Derivation of coupled KPZ-burgers equation from multi-species zero-range processes

C. Bernardin, T. Funaki, S. Sethuraman

研究成果: Article査読

1 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)1966-2017
ページ数52
ジャーナルAnnals of Applied Probability
31
4
DOI
出版ステータスPublished - 2021 8

ASJC Scopus subject areas

  • 統計学および確率
  • 統計学、確率および不確実性

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