A class of nonlinear Ginzburg-Landau SPDEs on the full line is shown to rescale to the KPZ equation via the stochastic heat equation, for non-equilibrium initial data.
Fluctuations of one-dimensional Ginzburg-Landau models in nonequilibrium
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KPZ equation from a class of nonlinear SPDEs in infinite volume
A class of nonlinear Ginzburg-Landau SPDEs on the full line is shown to rescale to the KPZ equation via the stochastic heat equation, for non-equilibrium initial data.