Brownian Dynamics, Time-averaging and Colored Noise

Details Brownian Dynamics, Time-averaging and Colored Noise Brownian Dynamics, Time-averaging and Colored Noise

2006-01-18

arxiv.org/abs/cond-mat/0601419v2

Physica A vol. 365 (2006) 289-299

Physics

Condensed Matter

Statistical Mechanics

1 figure

Scientific paper

10.1016/j.physa.2006.01.063

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.

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