Cancrini N, Cesi F, Roberto C
Diffusive long-time behavior of Kawasaki dynamics
(413K, PS)

ABSTRACT.  If $P_t$ is the semigroup associated with
the Kawasaki dynamics on $\Z^d$ and $f$ is a  local function
on the configuration space, then the variance with
respect to the invariant measure $\mu$ of $P_t f$ goes to zero
as $t\to\oo$ faster than $t^{-d/2+\e}$, with $\e$ arbitrarily
small. The fundamental assumption is a mixing condition on the
interaction of Dobrushin and Schlosman type.