Weak universality of dynamical $$\Phi ^4_3$$: Non-Gaussian noise

Weak universality of dynamical $$\Phi ^4_3$$: Non-Gaussian noise

We consider a class of continuous phase coexistence models in three spatial dimensions. The fluctuations are driven by symmetric stationary random fields with sufficient integrability and mixing conditions, but not necessarily Gaussian.We show that, in the weakly nonlinear regime, if the external po...

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Detalles Bibliográficos
Autores principales: Shen, H, Xu, W
Formato: Journal article
Lenguaje:English
Publicado: Springer 2017
Descripción
Sumario:We consider a class of continuous phase coexistence models in three spatial dimensions. The fluctuations are driven by symmetric stationary random fields with sufficient integrability and mixing conditions, but not necessarily Gaussian.We show that, in the weakly nonlinear regime, if the external potential is a symmetric polynomial and a certain average of it exhibits pitchfork bifurcation, then these models all rescale to $$\Phi ^4_3$$ near their critical point.

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