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随机步行与水平和周期电流的随机步行
Joanna Li1,2, Matthew Gerry1, Israel Klich3
1University of Toronto, Department of Physics, 60 Saint George St., Toronto, Ontario M5S 1A7, Canada.
Physical review. E
|February 20, 2025
概括
最小的双链随机步行模型中的波动揭示了它的结构和不平衡条件. 分析电流和累积物有助于理解各种系统中的传输特性.
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.
- 复杂的系统复杂的系统.
背景情况:
- 了解合系统中的运输现象对于材料科学和细胞生物学等领域至关重要.
- 描述不平衡条件和系统参数通常依赖于宏观观测,但微观波动可以提供更深入的见解.
研究的目的:
- 调查最小的双链随机步行模型中运输的波动和更高阶累积物如何提供有关其结构,参数和不平衡性质的信息.
- 探索这些可观测的实用性,无论是在稳定状态和过渡状态.
主要方法:
- 构建一个最小的双链随机步行模型,具有水平和循环运输.
- 累积生成函数的导出,以描述长时间限制中的运输.
- 分析各种条件下的电流波动和高阶累积值,包括零水平电流.
- 在达到稳定状态之前,运输动态的模拟.
主要成果:
- 水平或循环电流及其累积物可以独特地识别模型结构和参数.
- 水平电流波动信号不平衡条件,即使平均电流为零.
- 的产量率实际上是以循环或水平电流在零水平电流极限附近的相对噪声为下限.
- 链间跳转率可以从短暂运输模拟中提取.
结论:
- 运输现象的波动包含有关底层系统动态和参数的丰富信息.
- 开发的模型和分析框架为描述复杂的运输系统提供了强大的工具.
- 潜在的应用范围包括化学网络,生物过程和用于电荷和能量传输的先进材料.
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