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Conache, Diana; Heydenreich, Markus; Merkl, Franz und Rolles, Silke W. W. (2022): Variance of Voltages in a Lattice Coulomb Gas. In: Journal of Statistical Physics, Bd. 186, Nr. 1, 16

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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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