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, 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 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 - 1984 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- General Physics and Astronomy
- Mathematical Physics