Universality of the third-order phase transition in the constrained Coulomb gas

Fabio Cunden, Paolo Facchi, Marilena Ligabò, Pierpaolo Vivo

Research output: Contribution to journalArticle (Academic Journal)peer-review

18 Citations (Scopus)
276 Downloads (Pure)

Abstract

The free energy at zero temperature of Coulomb gas systems in generic dimension is considered as a function of a volume constraint. The transition between the 'pulled' and the 'pushed' phases is characterised as a third-order phase transition, in all dimensions and for a rather large class of isotropic potentials. This suggests that the critical behaviour of the free energy at the 'pulled-to-pushed' transition may be universal, i.e., to some extent independent of the dimension and the details of the pairwise interaction.
Original languageEnglish
Article number053303
Number of pages19
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2017
Issue number5
Early online date15 May 2017
DOIs
Publication statusPublished - 15 May 2017

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