Critical behaviour of the random-field Ising model with long-range interactions in one dimension

DOI10.1088/1742-5468/2014/10/P10017zbMath1456.82088arXiv1407.4891OpenAlexW3101813444MaRDI QIDQ3301748

M. Tissier, Ivan Balog, Gilles Tarjus

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.4891

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (5)

Criticality of spin systems with weak long-range interactions ⋮ Random-field Ising and \(O(N)\) models: theoretical description through the functional renormalization group ⋮ The nonperturbative functional renormalization group and its applications ⋮ Avalanches and perturbation theory in the random-field Ising model ⋮ The Schwartz–Soffer and more inequalities for random fields

Cites Work

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• Phase transition in the 1d random field Ising model with long range interaction
• Non-perturbative renormalization flow in quantum field theory and statistical physics
• Critical exponents from optimised renormalisation group flows
• Aspects of the functional renormalisation group
• Random field Ising model: statistical properties of low-energy excitations and equilibrium avalanches
• Fixed points and their stability in the functional renormalization group of random field models

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