BROWNIAN MOTION IN A TWO-DIMENSIONAL POTENTIAL: A NEW NUMERICAL SOLUTION METHOD
BROWNIAN MOTION IN A TWO-DIMENSIONAL POTENTIAL: A NEW NUMERICAL SOLUTION METHOD
复制标题
二维势中的布朗运动：一种新的数值求解方法
DOI：
10.1142/s0217979202011986
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发表时间：
2002
影响因子：
1.7
通讯作者：
Liao Y. Chen
中科院分区：
文献类型：
--
作者：
Liao Y. Chen
Studying the Brownian motion of a particle in a two-dimensional potential with two saddle-point passages connecting two wells, we compute the activation rate of the particle from one well into the other and illustrate a new technique for obtaining numerical solution to the Langevin equation for transition probability. By virtue of a Langevin equation with negative friction, this new method directly traces the active part of an activation event, without having to simulate the long period of small fluctuations in a well between two successful events, and computes the statistical weight for each successful activation. It makes feasible for us to numerically integrate the Langevin equation for transition probability even when the activation energy barrier (i.e. the potential difference between the saddle point and the well) is much greater than thermal energy kBT where other methods fail to be tractable.
