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