Langevin Trajectories between Fixed Concentrations
Mathematical Physics
2009-11-11 v1 math.MP
Abstract
We consider the trajectories of particles diffusing between two infinite baths of fixed concentrations connected by a channel, e.g. a protein channel of a biological membrane. The steady state influx and efflux of Langevin trajectories at the boundaries of a finite volume containing the channel and parts of the two baths is replicated by termination of outgoing trajectories and injection according to a residual phase space density. We present a simulation scheme that maintains averaged fixed concentrations without creating spurious boundary layers, consistent with the assumed physics.
Cite
@article{arxiv.math-ph/0501004,
title = {Langevin Trajectories between Fixed Concentrations},
author = {B. Nadler and Z. Schuss and A. Singer},
journal= {arXiv preprint arXiv:math-ph/0501004},
year = {2009}
}