在布朗粒子中动态出现的相关性受到同时非波伊森重置协议的约束
Gabriele de Mauro1, Marco Biroli1, Satya N Majumdar1
1Université Paris-Saclay, CNRS, LPTMS, Univ. Paris-Sud, 91405 Orsay, France.
Physical review. E
|February 20, 2026
概括
随机重置在布朗粒子系统中产生相关性,导致可调节的,强烈相关的不平衡静止状态 (NESS). 这允许精确计算各种重置协议的粒子分布和可观测值.
科学领域:
- 统计物理 统计物理
- 非线性动力学是一种非线性动力学.
- 多体系统是多体系统.
背景情况:
- 独立的布朗粒子表现出简单的动力学.
- 随机重置引入非马科夫行为,并可以改变系统状态.
- 了解具有复杂动态的多体系统对于统计物理学至关重要.
研究的目的:
- 为了研究同步随机重置对N个布朗粒子的1D气体的影响.
- 分析相关性和非平衡静止状态 (NESS) 的出现.
- 在一般重置协议下,导出粒子分布和物理可观测的分析表达式.
主要方法:
- 建模一个由N个独立的布朗粒子组成的1D气体,同时进行随机重置.
- 使用一个一般的等待时间分布 ψ(τ) 对间重置时间.
- 利用重置动态的更新结构来进行分析推导.
- 分析不同重置协议的大N缩放行为.
主要成果:
- 同时重置动态生成粒子之间的相关性.
- 这些相关性导致强烈相关的不平衡静止状态 (NESS).
- 为NESS中的粒子联合分布得出了明确的分析表达式.
- NESS具有条件独立且分布相同的结构,可以准确计算可观测值.
- 对于各种可观测的物体,确定了普遍的大N缩放行为.
结论:
- 随机重置可以用作控制机制,生成可调节,可解决,高度相关的NESS.
- 选择间重置分布 ψ(τ) 显著影响系统相关性和稳定状态属性.
- 这项工作为分析具有随机控制的复杂多体系统提供了一个框架.
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