Universality of the weak pushed-to-pulled transition in systems with repulsive interactions

We consider a d-dimensional gas in canonical equilibrium under pairwise screened Coulomb repulsion and external confinement, and subject to a volume constraint (hard walls). We show that its excess free energy displays a third-order singularity separating the pushed and pulled phases, irrespective o...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 51; no. 35; pp. 35 - 45
Main Authors Cunden, Fabio Deelan, Facchi, Paolo, Ligabò, Marilena, Vivo, Pierpaolo
Format Journal Article
LanguageEnglish
Published IOP Publishing 31.08.2018
Subjects
classical phase transitions
large deviation theory
potential theory
random matrices
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Summary:We consider a d-dimensional gas in canonical equilibrium under pairwise screened Coulomb repulsion and external confinement, and subject to a volume constraint (hard walls). We show that its excess free energy displays a third-order singularity separating the pushed and pulled phases, irrespective of range of the pairwise interaction, dimension and details of the confining potential. The explicit expression of the excess free energy is universal and interpolates between the Coulomb (long-range) and the delta (zero-range) interaction. The order parameter of the transition-the electrostatic pressure generated by the surface excess charge-is determined by invoking a fundamental energy conservation argument.
Bibliography:JPhysA-110155
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/aad147