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

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Pierpaolo Vivo, Paolo Facchi, Fabio Deelan Cunden, Marilena Ligabo'

Original languageEnglish
Article number053303
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number5
Published15 May 2017


King's Authors


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.

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