SUMMATION OF LOGARITHMIC INTERACTIONS IN PERIODIC MEDIA

Authors
GRONBECHJENSEN N
Citation
N. Gronbechjensen, SUMMATION OF LOGARITHMIC INTERACTIONS IN PERIODIC MEDIA, International journal of modern physics C, 7(6), 1996, pp. 873-881
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical","Computer Science Interdisciplinary Applications
Journal title
International journal of modern physics C → ACNP
ISSN journal
01291831
Volume
7
Issue
6
Year of publication
1996
Pages
873 - 881
Database
ISI
SICI code
0129-1831(1996)7:6<873:SOLIIP>2.0.ZU;2-W
Abstract
We present a set of expressions for evaluating energies and forces bet ween particles interacting logarithmically in a finite two-dimensional system with periodic boundary conditions. The formalism can be used f or fast and accurate, dynamical or Monte Carlo, simulations of interac ting 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 trigo nometric functions.