Volume 43, Number 5, September I 1998
|Page(s)||558 - 564|
|Section||Condensed matter: structure, thermal and mechanical properties|
|Published online||01 September 2002|
Finite-size scaling behavior of the tracer surface diffusion coefficient near a second-order phase transition
Max-Planck-Institut für Eisenforschung,
Max-Planck-Str. 1, D-40237 Düsseldorf, Germany
2 Departamento de Física and Centro Latinoamericano de Estudios Ilya Prigogine, Universidad Nacional de San Luis, CONICET, Chacabuco 917, 5700 San Luis, Argentina
3 Institute of Physics, National Academy of Science of Ukraine, prospekt Nauki 46, Kiev, Ukraine
4 Lehrstuhl für Physikalische Chemie II, Universität Dortmund, Otto-Hahn-Str. 6, D-44227 Dortmund, Germany
Accepted: 13 July 1998
We investigate the finite-size scaling behavior of the tracer surface diffusion coefficient in the vicinity of a second-order phase transition. For this purpose, we use a lattice gas model of repulsively interacting particles on a square lattice. For all lattice sizes L studied, the measured tracer surface diffusion coefficient, Dt, is a smooth function, having an inflexion point at critical temperature. Its derivative, , exhibits cusp-like maximum which is a) sharply pronounced and b) converged to for large lattice sizes. We have analyzed the finite-size behavior of Dt and obtained its critical exponent .
PACS: 68.35.Rh – Phase transitions and critical phenomena / 68.35.Fx – Diffusion; interface formation / 64.60.Ht – Dynamic critical phenomena
© EDP Sciences, 1998
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