Interfacial adsorption in the two-dimensional blume-capel model

W. Selke, D. A. Huse, D. M. Kroll

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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, W0, is found to diverge as W0 approximately tc-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 Lperpendicular tof(L/sub ////L perpendicular to2) 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 languageEnglish (US)
Article number019
Pages (from-to)3019-3027
Number of pages9
JournalJournal of Physics A: General Physics
Issue number15
StatePublished - Dec 1 1984
Externally publishedYes

All Science Journal Classification (ASJC) codes

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

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