Large-scale behavior of three-dimensional continuous phase coexistence models
File(s)Phi^4_3.pdf (577.51 KB)
Accepted version
Author(s)
Hairer, Martin
Xu, Weijun
Type
Journal Article
Abstract
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 Φp₃ models for p ∊ {2,3,4}. This result is specific to space dimension 3 and does not hold in dimension 2.
Date Issued
2018-01-25
Date Acceptance
2017-01-01
Citation
Communications on Pure and Applied Mathematics, 2018, 71 (4), pp.688-746
ISSN
0010-3640
Publisher
Wiley
Start Page
688
End Page
746
Journal / Book Title
Communications on Pure and Applied Mathematics
Volume
71
Issue
4
Copyright Statement
© 2018 Wiley Periodicals, Inc. This is the peer reviewed version of the article, which has been published in final form at https://dx.doi.org/10.1002/cpa.21738. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000425381900002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
FIELD-THEORY
DIMENSIONS
Publication Status
Published