论文标题
双孔电势中引导不足的异常动力学
Underdamped, anomalous kinetics in double-well potentials
论文作者
论文摘要
噪声驱动的动作可作为各种物理现象的原型模型。在这里，我们将过度阻尼的动态与完整的（失败）动力学进行了对比。对于由非平衡驱动的过度阻尼粒子，$α$稳定的噪声比向前和向后过渡速率的比率仅取决于将两个最小值分开的潜在屏障的宽度。使用分析和数值方法，我们表明，在完全动力学的状态下，与过度阻尼的情况相反，过渡速率之比都取决于潜在屏障的宽度和高度。通过广泛的数值模拟证实了过渡速率比率的分析公式。
The noise driven motion in a bistable potential acts as the archetypal model of various physical phenomena. Here, we contrast the overdamped dynamics with the full (underdamped) dynamics. For the overdamped particle driven by a non-equilibrium, $α$-stable noise the ratio of forward and backward transition rates depends only on the width of a potential barrier separating both minima. Using analytical and numerical methods, we show that in the regime of full dynamics, contrary to the overdamped case, the ratio of transition rates depends both on widths and heights of the potential barrier. The analytical formula for the ratio of transition rates is corroborated by extensive numerical simulations.
