Continuous- and discrete-time Glauber dynamics. First- and second-order phase transitions in mean-field Potts models

M. Ostilli, F. Mukhamedov

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

As is known, at the Gibbs-Boltzmann equilibrium, the mean-field q-state Potts model with a ferromagnetic coupling has only a first-order phase transition when q 3, while there is no phase transition for an antiferromagnetic coupling. The same equilibrium is asymptotically reached when one considers the continuous time evolution according to a Glauber dynamics. In this paper we show that, when we consider instead the Potts model evolving according to a discrete-time dynamics, the Gibbs-Boltzmann equilibrium is reached only when the coupling is ferromagnetic while, when the coupling is anti-ferromagnetic, a period-2 orbit equilibrium is reached and a stable second-order phase transition in the Ising mean-field universality class sets in for each component of the orbit. We discuss the implications of this scenario in real-world problems.

Original languageEnglish
Article number60008
JournalEPL
Volume101
Issue number6
DOIs
Publication statusPublished - Mar 2013
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy

Fingerprint

Dive into the research topics of 'Continuous- and discrete-time Glauber dynamics. First- and second-order phase transitions in mean-field Potts models'. Together they form a unique fingerprint.

Cite this