Abstract
Hydrodynamic properties for a class of nondiffusive particle systems are investigated. The method allows one to study local equilibria for a class of asymmetric zero-range processes, and applies as well to other models, such as asymmetric simple exclusion and “misanthropes.” Attractiveness is an essential ingredient. The hydrodynamic equations present shock wave phenomena. Preservation of local equilibrium is proven to hold away from the shocks. The problem of breakdown of local ergodicity at the shocks, which was investigated by D. Wick in a particular model, remains open in this more general setup.
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Andjel, E.D., Vares, M.E. Hydrodynamic equations for attractive particle systems on ℤ. J Stat Phys 47, 265–288 (1987). https://doi.org/10.1007/BF01009046
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DOI: https://doi.org/10.1007/BF01009046