Approximation of the Mean Escape Time for a Tilted Periodic Potential

作     者：Tamra Heberling Lisa Davis Tomas Gedeon 

作者机构：Los Alamos National LaboratoryXTD-SSLos AlamosNM87545USA Department of Mathematical SciencesMontana State UniversityBozemanMT59717-2400USA 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2019年第25卷第1期

页      面：1-40页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Kopriva Graduate Fellowship Program at Montana State University National Science Foundation, NSF, (DMS-1226213) 

主　　题：Brownian Ratchet multi-periodic potential tilted periodic potential Fokker-Plank equation 

摘      要：We present a formula approximating the mean escape time(MST)of a particle from a tilted multi-periodic potential *** potential function consists of a weighted sum of a finite number of component functions,each of which is *** this particular case,the least period of the potential function is a common period amongst all of its component *** approximation of the MST for the potential function is derived,and this approximation takes the form of a product of the MSTs for each of the individual periodic component *** first example illustrates the computational advantages of using the approximation for model validation and parameter tuning in the context of the biological application of DNA *** also use this formula to approximate the MST for an arbitrary tilted periodic potential by the product of MSTs of a finite number of its Fourier *** examples using truncated Fourier series are presented and analyzed.