Summation of logarithmic interactions in periodic media

被引：45

作者：

GronbechJensen, N ^{[1
]}

机构：

[1] LOS ALAMOS NATL LAB, DIV THEORET, LOS ALAMOS, NM 87545 USA

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 1996年 / 7卷 / 06期

关键词：

long range interactions; molecular dynamics; interactions with periodic boundary conditions; vortex interactions; periodic summations;

D O I：

10.1142/S0129183196000727

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 evaluating energies and forces between particles interacting logarithmically in a finite two-dimensional 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.

引用

页码：873 / 881

页数：9

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