## Abstract

New Monte Carlo (MC) results on the interfacial adsorption in the vicinity of the tricritical point of the two-dimensional Blume-Capel model are reported. The net adsorption, W_{0}, is found to diverge as W_{0} approximately t_{c}^{-w} with omega =0.44+or-0.02 as the tricritical point is approached along a path asymptotically not parallel to the phase boundary. This behaviour as well as previous MC results on the interfacial adsorption at the critical line and the first-order transition of the model are explained using analytic and scaling arguments. In addition, finite size effects at the first-order transition are analysed, and it is shown that the critical adsorption scales as L_{perpendicular to}f(L/sub ////L _{perpendicular to}^{2}) where L/sub /// and L _{perpendicular to} are the lengths of the system in the directions parallel and perpendicular to the interface. The scaling function f is evaluated by performing MC simulations on systems with various length to width ratios.

Original language | English (US) |
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Article number | 019 |

Pages (from-to) | 3019-3027 |

Number of pages | 9 |

Journal | Journal of Physics A: General Physics |

Volume | 17 |

Issue number | 15 |

DOIs | |

State | Published - Dec 1 1984 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics