Brownian Dynamics, Time-averaging and Colored Noise
Statistical Mechanics
2009-11-11 v2
Abstract
We propose a method to obtain the equilibrium distribution for positions and velocities of a one-dimensional particle via time-averaging and Laplace transformations. We apply it to the case of a damped harmonic oscillator in contact with a thermal bath. The present method allows us to treat, among other cases, a Gaussian noise function exponentially correlated in time, e.g., Gaussian colored noise. We obtain the exact equilibrium solution and study some of its properties.
Cite
@article{arxiv.cond-mat/0601419,
title = {Brownian Dynamics, Time-averaging and Colored Noise},
author = {D. O. Soares-Pinto and W. A. M. Morgado},
journal= {arXiv preprint arXiv:cond-mat/0601419},
year = {2009}
}
Comments
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