@article{a6221bdb9ec4429b919d441e54b394b4,

title = "Derivation of coupled KPZ-burgers equation from multi-species zero-range processes",

abstract = "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.",

keywords = "Burgers, Coupled, Field, Fluctuation, Interacting, KPZ, Multi-species, Nonlinear fluctuating hydrodynamics, Particle system, Weakly asymmetric, Zero-range",

author = "C. Bernardin and T. Funaki and S. Sethuraman",

note = "Funding Information: Funding. The work of C. Bernardin has been supported by the projects EDNHS ANR-14-CE25-0011, LSD ANR-15-CE40-0020-01 of the French National Research Agency (ANR), and funding from the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovative programme (grant agreement No 715734). T. Fu-naki was supported in part by JSPS KAKENHI, Grant-in-Aid for Scientific Researches (A) 18H03672 and (S) 16H06338. S. Sethuraman was supported by grant ARO W911NF-181-0311, a Simons Foundation Sabbatical grant, and by a Japan Society for the Promotion of Science Fellowship. Publisher Copyright: {\textcopyright} Institute of Mathematical Statistics, 2021",

year = "2021",

month = aug,

doi = "10.1214/20-AAP1639",

language = "English",

volume = "31",

pages = "1966--2017",

journal = "Annals of Applied Probability",

issn = "1050-5164",

publisher = "Institute of Mathematical Statistics",

number = "4",

}