Variance of Voltages in a Lattice Coulomb Gas
JOURNAL OF STATISTICAL PHYSICS(2021)
摘要
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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关键词
Spontaneous symmetry breaking, Poisson summation, Lattice Coulomb gas
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