First- and second-order phase transitions of infinite-state Potts models in one dimension

A. N. Berker, D. Andelman, A. Aharony

Research output: Contribution to journalArticlepeer-review

Abstract

The q-state, d-dimensional Potts models exhibit a variety of phase-transition behaviour in the limit d to 1+, q to infinity , and l identical to (d-1) in q finite. The regions l<1, 1<l<2, and 2<l are distinguished, respectively, by no transition, second-order transitions (with a new changeover phenomenon at l=ln 4), and first-order transitions. The latter are due to the condensation of effective vacancies. Critical and tricritical exponent values are given.

Original languageEnglish
Article number007
Pages (from-to)L413-L418
JournalJournal of Physics A: Mathematical and General
Volume13
Issue number11
DOIs
StatePublished - 1980
Externally publishedYes

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