Statistical mechanics of two-dimensional coulomb systems

John W. Perram and Simon W. de Leeuw

Physica A: Statistical Mechanics and its Applications, 1981, vol. 109, issue 1, 237-250

Abstract: The statistical mechanics of systems acting via two-dimensional charge-charge and dipole-dipole interactions is studied in periodic boundary conditions. The two-dimensional lattice theta-function transformation is obtained and the sum shown to contain a polarization correction to the Ewald sum, analogous to that found in three dimensions. Using a different approach, these sums are evaluated in closed form, for bodies of arbitrary shape. The methodology for the computer simulation of two dimensional dielectrics is discussed and the two-dimensional analogue of a generalized Kirkwood-Clausius-Mosotti-Debye formula derived.

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:109:y:1981:i:1:p:237-250

DOI: 10.1016/0378-4371(81)90047-9

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