Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Phase Transitions in Ferromagnetic Ising Models with Spatially Dependent Magnetic Fields

Full text
Author(s):
Bissacot, Rodrigo [1] ; Cassandro, Marzio [2] ; Cioletti, Leandro [3] ; Presutti, Errico [2]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Dept Appl Math, Inst Math & Stat IME USP, Sao Paulo - Brazil
[2] GSSI, I-00167 Laquila - Italy
[3] Univ Brasilia, Dept Math, BR-70910900 Brasilia, DF - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Communications in Mathematical Physics; v. 337, n. 1, p. 41-53, JUL 2015.
Web of Science Citations: 5
Abstract

In this paper we study the nearest neighbor Ising model with ferromagnetic interactions in the presence of a space dependent magnetic field that vanishes as vertical bar x vertical bar(-alpha), alpha > 0, as vertical bar x vertical bar -> infinity. We prove that in dimensions d >= 2 for all beta large enough, if alpha > 1 there is a phase transition, while if alpha < 1 there is a unique DLR state. (AU)

FAPESP's process: 11/22423-5 - Two-dimensional models in statistical mechanics and a possible approach using ergodic optimization
Grantee:Rodrigo Bissacot Proença
Support Opportunities: Regular Research Grants