Potts models with a defect line
| Autor: | Yvan Velenik, Sébastien Ott |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Ornstein-Zernike asymptotics
FOS: Physical sciences 01 natural sciences Condensed Matter::Disordered Systems and Neural Networks FK percolation 010104 statistics & probability Bernoulli's principle Mathematics::Probability Ising model FOS: Mathematics Potts model Inverse correlation length 0101 mathematics ddc:510 Mathematical Physics Condensed Matter - Statistical Mechanics Line (formation) Mathematical physics Physics Coupling constant Random-cluster model Statistical Mechanics (cond-mat.stat-mech) 010102 general mathematics Probability (math.PR) Statistical and Nonlinear Physics Mathematical Physics (math-ph) Interface Ferromagnetism Pinning Percolation Localization Coupling constants Condensed Matter::Statistical Mechanics Coarse-graining Mathematics - Probability |
| Zdroj: | Communications in Mathematical Physics, Vol. 362, No 1 (2018) pp. 55-106 |
| ISSN: | 1432-0916 |
| DOI: | 10.48550/arxiv.1706.09130 |
| Popis: | We provide a detailed analysis of the correlation length in the direction parallel to a line of modified coupling constants in the ferromagnetic Potts model on $\mathbb{Z}^d$ at temperatures $T>T_c$. We also describe how a line of weakened bonds pins the interface of the Potts model on $\mathbb{Z}^2$ below its critical temperature. These results are obtained by extending the analysis by Friedli, Ioffe and Velenik from Bernoulli percolation to FK-percolation of arbitrary parameter $q>1$. Final version, as accepted for publication in Communications in Mathematical Physics. (Includes a few improvements in the presentation compared with the previous version.) |
| Databáze: | OpenAIRE |
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