학술논문
On the simulation of the Smoluchowski boundary condition and the interpolation of brownian paths
Document Type
Article
Author
Source
Molecular Physics; January 1986, Vol. 57 Issue: 1 p123-128, 6p
Subject
Language
ISSN
00268976; 13623028
Abstract
An artefact of simulating diffusion-controlled reactions with a discrete time-step, which arises from lack of knowledge of the trajectory within the time-step, is discussed. A method of interpolating the trajectory to arbitrary accuracy is derived and the interpolated 'brownian bridge' process is used to calculate the probability that reaction has occurred during the time-step given the initial and final positions of the particles.