Premium
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom