2D BROWNIAN-MOTION IN A SYSTEM OF REFLECTING BARRIERS - EFFECTIVE DIFFUSIVITY BY A SAMPLING METHOD

Authors
BURDZY K HOLYST R INGERMAN D
Citation
K. Burdzy et al., 2D BROWNIAN-MOTION IN A SYSTEM OF REFLECTING BARRIERS - EFFECTIVE DIFFUSIVITY BY A SAMPLING METHOD, Journal of physics. A, mathematical and general, 27(3), 1994, pp. 631-644
Citations number
22
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
3
Year of publication
1994
Pages
631 - 644
Database
ISI
SICI code
0305-4470(1994)27:3<631:2BIASO>2.0.ZU;2-#
Abstract
We study two-dimensional Brownian motion in an ordered periodic system of linear reflecting barriers using the sampling method and conformal transformations. We calculate the effective diffusivity for the Brown ian particle. When the periods are fixed but the length of the barrier goes to zero, the effective diffusivity in the direction perpendicula r to the barriers differs from the standard one by a term of order eps ilon2 where epsilon is the length of a barrier.