Tang, Lei-Han; Kertesz, Janos; Wolf, Dietrich:

Kinetic roughening with power-law waiting time distribution

In: Journal of Physics A, Jg. 24 (1991) ; Nr. 19, S. L1193-L1200
ISSN: 1751-8121
Zeitschriftenaufsatz / Fach: Physik
We introduce a surface growth model where the elementary events are characterized
by a waiting time distribution P(T). Exact relations to directed polymer statistics and
to continuous time random walk problems are established. For P(T) - I/.’“ the behaviour
is similar to that of the Zhang model where rare-event-dominated kinetic roughening occurs
due to a power-law noise in the surface increments. A careful correction to scaling analysis
of our numerical results in 1 + 1 dimensions indicates universality with the Zhang model
for fixed values of p.