Canonical solution of classical magnetic models with long-range couplings

DOI10.1088/0305-4470/36/25/301zbMath1049.82005arXivcond-mat/0206173OpenAlexW2094256573MaRDI QIDQ4467940

Andrea Giansanti, Alessandro Campa, Daniele Moroni

Publication date: 10 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0206173

Mathematics Subject Classification ID

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

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Ising chains with competing interactions in the presence of long-range couplings ⋮ Mean-field theory is exact for Ising spin glass models with Kac potential in non-additive limit on Nishimori line ⋮ Lattice gas models with long range interactions ⋮ Microcanonical analysis of exactness of the mean-field theory in long-range interacting systems ⋮ Density of states of continuous and discrete spin models: a case study ⋮ Critical energy density ofO(n) models ind= 3 ⋮ Kuramoto model of synchronization: equilibrium and nonequilibrium aspects ⋮ Influence of the interaction range on the thermostatistics of a classical many-body system

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