由热1/f噪声控制的反常逃逸
Anomalous escape governed by thermal 1/f noise
摘要：
我们提出了一个解析研究的亚扩散逃逸的过阻尼粒子的尖形抛物势阱，驱动的热，分数高斯噪声与$1/ω^{1-α}$功率谱。这个长期存在的挑战成为数学上易于处理的广义朗之万动力学通过其相应的非马尔可夫，时间卷积主方程：我们发现，逃逸是由一个幂律的指数指数依赖于势垒高度和温度的比率渐近。这一结果与相应的亚扩散分数Fokker-Planck方法的描述形成鲜明对比，从而为实验者提供了一个适合的测试平台来区分两种逃逸情况。
英文摘要：
We present an analytic study for subdiffusive escape of overdamped particles out of a cusp-shaped parabolic potential well which are driven by thermal, fractional Gaussian noise with a $1/ω^{1-α}$ power spectrum. This long-standing challenge becomes mathematically tractable by use of a generalized Langevin dynamics via its corresponding non-Markovian, time-convolutionless master equation: We find that the escape is governed asymptotically by a power law whose exponent depends exponentially on the ratio of barrier height and temperature. This result is in distinct contrast to a description with a corresponding subdiffusive fractional Fokker-Planck approach; thus providing experimentalists an amenable testbed to differentiate between the two escape scenarios.
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