Langevin Trajectories between Fixed Concentrations
Nadler, B. ; Schuss, Z. ; Singer, A.
arXiv, 0501004 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-01-02
Classification:  Mathematical Physics,  82C31,  60H35,  65C35 
@article{0501004,
     author = {Nadler, B. and Schuss, Z. and Singer, A.},
     title = {Langevin Trajectories between Fixed Concentrations},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0501004}
}

Nadler, B.; Schuss, Z.; Singer, A. Langevin Trajectories between Fixed Concentrations. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0501004/