"First order correction for the hydrodynamic limit
 of asymmetric simple exclusion processes in dimension d>2."

by C. Landim, S. Olla and H. T. Yau .
 
 ABSTRACT

It is well known that the hydrodynamic limit of 
the asymmetric simple exclusion is governed 
by a viscousless Burgers equation in the Euler scale [R]. 
We prove that, in the same scale, the next order correction 
is given by a viscous Burgers equation up to a 
fixed time T for dimension d greater or equal to 3, 
provided that the corresponding  viscousless Burger equation 
has a smooth solution up to time T. The diffusion coefficient was 
characterized via a variation of Green-Kubo formula by [V, X, EMY]. 
 Within the framework of asymmetric simple exclusion, 
this provides a rigorous verification for the 
interpretation of analogous phenomena that the correction to the 
Euler equation is given by the Navier--Stokes equation 
if the time scale is within the Euler scale. 

 Keywords: Infinite interacting particle systems, 
Navier--Stokes equations, hydrodynamic limit, non-gradient methods.


The whole paper is available as a compressed Postscript file by internet
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in the directory pub/RI/1994 under the name

                    landim_olla_yau_307.nov.ps