Emergence of Concentration Effects in the Variational Analysis of the N ‐Clock Model-Reference-Cited by-同舟云学术

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Emergence of Concentration Effects in the Variational Analysis of the N ‐Clock Model

Published:2021-12-22 Issue: Volume: Page:
ISSN:0010-3640
Container-title:Communications on Pure and Applied Mathematics
language:en
Short-container-title:Comm Pure Appl Math

Author:

Cicalese Marco¹,Orlando Gianluca²,Ruf Matthias³

Affiliation:

1. Technische Universität München Zentrum Mathematik Boltzmannstr. 3 85748 Garching bei München Germany

2. Politecnico di Bari Dipartimento di Meccanica, Matematica e Management via E. Orabona 4 70125 Bari BA Italy

3. Ecole polytechnique fédérale de Lausanne SB MATH Station 8 1015 Lausanne Switzerland

Publisher

Wiley

Subject

Applied Mathematics,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/cpa.22033

Reference50 articles.

1. Variational convergence for functionals of Ginzburg‐Landau type;Alberti G.;Indiana Univ. Math. J.,2005

2. Surface tension in Ising systems with Kac potentials

3. Phase and anti‐phase boundaries in binary discrete systems: a variational viewpoint;Alicandro R.;Netw. Heterog. Media,2006

4. Variational analysis of the asymptotics of the XY model;Alicandro R.;Arch. Ration. Mech. Anal.,2009

5. Variational equivalence between Ginzburg-Landau, XY spin systems and screw dislocations energies

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1. A classical S2 spin system with discrete out-of-plane anisotropy: Variational analysis at surface and vortex scalings;Nonlinear Analysis;2023-06

2. Variational analysis in one and two dimensions of a frustrated spin system: chirality and magnetic anisotropy transitions;Mathematics in Engineering;2023

3. The N-Clock Model: Variational Analysis for Fast and Slow Divergence Rates of N;Archive for Rational Mechanics and Analysis;2022-06-27

4. Variational Analysis of the $$J_1$$–$$J_2$$–$$J_3$$ Model: A Non-linear Lattice Version of the Aviles–Giga Functional;Archive for Rational Mechanics and Analysis;2022-06-24

5. The antiferromagnetic xy model on the triangular lattice: topological singularities;Indiana University Mathematics Journal;2022

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