Electrostatic Energy of an Aggregate of Point Charges with Periodicity in a Uniform Background (Condensed Matter and Statistical Physics)

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概要

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• We propose a definitive expression for the electrostatic energy of an aggregate of point charges with periodicity in a uniform background. We correctly treat the long-range property of the Coulomb interaction on the basis of the Yukawa interaction. In the derivation, we define a dimension-dependent function which solves the divergence problem in the sum of Coulomb potentials. We also derive an expression for the sum of 1/γ^ν-type potentials. We recognize the validity of our expression for electrostatic energies, applying it to typical crystals in a uniform background, and show that electrostatic energies do not depend in a simple manner on the dimension of periodicity. We also investigate α-cluster matter as an example of Lennard-Jones systems.

• 理論物理学刊行会の論文
• 2004-02-25

著者

• Tohsaki Akihiro

  Department Of Fine Materials Engineering Shinshu University

• TOHSAKI Akihiro

  Suzuki Corporation

• Takemoto Hiroki

  Department Of Electrical Engineering Faculty Of Engineering Ryukyu University

• TAKEMOTO Hiroki

  Department of Physics, Kyoto University

• TAKEMOTO Hiroki

  Department of Fine Materials Engineering, Shinshu University:(Present address)Department of Physics, Kyoto University

• TOHSAKI Akihiro

  Physique Nucleaire Theorique et Physique Mathematique Universite Libre de Bruxelles:Department of Physics, University of Oxford

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