Large-scale behavior of three-dimensional continuous phase coexistence models

We study a class of three-dimensional continuous phase coexistence models, and show that, under different symmetry assumptions on the potential, the large-scale behavior of such models near a bifurcation point is described by the dynamical Φ3pmodels for p ∊ {2,3,4}. This result is specific to space...

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Detalles Bibliográficos
Autores principales: Hairer, M, Xu, W
Formato: Journal article
Publicado: Wiley 2018
Descripción
Sumario:We study a class of three-dimensional continuous phase coexistence models, and show that, under different symmetry assumptions on the potential, the large-scale behavior of such models near a bifurcation point is described by the dynamical Φ3pmodels for p ∊ {2,3,4}. This result is specific to space dimension 3 and does not hold in dimension 2. © 2018 Wiley Periodicals, Inc.