First- and second-order phase transitions of infinite-state Potts models in one dimension
- 1 November 1980
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 13 (11) , L413-L418
- https://doi.org/10.1088/0305-4470/13/11/007
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.Keywords
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