 93211 Esposito R., Marra R., YAU H. T.
 Diffusive limit of asymmetric simple exclusion
(104K, Latex/documentstyle_article)
Jul 30, 93

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

Abstract. We consider the asymmetric simple exclusion process on the lattice
${\cal Z}^d\cap T^d$ with periodic b.c.
for $d\ge 3$, in the diffusive spacetime scaling with parameter $\e$.
Assume the
initial state is a product of Bernoulli measures with density of order
$\e$, up to a fixed reference constant density $\theta$. We prove that the
density at time $t$ is given to first order by $\theta  \e
m(x\e^{1}vt,t)$ with $v$ a uniform velocity depending on $\theta$ and
the dynamics and $m(z,t)$ satisfies the $d$dimensional viscous Burgers
equation. The diffusion matrix is given by a variational formula related to
the GreenKubo formula and it is strictly bigger than the diffusion matrix
for the corresponding symmetric exclusion process.
 Files:
93211.tex