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Journal of Statistical Physics

, Volume 33, Issue 2, pp 385–417 | Cite as

Finite-size effects at first-order transitions

  • Vladimir Privman
  • Michael E. Fisher
Articles

Abstract

Finite-size rounding of a first-order phase transition is studied in “block”- and “cylinder”-shaped ferromagnetic scalar spin systems. Crossover in shape is investigated and the universal form of the rounded susceptibility peak is obtained. Scaling forms on the low-temperature side of the critical point are considered both above and below the borderline dimensionality,d >=4. A method of phenomenological renormalization, applicable to both odd and even field derivatives, is suggested and used to estimate universal amplitudes for two-dimensional Ising models atT=Tc.

Key words

First-order transitions finite-size effects scaling theory Ising models phenomenological renormalization borderline dimensionality 

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Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • Vladimir Privman
    • 1
  • Michael E. Fisher
    • 1
  1. 1.Baker LaboratoryCornell UniversityIthaca

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