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Non-frustrated Ferromagnetic Ising Model on the Quasiperiodic Octagonal Tiling: Finite-Size Behaviour

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Computer Simulation Studies in Condensed-Matter Physics VIII

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 80))

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Abstract

The non-frustrated ferromagnetic Ising model on the quasiperiodic octagonal tiling is studied by means of Monte-Carlo simulations. From a finite-size scaling analysis of octagonal tilings with free boundary conditions, the critical temperature is estimated at kTc/J = 2.39 ± 0.01 and the critical exponents v, β and γ are in reasonable agreement with previous studies on the Penrose tiling. This strongly suggests that the two-dimensional ferromagnetic Ising model on quasiperiodic tilings and on periodic lattices belong to the same universality class.

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Author information

Authors and Affiliations

  1. Faculté des Sciences, LMA URA CNRS 808, 76821, Mont-Saint-Aignan Cédex, France

    D. Ledue & J. Teillet

  2. Center for Simulational Physics, The University of Georgia, Athens, Georgia, 30602, USA

    D. P. Landau

Authors
  1. D. Ledue
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  2. D. P. Landau
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  3. J. Teillet
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Editor information

Editors and Affiliations

  1. Center for Simulational Physics, The University of Georgia, 30602, Athens, GA, USA

    David P. Landau Ph. D. , K. K. Mon Ph. D.  & Heinz-Bernd Schüttler Ph. D. ,  & 

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© 1995 Springer-Verlag Berlin Heidelberg

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Ledue, D., Landau, D.P., Teillet, J. (1995). Non-frustrated Ferromagnetic Ising Model on the Quasiperiodic Octagonal Tiling: Finite-Size Behaviour. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics VIII. Springer Proceedings in Physics, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79991-4_10

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  • DOI: https://doi.org/10.1007/978-3-642-79991-4_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79993-8

  • Online ISBN: 978-3-642-79991-4

  • eBook Packages: Springer Book Archive

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