Summation of logarithmic interactions in nonrectangular periodic media

被引：46

作者：

Gronbech-Jensen, N ^{[1
]}

机构：

[1] Univ Calif Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[2] Univ Calif Los Angeles, Dept Phys, Los Angeles, CA 90024 USA

来源：

COMPUTER PHYSICS COMMUNICATIONS | 1999年 / 119卷 / 2-3期

关键词：

long-range interactions; lattice summations; vortex dynamics;

D O I：

10.1016/S0010-4655(99)00200-3

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We present a set of expressions for practical evaluation of energies, including self-energies, and forces between particles interacting logarithmically in a finite two-dimensional nonrectangular system with periodic boundary conditions. The formalism can be used for fast and accurate, dynamical or Monte Carlo, simulations of interacting line charges or interactions between point and line charges. The expressions are shown to converge to usual computer accuracy (similar to 10(-16)) by adding only few terms in a single sum of standard trigonometric functions. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：115 / 121

页数：7

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