TESTING BOUNDARY CONDITIONS EFFICIENCY IN SIMULATIONS OF LONG-RANGE INTERACTING MAGNETIC MODELS

Sergio A. Cannas (), Cintia M. Lapilli () and Daniel A. Stariolo ()
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Sergio A. Cannas: Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Córdoba, Argentina
Cintia M. Lapilli: Department of Physics and Astronomy, University of Missouri-Columbia, Columbia, Missouri 65211, USA
Daniel A. Stariolo: Departamento de Física, Universidade Federal do Rio Grande do Sul, CP 15051, 91501–979, Porto Alegre, Brazil

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 01, 115-127

Abstract: Periodic boundary conditions have no unique implementation in magnetic systems where all spins interact with each other through a power law decaying interaction of the form1/rα,rbeing the distance between spins. In this work we present a comparative study of the finite size effects oberved in numerical simulations by using first image and infinite image periodic boundary conditions in one- and two-dimensional spin systems with those interactions, including the ferromagnetic, anti-ferromagnetic and competitive interaction cases. Our results show no significative differences between the finite size effects produced by both boundary conditions when the low temperature phase has zero global magnetization, and it depends on the ratioα/dfor systems with a low temperature ferromagnetic phase. In the last case the first image convention gives more stronger finite size effects than the other when the system enters into the classical regimeα/d≤3/2.

Keywords: Periodic boundary conditions; Ising models; long-range interactions; numerical simulations; 05.10.Ln; 05.50.+q; 75.10.Hk (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104005553

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