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Shape dependence of the finite-size scaling limit in a strongly anisotropic \(\mathsf{O(\infty)}\) model

  • S. CaraccioloEmail author
  • A. Gambassi
  • M. Gubinelli
  • A. Pelissetto
Original Paper

Abstract.

We discuss the shape dependence of the finite-size scaling limit in a strongly anisotropic O(N) model in the large-N limit. We show that scaling is observed even if an incorrect value for the anisotropy exponent is considered. However, the related exponents may only be effective ones, differing from the correct critical exponents of the model. We discuss the implications of our results for numerical finite-size scaling studies of strongly anisotropic systems.

Keywords

Anisotropy Critical Exponent Scaling Limit Anisotropic Model Anisotropic System 
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Copyright information

© Springer-Verlag Berlin/Heidelberg 2003

Authors and Affiliations

  • S. Caracciolo
    • 1
    Email author
  • A. Gambassi
    • 2
  • M. Gubinelli
    • 3
  • A. Pelissetto
    • 4
  1. 1.Dipartimento di Fisica and INFNUniversità di Milano, and INFM-NESTMilanoItaly
  2. 2.Dipartimento di Fisica and INFNMax-Planck-Institut für MetallforschungStuttgartGermany
  3. 3.Institut für Theoretische und Angewandte PhysikUniversität StuttgartGermany
  4. 4.Dipartimento di Matematica Applicata and INFNUniversità di PisaPisaItaly

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