| Issue |
Europhys. Lett.
Volume 75, Number 1, July 2006
|
|
|---|---|---|
| Page(s) | 15 - 21 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2006-10072-2 | |
| Published online | 26 May 2006 | |
Does a Brownian particle equilibrate?
Department of Physics and Engineering Physics, University of Saskatchewan Saskatoon, SK S7N 5E2, Canada
Received:
5
January
2006
Accepted:
9
May
2006
The conventional equations of Brownian motion can be derived from
the first principles to order 
,
where m and M are the masses
of a bath molecule and a Brownian particle, respectively.
We discuss the extension to order 
using
a perturbation analysis of the Kramers-Moyal expansion.
For the momentum distribution such method
yields an equation whose stationary solution is
inconsistent with Boltzmann-Gibbs statistics.
This property originates entirely from non-Markovian corrections
which are negligible in lowest order but contribute to order
.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.20.-y – Classical statistical mechanics
© EDP Sciences, 2006
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