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• W2963072783 abstract "We consider the hydrodynamic scaling behavior of the mass density with respect to a general class of mass conservative interacting particle systems on $mathbb{Z} ^n$, where the jump rates are asymmetric and long-range of order $|x|^{-(n+alpha )}$ for a particle displacement of order $|x|$. Two types of evolution equations are identified depending on the strength of the long-range asymmetry. When $0<alpha <1$, we find a new integro-partial differential hydrodynamic equation, in an anomalous space-time scale. On the other hand, when $alpha geq 1$, we derive a Burgers hydrodynamic equation, as in the finite-range setting, in Euler scale." @default.
• W2963072783 created "2019-07-30" @default.
• W2963072783 creator A5029944356 @default.
• W2963072783 creator A5070645286 @default.
• W2963072783 date "2018-01-01" @default.
• W2963072783 modified "2023-09-25" @default.
• W2963072783 title "Hydrodynamic limits for long-range asymmetric interacting particle systems" @default.
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• W2963072783 doi "https://doi.org/10.1214/18-ejp237" @default.
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