Auxiliary field simulation and Coulomb's law

Publication Type
Journal Article
Year of Publication
2005
Authors
Maggs, {A.C.}
Rottler,J.
Name of Publication
Computer Physics Communications
Volume
169
Pagination
160–165
ISSN
0010-4655
Entry URL
http://www.sciencedirect.com/science/article/pii/S0010465505001347
DOI
10.1016/j.cpc.2005.03.037
Keywords
Constrained dynamic systems, Coulomb, Maxwell's equations, molecular dynamics, Particle-in-cell, {Monte-Carlo}
Abstract

We review a family of local algorithms that permit the simulation of charged particles with purely local dynamics. Molecular dynamics formulations lead to discretizations similar to those of “particle-in-cell” methods in plasma physics. We show how to formulate a local {Monte-Carlo} algorithm in the presence of the long ranged Coulomb interaction. We compare the efficiencies of our molecular dynamics and {Monte-Carlo} codes.