Phase Transitions in Spin Models with General External Fields

• Grant number: 15/14434-8
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: October 07, 2015
• End date: October 06, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Rodrigo Bissacot Proença
• Grantee: Eric Ossami Endo
• Supervisor: Aernout Coert Daniel Van Enter
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: University of Groningen, Netherlands
• Associated to the scholarship: 14/10637-9 - Combinatorial Problems in Ferromagnetic Models, BP.DR

Abstract

The main goal of the project is to continue previous studies and try to understand the problem of the Phase Transition in ferromagnetic Ising Models type when we consider a non-null and deterministic external field. In particular try to obtain results about unicity in the case of ferromagnetic Ising Models when the field decays to zero at infinity.

Scientific publications

(6)

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

BISSACOT, RODRIGO; ENDO, ERIC O.; VAN ENTER, AERNOUT C. D.; KIMURA, BRUNO; RUSZEL, WIOLETTA M.. Contour Methods for Long-Range Ising Models: Weakening Nearest-Neighbor Interactions and Adding Decaying Fields. ANNALES HENRI POINCARE, v. 19, n. 8, p. 2557-2574, AUG 2018. (16/08518-7, 15/14434-8, 16/25053-8, 14/10637-9)

ALON, NOGA; BISSACOT, RODRIGO; ENDO, ERIC OSSAMI. Counting contours on trees. LETTERS IN MATHEMATICAL PHYSICS, v. 107, n. 5, p. 887-899, MAY 2017. (11/16265-8, 14/10637-9, 16/08518-7, 15/14434-8)

ENDO, ERIC O.; VALESIN, DANIEL. Local limits of spatial Gibbs random graphs. ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, v. 17, n. 1, p. 51-63, 2020. (15/14434-8, 14/10637-9)

BISSACOT, RODRIGO; ENDO, ERIC O.; VAN ENTER, AERNOUT C. D.; LE NY, ARNAUD. Entropic Repulsion and Lack of the g-Measure Property for Dyson Models. Communications in Mathematical Physics, v. 363, n. 3, p. 767-788, NOV 2018. (15/14434-8, 16/25053-8, 14/10637-9, 16/08518-7, 11/16265-8)

BISSACOT, RODRIGO; ENDO, ERIC OSSAMI; VAN ENTER, AERNOUT C. D.. Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields. Stochastic Processes and their Applications, v. 127, n. 12, p. 4126-4138, DEC 2017. (16/08518-7, 11/16265-8, 15/14434-8, 14/10637-9)

BISSACOT, RODRIGO; ENDO, ERIC O.; VAN ENTER, AERNOUT C. D.; KIMURA, BRUNO; LE NY, ARNAUD; RUSZEL, WIOLETTA M.; SIDORAVICIUS, V. Dyson Models Under Renormalization and in Weak Fields. SOJOURNS IN PROBABILITY THEORY AND STATISTICAL PHYSICS - I: SPIN GLASSES AND STATISTICAL MECHANICS, A FESTSCHRIFT FOR CHARLES M. NEWMAN, v. 298, p. 15-pg., 2019-01-01. (14/10637-9, 11/16265-8, 15/14434-8)