A Gear-like Predictor-Corrector method for Brownian Dynamics Simulation
Plasma Physics
2008-07-26 v2 Computational Physics
Abstract
We introduce a Predictor-Corrector type method suitable for performing many-particle Brownian Dynamics simulations. Since the method goes over to the Gear's method for Molecular Dynamics simulation in the limit of vanishing friction, we refer to it as a Gear-like algorithm. The algorithm has been tested on a one-dimensional, stochastically damped harmonic oscillator model, showing that it can cover a wide range of friction coefficients with a high-order accuracy, excellent stability, and a very small energy drift on the long time scales.
Cite
@article{arxiv.0806.3912,
title = {A Gear-like Predictor-Corrector method for Brownian Dynamics Simulation},
author = {Lu-Jing Hou and Z. L. Mišković},
journal= {arXiv preprint arXiv:0806.3912},
year = {2008}
}
Comments
New references added, Introduction and Conclusions sections re-written