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Exact results for some Madelung-type constants in the finite-size scaling theory

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Published under licence by IOP Publishing Ltd
, , Citation Hassan Chamati and Nicholay S Tonchev 2000 J. Phys. A: Math. Gen. 33 L167 DOI 10.1088/0305-4470/33/19/101

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1 Institute of Solid State Physics, 72 Tzarigradsko chaussée, 1784 Sofia, Bulgaria

Dates

  1. Received 2 February 2000

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0305-4470/33/19/L167

Abstract

A general formula is obtained from which the Madelung-type constant, that is extensively used in finite-size scaling theory is computed analytically for some particular cases of the parameters d and ν. By adjusting these parameters one can obtain different physical situations corresponding to different geometries and magnitudes of the interparticle interaction.

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