Phase transitions in one dimension and less

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dc.creatorFendley, Paul
dc.creatorTchernyshyov, Oleg
dc.date2002-02-08
dc.date.accessioned2026-07-07T02:44:21Z
dc.date.available2026-07-07T02:44:21Z
dc.descriptionPhase transitions can occur in one-dimensional classical statistical mechanics at non-zero temperature when the number of components N of the spin is infinite. We show how to solve such magnets in one dimension for any N, and how the phase transition develops at N = infinity. We discuss SU(N) and Sp(N) magnets, where the transition is second-order. In the new high-temperature phase, the correlation length is zero. We also show that for the SU(N) magnet on exactly three sites with periodic boundary conditions, the transition becomes first order.
dc.description16 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0202129
dc.identifierhttp://arxiv.org/abs/cond-mat/0202129
dc.identifierNucl.Phys. B639 (2002) 411-428
dc.identifierdoi:10.1016/S0550-3213(02)00481-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18889
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titlePhase transitions in one dimension and less
dc.typetext

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