Publication

The Scaling Limit Of Critical Ising Interfaces Is Cle3

Clément Hongler
2019
Journal Articles

Résumé

In this paper, we consider the set of interfaces between + and - spins arising for the critical planar Ising model on a domain with + boundary conditions, and show that it converges to nested CLE3.

Source officielle

https://infoscience.epfl.ch/entities/publication/bf6daff5-4aaf-4e89-8cdf-b309e12e5802

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Clément Hongler
2019
Journal Articles

Résumé

In this paper, we consider the set of interfaces between + and - spins arising for the critical planar Ising model on a domain with + boundary conditions, and show that it converges to nested CLE3.

Source officielle

https://infoscience.epfl.ch/entities/publication/bf6daff5-4aaf-4e89-8cdf-b309e12e5802

À propos de ce résultat

Concepts associés (26)

Modèle d'Ising

Le modèle d'Ising est un modèle de physique statistique qui a été adapté à divers phénomènes caractérisés par des interactions locales de particules à deux états. L'exemple principal est le ferromagnétisme pour lequel le modèle d'Ising est un modèle sur réseau de moments magnétiques, dans lequel les particules sont toujours orientées suivant le même axe spatial et ne peuvent prendre que deux valeurs. Ce modèle est parfois appelé modèle de Lenz-Ising en référence aux physiciens Wilhelm Lenz et Ernst Ising.

Random cluster model

In statistical mechanics, probability theory, graph theory, etc. the random cluster model is a random graph that generalizes and unifies the Ising model, Potts model, and percolation model. It is used to study random combinatorial structures, electrical networks, etc. It is also referred to as the RC model or sometimes the FK representation after its founders Cees Fortuin and Piet Kasteleyn. Let be a graph, and be a bond configuration on the graph that maps each edge to a value of either 0 or 1.

Potts model

In statistical mechanics, the Potts model, a generalization of the Ising model, is a model of interacting spins on a crystalline lattice. By studying the Potts model, one may gain insight into the behaviour of ferromagnets and certain other phenomena of solid-state physics. The strength of the Potts model is not so much that it models these physical systems well; it is rather that the one-dimensional case is exactly solvable, and that it has a rich mathematical formulation that has been studied extensively.

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Publications associées (31)

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We study the global well-posedness and asymptotic behavior for a semilinear damped wave equation with Neumann boundary conditions, modeling a one-dimensional linearly elastic body interacting with a rigid substrate through an adhesive material. The key fea ...

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An interior penalty coupling strategy for isogeometric non-conformal Kirchhoff-Love shell patches

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This work focuses on the coupling of trimmed shell patches using Isogeometric Analysis, based on higher continuity splines that seamlessly meet the

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Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps

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Publications associées (31)

Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings

Nicola De Nitti

World Scientific Publ Co Pte Ltd2024

An interior penalty coupling strategy for isogeometric non-conformal Kirchhoff-Love shell patches

Annalisa Buffa, Pablo Antolin Sanchez, Giuliano Guarino

This work focuses on the coupling of trimmed shell patches using Isogeometric Analysis, based on higher continuity splines that seamlessly meet the

C^1

requirement of Kirchhoff-Love-based discretizations. Weak enforcement of coupling conditions is achiev ...

Springer2024

Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps

Jan Sickmann Hesthaven, Niccolo' Discacciati

Elsevier Science Sa2024

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