Ewald sums for one dimension - INSU - Institut national des sciences de l'Univers Accéder directement au contenu
Article Dans Une Revue Physical Review E Année : 2010

Ewald sums for one dimension

Résumé

We derive analytic solutions for the potential and field in a one-dimensional system of masses or charges with periodic boundary conditions, in other words, Ewald sums for one dimension. We also provide a set of tools for exploring the system evolution and show that it is possible to construct an efficient algorithm for carrying out simulations. In the cosmological setting we show that two approaches for satisfying periodic boundary conditions—one overly specified and the other completely general—provide a nearly identical clustering evolution until the number of clusters becomes small, at which time the influence of any size-dependent boundary cannot be ignored. Finally, we compare the results with other recent work with the hope to provide clarification over differences these issues have induced.
Fichier principal
Vignette du fichier
miller2010.pdf (829.42 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte

Dates et versions

insu-03596889 , version 1 (04-05-2022)

Identifiants

Citer

Bruce N. Miller, Jean-Louis Rouet. Ewald sums for one dimension. Physical Review E , 2010, 82, p. TC6019. ⟨10.1103/PhysRevE.82.066203⟩. ⟨insu-03596889⟩
19 Consultations
12 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More