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
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.