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

Associate Professorship of Probability Theory

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Article number	16
Journal	Journal of Statistical Physics
Volume	186
Issue number	1
DOIs	https://doi.org/10.1007/s10955-021-02857-4
State	Published - Jan 2022

Keywords

Lattice Coulomb gas
Poisson summation
Spontaneous symmetry breaking

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10.1007/s10955-021-02857-4

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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.",

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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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Variance of Voltages in a Lattice Coulomb Gas

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