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arXiv 2103.11985math.PRmath-phmath.MP
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格点库仑气体中的电压方差

Variance of voltages in a lattice Coulomb gas

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

摘要:

本文研究了高温下二维格点库仑气体中在两个不同位置加一个单位电荷时能量差的变化规律。为此,我们利用这个模型和离散高斯模型之间的对偶性。我们的估计是从后一个模型中的自发对称性破缺而来的。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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