Journal of Statistical Physics

, Volume 87, Issue 1–2, pp 273–291 | Cite as

Dimensional crossover in the large-N limit

  • Denjoe O'Connor
  • C. R. Stephens
  • A. J. Bray
Articles

Abstract

We consider dimensional crossover for anO(N) Landau-Ginzburg-Wilson model on ad-dimensional film geometry of thicknessL in the large-N limit. We calculate the full universal crossover scaling forms for the free energy and the equation of state. We compare the results obtained using “environmentally friendly” renormalization with those found using a direct, non-renormalization-group approach. A set of effective critical exponents are calculated and scaling laws for these exponents are shown to hold exactly, thereby yielding nontrivial relations between the various thermodynamic scaling functions.

Key Words

Renormalization group finite size scaling dimensional crossover scaling functions effective exponents 

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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • Denjoe O'Connor
    • 1
  • C. R. Stephens
    • 2
  • A. J. Bray
    • 3
  1. 1.Dublin Institute for Advanced StudiesDublin 4Ireland
  2. 2.I.C.N.U.N.A.M., Circuito ExteriorMéxicoMéxico
  3. 3.Department of Theoretical Physics, The UniversityManchesterU.K.

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