Hydrodynamic limits for long-range asymmetric interacting particle systems

2018/02/27 by Sethuraman, Sunder, Shahar, Doron
#60K35 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1802.09674

Abstract

We consider the hydrodynamic scaling behavior of the mass density with respect to a general class of mass conservative interacting particle systems on \mathbb Zⁿ, where the jump rates are asymmetric and long-range of order ‖x‖^-(n+α) for a particle displacement of order ‖x‖. Two types of evolution equations are identified depending on the strength of the long-range asymmetry. When 0

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