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Derivation of coupled KPZ-Burgers equation from multi-species zero-range processes | | Cedric Bernardin
; Tadahisa Funaki
; Sunder Sethuraman
; | | Date: |
21 Aug 2019 | | 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. | | Source: | arXiv, 1908.7863 | | Services: | Forum | Review | PDF | Favorites | |
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