噪音等于控制的控制
1Toronto Metropolitan University, Department of Physics, 350 Victoria St. Toronto, Ontario, Canada M5B 2K3.
Physical review. E
|September 16, 2025
概括
噪音在随机系统中起到控制作用,指导最可能的轨迹. 这项研究确定了一个"响应"字段作为复杂系统中的控制变量,揭示了自然界的性质.
科学领域:
- 物理 物理学 物理
- 化学 化学 化学
- 系统生物学 系统生物学
背景情况:
- 随机系统表现出一种控制理论解释,其中噪声作为控制机制起作用.
- 在弱噪声极限中,状态之间的最可能的轨迹最小化了一个功能性的动作,类似于最佳控制.
- 多伊-佩利蒂形式主义描述了一般的马尔科夫跳跃过程,但反应场的作用尚不清楚.
研究的目的:
- 在随机系统中建立噪声和控制之间的精确数学映射.
- 解决响应场的解释问题,用场理论来描述随机系统.
- 为响应场提供物理解释,作为一个控制变量指向罕见的轨迹.
主要方法:
- 在一般的马尔科夫跳跃过程中应用Doi-Peliti形式主义.
- 识别"响应" (或"势头") 字段π作为控制变量.
- 在多稳定的化学反应网络,不稳定的固定点,随机共振和布朗杆上进行噪声控制映射的插图.
主要成果:
- 响应场 π 被认为是指导随机系统沿着罕见轨迹的控制变量.
- 这解决了场理论描述中响应场的解释模两可.
- 该映射在各种复杂系统中进行演示,包括化学反应和物理现象.
结论:
- 大自然不断地采样控制策略,噪音作为控制.
- 噪音控制映射证明了对随机现象的代理描述的合理性.
- 这个框架为非平衡统计力学,噪音增强生物机制和新兴代理行为构建了直觉.
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