在当地时间和占用时间的统计数据中存在很大的偏差,对于一个运行和的粒子粒子来说
Soheli Mukherjee1, Pierre Le Doussal2, Naftali R Smith1
1Department of Environmental Physics, Blaustein Institutes for Desert Research, <a href="https://ror.org/05tkyf982">Ben-Gurion University of the Negev</a>, Sede Boqer Campus, 8499000, Israel.
Physical review. E
|September 19, 2024
概括
我们研究了RTP在特定位置花费的时间. 我们发现,当漂移存在时,它们的行为呈现出一级动态相位过渡,影响它们在原点和间隔内花费的时间.
科学领域:
- 统计力学 统计力学
- 软物质物理学 软物质物理学
- 动态系统 动态系统
背景情况:
- 运行和的粒子 (RTPs) 是活性物质呈现间歇运动的最小模型.
- 了解RTP的统计性质对于建模生物系统和合成活性物质至关重要.
研究的目的:
- 调查一维RTP的当地时间和占用时间的统计属性.
- 分析外部漂移对这些统计数据的影响.
- 探索RTP行为中的潜在动态相位过渡.
主要方法:
- 将当地时间与原产地交叉路口联系起来.
- 使用大偏差原理.
- 将Donsker-Varadhan形式主义扩展到RTPs.
- 在有限的间隔内分析占用时间统计.
主要成果:
- RTPs的本地时间分布满足了大偏差原则.
- 在漂移的存在下,一个非分析速率函数表示一级动态相位过渡.
- 占用时间统计显示质量上类似的结果,包括长期衰变率.
- 根据间隔大小,条件终点分布从单模向双模转变.
结论:
- 这项研究揭示了漂移驱动的RTP中的新型动态相位过渡.
- 唐斯克-瓦拉丹形式主义可以扩展到RTP系统中分析复杂的可观测量.
- 这些发现提供了关于活性物质在受限或偏差环境中的行为的见解.
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