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.
|Number of pages||19|
|Journal||Journal of Statistical Mechanics: Theory and Experiment|
|Early online date||15 May 2017|
|Publication status||Published - 15 May 2017|