Approximation of the Mean Escape Time for a Tilted Periodic Potential  

作　　者：Tamra Heberling Lisa Davis Tomas Gedeon 

机构地区：[1]Los Alamos National Laboratory,XTD-SS,Los Alamos,NM,87545,USA [2]Department of Mathematical Sciences,Montana State University,Bozeman,MT,59717-2400,USA

出　　处：《Communications in Computational Physics》2019年第1期1-40,共40页计算物理通讯（英文）

摘　　要：We present a formula approximating the mean escape time(MST)of a particle from a tilted multi-periodic potential well.The potential function consists of a weighted sum of a finite number of component functions,each of which is periodic.For this particular case,the least period of the potential function is a common period amongst all of its component functions.An 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 functions.Our 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 transcription.We 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 modes.Two examples using truncated Fourier series are presented and analyzed.

关 键 词：Brownian Ratchet multi-periodic potential tilted periodic potential Fokker-Plank equation 

分 类 号：O17[理学—数学]