The 2D-Ising model near criticality: a FK-percolation analysis

We study the 2D-Ising model defined on finite boxes at temperatures that are below but very close from the critical point. When the temperature approaches the critical point and the size of the box grows fast enough, we establish large deviations estimates on FK-percolation events that concern the p...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Probability theory and related fields 2011-06, Vol.150 (1-2), p.193-217
Hauptverfasser:	Cerf, R., Messikh, R. J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Boxes Critical point Deviation Economics Estimates Exact sciences and technology Finance General topics Insurance Ising model Limit theorems Management Mathematical analysis Mathematical and Computational Biology Mathematical and Computational Physics Mathematics Mathematics and Statistics Operations Research/Decision Theory Percolation Probability Probability and statistics Probability theory Probability Theory and Stochastic Processes Quantitative Finance Sciences and techniques of general use Special processes (renewal theory, markov renewal processes, semi-markov processes, statistical mechanics type models, applications) Statistics for Business Studies Temperature Theoretical Two dimensional analysis Two dimensional models
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We study the 2D-Ising model defined on finite boxes at temperatures that are below but very close from the critical point. When the temperature approaches the critical point and the size of the box grows fast enough, we establish large deviations estimates on FK-percolation events that concern the phenomenon of phase coexistence.
ISSN:	0178-8051 1432-2064
DOI:	10.1007/s00440-010-0272-0