On the mean-field spherical model

DOI10.1007/s10955-005-8031-9zbMath1092.82014arXivcond-mat/0503046OpenAlexW1976195808MaRDI QIDQ2494489

Oliver Schnetz, Michael Kastner

Publication date: 28 June 2006

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0503046

zbMATH Keywords

phase transitionsspherical model\(\sigma\)-modelcanonicalensemble nonequivalencemicrocanonicaltopological approachFisher zeros of partial function

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (10)

The geometric theory of phase transitions ⋮ Extended Gaussian ensemble solution and tricritical points of a system with long-range interactions ⋮ Estimation of local microcanonical averages in two lattice mean-field models using coupling techniques ⋮ Infinite volume Gibbs states and metastates of the random field mean-field spherical model ⋮ Multipopulation spin models: a view from large deviations theoretic window ⋮ Supersymmetric quantum spherical spins ⋮ Quantum phase transitions without thermodynamic limits ⋮ Phase transitions and configuration space topology ⋮ Necessary and sufficient conditions for ${\mathbb{Z}}_{2}$-symmetry-breaking phase transitions ⋮ Topological theory of phase transitions

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