在具有奇偶弹性的朗格温系统中,随机状态转换的不可逆性
1Research Institute for Mathematical Sciences, <a href="https://ror.org/02kpeqv85">Kyoto University</a>, Kyoto 606-8502, Japan.
Physical review. E
|July 18, 2024
概括
活跃的微观物体中奇怪的弹性,如酶,引入了独特的能量动态. 这种"奇异性"增加了随机状态过渡的不确定性,这是理解活性物质的关键发现.
科学领域:
- 统计力学 统计力学
- 生物物理学的生物物理.
- 活动物质物理学 活动物质物理学
背景情况:
- 活跃的微观物体,如酶,表现出由内部能量注入驱动的复杂动力学.
- 这些系统的建模通常涉及朗格温方程,但将能量注入纳入需要专门的弹性矩阵属性.
研究的目的:
- 使用具有奇数弹性的朗格温系统来建模活跃的微观物体.
- 分析这种奇异弹性对状态转换的不可逆性和不确定性的影响.
- 导出状态转换的累积生成函数 (CGF) 的正式表达式.
主要方法:
- 在兰格温系统中应用Onsager-Machlup积分和大偏差理论.
- 对N组件系统进行分析,以获得正式的CGF表达式.
- 详细检查最简单的两组件系统,以确定最佳路径和CGF.
主要成果:
- 证明弹性矩阵中的奇点 (λ) 引入了被动系统中缺少的更高阶累积物.
- 在具有奇偶弹性的系统中获得状态过渡的CGF.
- 表明累积物随着奇异性单调增加,表明不确定性增加.
结论:
- 奇偶弹性是活跃微观物体随机行为的关键因素.
- 奇点参数 (λ) 与状态转换的不确定性直接相关.
- 该框架提供了一种定量方法,以了解活跃系统中的能量注入效应.
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