MACROSCOPIC PROPERTIES OF A STATIONARY NON-EQUILIBRIUM DISTRIBUTION FOR 
A NON-GRADIENT INTERACTING PARTICLE SYSTEM.

                            by
                            
                            Claude Kipnis
                            
                            Claudio Landim
                            
                            Stefano Olla



We consider a one dimensional generalized symmetric simple exclusion process 
where are permitted at most two particles per site.
The system is open and at the boundary a stochastic dynamics is chosen
to model two infinite reservoirs of particles
with different densities. This simple model is non gradient.
We prove that in the stationary state the particles empirical density 
field converges to the deterministic solution of a non linear elliptic 
equation as the microscopic size of the system goes to infinity.
Fick's law of transport for the expected value of the current in the
stationary state is also proven.


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