Variance of Voltages in a Lattice Coulomb Gas

Diana Conache; Markus Heydenreich; Franz Merkl; Silke W.W. Rolles

doi:10.1007/s10955-021-02857-4

Variance of Voltages in a Lattice Coulomb Gas

Diana Conache, Markus Heydenreich, Franz Merkl, Silke W.W. Rolles

Professur für Wahrscheinlichkeitstheorie

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

1 Zitat (Scopus)

Abstract

We study the behavior of the variance of the difference of energies for putting an additional electric unit charge at two different locations in the two-dimensional lattice Coulomb gas in the high-temperature regime. For this, we exploit the duality between this model and a discrete Gaussian model. Our estimates follow from a spontaneous symmetry breaking in the latter model.

Originalsprache	Englisch
Aufsatznummer	16
Fachzeitschrift	Journal of Statistical Physics
Jahrgang	186
Ausgabenummer	1
DOIs	https://doi.org/10.1007/s10955-021-02857-4
Publikationsstatus	Veröffentlicht - Jan. 2022

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title = "Variance of Voltages in a Lattice Coulomb Gas",

abstract = "We study the behavior of the variance of the difference of energies for putting an additional electric unit charge at two different locations in the two-dimensional lattice Coulomb gas in the high-temperature regime. For this, we exploit the duality between this model and a discrete Gaussian model. Our estimates follow from a spontaneous symmetry breaking in the latter model.",

keywords = "Lattice Coulomb gas, Poisson summation, Spontaneous symmetry breaking",

author = "Diana Conache and Markus Heydenreich and Franz Merkl and Rolles, {Silke W.W.}",

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AU - Merkl, Franz

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AB - We study the behavior of the variance of the difference of energies for putting an additional electric unit charge at two different locations in the two-dimensional lattice Coulomb gas in the high-temperature regime. For this, we exploit the duality between this model and a discrete Gaussian model. Our estimates follow from a spontaneous symmetry breaking in the latter model.

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KW - Poisson summation

KW - Spontaneous symmetry breaking

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Variance of Voltages in a Lattice Coulomb Gas

Abstract

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