 Percolation properties of the antiferromagnetic Blume–Capel model in the presence of a magnetic fieldG. Pawłowski Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 7, 1111-1119 Abstract: The problem of order–order and order–disorder transitions in the system described by the 2D antiferromagnetic Blume–Capel model in the presence of a magnetic field is studied by the Wang and Landau flat-histogram simulation method and by the classical Monte Carlo. Anomalous thermodynamic characteristics in low temperatures indicate different type orderings in finite temperatures. The existence of pure antiferromagnetic phases as well as mixed state is shown by detailed phenomenological analysis of the system. The border lines on the phase diagram between various orderings are determined by the complementary microscopic study of the percolation problem for c(2×2) elementary structures of antiferromagnetic ordered phases. This new approach has also shown a full agreement between the percolation threshold for the cluster of mixed phase and the critical temperature of the ordered system. Keywords: Phase transitions; Percolation problem; Blume–Capel model (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:7:p:1111-1119 DOI: 10.1016/j.physa.2008.12.057 Access Statistics for this article Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis More articles in Physica A: Statistical Mechanics and its Applications from Elsevier |
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