Abstract
We consider the asymmetric exclusion process. We start from a profile which is constant along the drift direction and prove that the density profile, under a diffusive rescaling of time, converges to the solution of a parabolic equation.
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Communicated by H. Spohn
Dedicated to József Fritz on his sixtieth birthday
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Landim, C., Sued, M. & Valle, G. Hydrodynamic Limit of Asymmetric Exclusion Processes Under Diffusive Scaling in d≥3. Commun. Math. Phys. 249, 215–247 (2004). https://doi.org/10.1007/s00220-004-1076-9
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DOI: https://doi.org/10.1007/s00220-004-1076-9