在重置下的单个文件模型中,准确的波动和长距离相关性
Saikat Santra1, Prashant Singh2
1International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bengaluru 560089, India.
Physical review. E
|April 18, 2024
概括
随机重置对系统产生深远影响,在一维随机平均过程中影响粒子动态. 重置为对称与不对称的粒子运动创造了不同的行为,改变了相关性和方差.
科学领域:
- 统计物理 统计物理
- 复杂的系统复杂的系统.
- 非平衡的动力学.
背景情况:
- 随机重置是一种更新机制,涉及间歇性的过程重复,影响系统行为和搜索过程.
- 了解重置对复杂系统,特别是粒子动态的影响,对于非平衡统计力学至关重要.
研究的目的:
- 调查随机重置对一维随机平均过程 (RAP) 中标记粒子动态的影响.
- 在重置下分析计算关键的统计属性,如对称和不对称粒子运动的方差和相关性.
主要方法:
- 在1D RAP中分析计算差异,等时相关性,自相关性和不等时相关性,用于1D RAP中的标记粒子.
- 专注于比较带有和没有随机重置的动态,以及对称和不对称的粒子运动之间的动态.
- 通过广泛的数值模拟来验证分析结果.
主要成果:
- 随机重置导致不同的行为,取决于粒子运动对称性 (对称与不对称).
- 在重置下不对称的运动会诱导远程相关性,而在无重置系统中没有这种相关性.
- 变量表现出独特的缩放行为:对称的情况下衰减为~e^{-rt}/sqrt[t],对不对称的情况下衰减为~te^{-rt} (r=重置速率).
结论:
- 随机重置显著改变了1D RAP的统计性质,结果强烈依赖粒子运动方向性.
- 该研究揭示了通过重置诱导的新型相关性模式和差异缩放,特别是在不对称的场景中.
- 分析和数值结果提供了对重置对单个文件系统的影响的全面了解.
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