Renormalization group treatment of the scaling properties of finite systems with subleading long-range interaction

  • H. Chamati
  • D.M. Dantchev


The finite size behavior of the susceptibility, Binder cumulant and some even moments of the magnetization of a fully finite O(n) cubic system of size L are analyzed and the corresponding scaling functions are derived within a field-theoretic ɛ-expansion scheme under periodic boundary conditions. We suppose a van der Waals type long-range interaction falling apart with the distance r as r- (d + σ), where 2 < σ < 4, which does not change the short-range critical exponents of the system. Despite that the system belongs to the short-range universality class it is shown that above the bulk critical temperature Tc the finite-size corrections decay in a power-in-L, and not in an exponential-in-L law, which is normally believed to be a characteristic feature for such systems.

PACS. 64.60.-i General studies of phase transitions – 64.60.Fr Equilibrium properties near critical points, critical exponents – 75.40.-s Critical-point effects, specific heats, short-range order 


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Copyright information

© EDP Sciences, Springer-Verlag 2002

Authors and Affiliations

  • H. Chamati
    • 1
  • D.M. Dantchev
    • 2
  1. 1.Institute of Solid State Physics - BAS, Tzarigradsko chaussée 72, 1784 Sofia, BulgariaBG
  2. 2.Institute of Mechanics - BAS, Acad. G. Bonchev St. bl. 4, 1113 Sofia, BulgariaBG

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