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在双稳定动态系统中乘法噪声的影响
Sara C Quintanilha Valente1, Rodrigo da Costa Lima Bruni1, Zochil González Arenas2
1PPG-CompMat, Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, Rio de Janeiro 20550-013, RJ, Brazil.
Entropy (Basel, Switzerland)
|February 26, 2025
概括
这项研究扩展了克莱默斯速率公式,用于具有倍数噪声的可比系统. 它揭示了噪声强度和潜在的不对称性如何严重影响逃逸率和系统稳定性.
科学领域:
- 统计物理学的统计物理.
- 非线性动力学是一种非线性动力学.
- 随机过程是指随机的过程.
背景情况:
- 双稳定系统在各种科学领域都是基本的.
- 了解逃跑动态对于预测系统行为至关重要.
- 经典的克莱默斯速率理论对复杂的噪声和潜力有局限性.
研究的目的:
- 扩展克莱默斯速率公式用于在倍数噪声下可比系统.
- 调查依赖状态的扩散和不对称潜力的影响.
- 为噪声诱导的过渡提供一个强大的分析框架.
主要方法:
- 一般化随机微积分框架.
- 分析逃脱率表达式的导数.
- 数字模拟用于验证.
- 路径积分技术和弱噪声近似值.
主要成果:
- 获得了逃逸率的分析表达式.
- 确定平衡潜力Ueq(x) 是关键的,包括噪声强度和扩散.
- 不对称和随机计算显著影响过渡率和平衡.
- 分析了障碍抑制和转稳态衰变等现象.
结论:
- 拟议的框架准确地描述了复杂系统中的逃逸动态.
- 噪声强度,不对称性和扩散特性是系统过渡的关键因素.
- 这项研究为了解跨学科的噪音诱导过渡提供了全面的基础.
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