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Large‐Scale Behavior of Three‐Dimensional Continuous Phase Coexistence Models
Author(s) -
Hairer Martin,
Xu Weijun
Publication year - 2018
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.21738
Subject(s) - mathematics , dimension (graph theory) , scale (ratio) , symmetry (geometry) , bifurcation , statistical physics , class (philosophy) , point (geometry) , phase space , bifurcation theory , pure mathematics , geometry , computer science , nonlinear system , physics , artificial intelligence , quantum mechanics , thermodynamics
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 dynamicalΦ 3 pmodels for p ∊ {2,3,4}. This result is specific to space dimension 3 and does not hold in dimension 2. © 2018 Wiley Periodicals, Inc.