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arXiv · 1702.05071

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

Fabio Deelan Cunden·Paolo Facchi·Marilena Ligabò·Pierpaolo Vivo
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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.

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Fabio Deelan Cunden, Paolo Facchi, Marilena Ligabò, Pierpaolo Vivo. 2017-02-16. Universality of the third-order phase transition in the constrained Coulomb gas. https://doi.org/10.1088/1742-5468/aa690c

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