Kramers率的分数扩张与亚稳势阱势垒的逃逸
Fractional extension of Kramers rate and barrier escaping from metastable potential well
摘要：
研究了势垒逸出亚稳势阱的反应过程，并将Kramers速率公式推广到分数阶情形。特征量计算的一个微不足道的洞察到附近的障碍逃逸和再交叉动力学。其中静态透射系数被揭示为大于通常的情况下，这意味着较少的势垒再交叉。它的非单调变化揭示了它与分数阶指数$α$的密切相关性。在大多数情况下，逃逸动力学的近势垒行为等价于二维非欧姆阻尼系统中的扩散。
英文摘要：
The reactive process of barrier escaping from the metastable potential well is studied together with the extension of Kramers' rate formula to the fractional case. Characteristic quantities are computed for an thimbleful of insight into the near barrier escaping and recrossing dynamics. Where the stationary transmission coefficient is revealed to be larger than the usual cases which implies less barrier recrossing. And the non-monotonic varying of it reveals a close dependence to the fractional exponent $α$. In most cases, the near barrier behavior of the escaping dynamics is equivalent to the diffusion in the two-dimensional non-Ohmic damping system.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
