 02190 Roberto H. Schonmann
 Einstein relation for a class of interface models
(319K, ps)
Apr 18, 02

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. A class of SOS interface models which can be seen as simplified
stochastic Ising model interfaces is studied.
In the absence of an external field the longtime fluctuations
of the interface are shown to behave as Brownian motion with
diffusion coefficient $(\sigma^{\text{GK}})^2$ given by a GreenKubo
formula.
When a small external field $h$ is applied, it is shown that
the shape of the interface converges exponentially fast to a stationary
distribution and the interface moves with an asymptotic velocity $v(h)$.
The mobility is shown to exist and to satisfy the
Einstein relation: $(dv/dh)(0) = \beta (\sigma^{\text{GK}})^2$,
where $\beta$ is the inverse temperature.
 Files:
02190.src(
02190.comments ,
02190.keywords ,
er.ps )