Hydrodynamical limit for the symmetric zero-range process
In Ann. Probab. 15, 546-560 (1987; Zbl 0623.60120), we proved a strong law of large numbers for the rescaled asymmetric nearest neighbor simple exclusion process. The method is based on the properties of the limiting first order nonlinear partial differential equation. In this article we show that the same method applies to the asymmetric zero-range process, the limiting equation being of the same type. An improvement of our paper cited above enables us to remove the nearest neighbor assumption. We obtained the local equilibrium as an easy consequence.
scientific article; zbMATH DE number 4054708