噪声驱动下热浴与亚稳态弱相互作用系统的逃逸率
Escape rate from a metastable state weakly interacting with a heat bath driven by an external noise
摘要：
基于一个系统-水库模型，其中水库由外部平稳，高斯噪声与任意衰减的相关函数驱动，我们研究了逃逸率从亚稳态的能量扩散制度。对于开放系统，我们在能量空间中推导出Fokker-Planck方程，并随后在能量扩散域中计算了从亚稳阱的广义非马尔可夫逃逸率。通过考虑模型立方势中的动力学，我们表明，从数值模拟得到的结果与理论预测符合得很好。数值结果还表明，从我们的模型中可以恢复众所周知的周转特征。
英文摘要：
Based on a system-reservoir model, where the reservoir is driven by an external stationary, Gaussian noise with arbitrary decaying correlation function, we study the escape rate from a metastable state in the energy diffusion regime. For the open system we derive the Fokker-Planck equation in the energy space and subsequently calculate the generalized non-Markovian escape rate from a metastable well in the energy diffusion domain. By considering the dynamics in a model cubic potential we show that the results obtained from numerical simulation are in good agreement with the theoretical prediction. It has been also shown numerically that the well known turnover feature can be restored from our model.
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。
