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Article Dans Une Revue The Annals of Applied Probability Année : 2021

DERIVATION OF COUPLED KPZ-BURGERS EQUATION FROM MULTI-SPECIES ZERO-RANGE PROCESSES

Cedric Bernardin
Tadahisa Funaki
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  • PersonId : 1052505
Sunder Sethuraman
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Résumé

We consider the fluctuation fields of multi-species weakly-asymmetric zero-range interacting particle systems in one dimension, where the mass density of each species is conserved. Although such fields have been studied in systems with a single species, the multi-species setting is much less understood. Among other results, we show that, when the system starts from stationary states, with a particular property, the scaling limits of the multi-species fluctuation fields, seen in a characteristic traveling frame, solve a coupled Burgers SPDE, which is a formal spatial gradient of a coupled KPZ equation.
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Dates et versions

hal-02268517 , version 1 (21-08-2019)

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Cedric Bernardin, Tadahisa Funaki, Sunder Sethuraman. DERIVATION OF COUPLED KPZ-BURGERS EQUATION FROM MULTI-SPECIES ZERO-RANGE PROCESSES. The Annals of Applied Probability, 2021, 31 (4), pp.1966-2017. ⟨10.1214/20-AAP1639⟩. ⟨hal-02268517⟩
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