TRANSPORT-PROPERTIES OF A 2-DIMENSIONAL CHIRAL PERSISTENT RANDOM-WALK

Authors
Citation
M. Larralde, TRANSPORT-PROPERTIES OF A 2-DIMENSIONAL CHIRAL PERSISTENT RANDOM-WALK, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(5), 1997, pp. 5004-5008
Citations number
7
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
56
Issue
5
Year of publication
1997
Part
A
Pages
5004 - 5008
Database
ISI
SICI code
1063-651X(1997)56:5<5004:TOA2CP>2.0.ZU;2-I
Abstract
The usual two-dimensional persistent random walk is generalized by int roducing a clockwise (or counterclockwise) angular bias at each new st ep direction. This bias breaks the reflection symmetry of the problem, giving the walker a tendency to ''loop,'' and gives rise to unusual t ransport properties. In particular, there is a resonantlike enhancemen t of the diffusion constant as the parameters of the system are change d. Also, in response to an external field, the looping tendency can re sist or enhance the drift along the field and gives rise to a drift tr ansverse to the field. These results are obtained analytically, and, f or completeness, compared with Monte Carlo simulations of the walk.