Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Brownian Dynamics, Time-averaging and Colored Noise   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.

33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin