We consider the fluctuation fields of multi-species weakly-asymmetric zero-range interacting particle systems in one dimension, where mass density each species is conserved. Although such have been studied with a single species, setting much less understood. Among other results, we show that when system starts from stationary states particular property, scaling limits fields, seen characteristi...

This paper analyzes the stability and convergence of the Fourier pseudospectral method coupled with a variety of specially designed time-stepping methods of up to fourth order, for the numerical solution of a three dimensional viscous Burgers’ equation. There are three main features to this work. The first is a lemma which provides for an L2 and H 1 bound on a nonlinear term of polynomial type,...