真的恒定速度协议进行比较.
主要方法:
- 扩展对随机系统的控制理论.
- 模拟一个AOUP驱动的和陷在一个可比电位.
- 分析过度工作,特别是在线性响应理论中.
主要成果:
- 尽量减少多余工作的协议显示出卓越的性能.
- 优化协议比恒定速度协议更有效.
- 在广泛的协议持续时间范围内观察到性能改善.
结论:
- 尽量减少多余的工作是有效的随机系统控制的关键策略.
- 开发的协议设计比现有方法提供了显著的改进.
- 这项工作促进了对非平衡统计物理学中驱动系统的理解.
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