| Issue |
Europhys. Lett.
Volume 43, Number 5, September I 1998
|
|
|---|---|---|
| Page(s) | 558 - 564 | |
| Section | Condensed matter: structure, thermal and mechanical properties | |
| DOI | https://doi.org/10.1209/epl/i1998-00397-8 | |
| Published online | 01 September 2002 | |
Finite-size scaling behavior of the tracer surface diffusion coefficient near a second-order phase transition
1
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
Received:
15
April
1998
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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