skip to main content

Critical behaviour of three-dimensional Ising ferromagnets at imperfect surfaces: Bounds on the surface critical exponent $\beta_1$

Diehl, H. W.

Eur. Phys. J. B 1, 401-404 (1998) [Periódico revisado por pares]

Texto completo disponível

Citações Citado por
  • Título:
    Critical behaviour of three-dimensional Ising ferromagnets at imperfect surfaces: Bounds on the surface critical exponent $\beta_1$
  • Autor: Diehl, H. W.
  • Assuntos: Condensed Matter - Statistical Mechanics ; Condensed Matter - Disordered Systems And Neural Networks
  • É parte de: Eur. Phys. J. B 1, 401-404 (1998)
  • Descrição: The critical behaviour of three-dimensional semi-infinite Ising ferromagnets at planar surfaces with (i) random surface-bond disorder or (ii) a terrace of monatomic height and macroscopic size is considered. The Griffiths-Kelly-Sherman correlation inequalities are shown to impose constraints on the order-parameter density at the surface, which yield upper and lower bounds for the surface critical exponent $\beta_1$. If the surface bonds do not exceed the threshold for supercritical enhancement of the pure system, these bounds force $\beta_1$ to take the value $\beta_1^{ord}$ of the latter system's ordinary transition. This explains the robustness of $\beta_1^{ord}$ to such surface imperfections observed in recent Monte Carlo simulations. Comment: Latex, 4 pages, uses Revtex stylefiles, no figures, accepted EPJB version, only minor additions and cosmetic changes

Buscando em bases de dados remotas. Favor aguardar.