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

Fabio Cunden; Paolo Facchi; Marilena Ligabò; Pierpaolo Vivo

doi:10.1088/1742-5468/aa690c

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

Fabio Cunden
, Paolo Facchi
, Marilena Ligabò
, Pierpaolo Vivo

Research output: Contribution to journal › Article (Academic Journal) › peer-review

34 Citations (Scopus)

325 Downloads (Pure)

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.

Original language	English
Article number	053303
Number of pages	19
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2017
Issue number	5
Early online date	15 May 2017
DOIs	https://doi.org/10.1088/1742-5468/aa690c
Publication status	Published - 15 May 2017

Access to Document

10.1088/1742-5468/aa690c

Full-text PDF (final published version)
This is the final published version of the article (version of record). It first appeared online via IoP at https://doi.org/10.1088/1742-5468/aa690c. Please refer to any applicable terms of use of the publisher.
Final published version, 0.99 MBLicence: CC BY

Handle.net

Persistent link

Cite this

@article{0e801a6c647c46a0bedc7305fb4aa7f3,

title = "Universality of the third-order phase transition in the constrained Coulomb gas",

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.",

author = "Fabio Cunden and Paolo Facchi and Marilena Ligab{\`o} and Pierpaolo Vivo",

year = "2017",

month = may,

day = "15",

doi = "10.1088/1742-5468/aa690c",

language = "English",

volume = "2017",

journal = "Journal of Statistical Mechanics: Theory and Experiment",

issn = "1742-5468",

publisher = "Institute of Physics Publishing",

number = "5",

}

TY - JOUR

T1 - Universality of the third-order phase transition in the constrained Coulomb gas

AU - Cunden, Fabio

AU - Facchi, Paolo

AU - Ligabò, Marilena

AU - Vivo, Pierpaolo

PY - 2017/5/15

Y1 - 2017/5/15

N2 - 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.

AB - 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.

UR - https://arxiv.org/abs/1702.05071

U2 - 10.1088/1742-5468/aa690c

DO - 10.1088/1742-5468/aa690c

M3 - Article (Academic Journal)

SN - 1742-5468

VL - 2017

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

IS - 5

M1 - 053303

ER -

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

Abstract

Access to Document

Handle.net

Other files and links

Fingerprint

Wegner estimates and universality for non-Hermitian matrices

Cite this

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

Abstract

Access to Document

Handle.net

Other files and links

Fingerprint

Projects

Wegner estimates and universality for non-Hermitian matrices

Cite this