The anisotropic 3D Ising model

Henricus J.W. Zandvliet, A. Saedi, C. Hoede

Research output: Book/ReportReportProfessional

6 Citations (Scopus)
80 Downloads (Pure)

Abstract

An asymptotically exact expression for the free energy of an (001) oriented domain wall of the 3D Ising model is derived. The order-disorder transition takes place when the domain wall free energy vanishes. In the anisotropic limit, where two of the three exchange energies (e.g. $J_x$ and $J_y$ ) are small compared to the third exchange energy ( $J_z$ ), the following equation for the critical temperature is derived, $\sinh\left(\frac{2J_z}{k_BT_c}\right)\sinh\left(\frac{2(J_x+J_y)}{k_BT_c}\right)=1.$ It is shown that this expression is asymptotically exact.
Original languageEnglish
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Applied Mathematics
Number of pages11
Publication statusPublished - Mar 2007

Publication series

Name
PublisherDepartment of Applied Mathematics, University of Twente
No.2/1829
ISSN (Print)1874-4850
ISSN (Electronic)1874-4850

Keywords

  • METIS-242078
  • IR-67017
  • EWI-9534

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  • Cite this

    Zandvliet, H. J. W., Saedi, A., & Hoede, C. (2007). The anisotropic 3D Ising model. Enschede: University of Twente, Department of Applied Mathematics.