Regensburg 2000 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 44: Phasenumwandlungen

DY 44.2: Vortrag

Donnerstag, 30. März 2000, 14:45–15:00, H2

Finite-size scaling of kinetic quantities — •Christian Uebing¹, Felix Nieto², and Alexander Tarasenko³ — ¹Max-Planck-Institut für Eisenforschung, Düsseldorf — ²Universidad Nacional de San Luis, Argentina — ³National Academy of Sciences, Kiev, Ukraine

In this contribution we analyze the finite-size scaling behavior of the tracer and jump surface diffusion coefficients, D_t and D_j, in the vicinity of a second order phase transition. For this purpose, we use a two-dimensional lattice gas model of repulsively interacting particles on a square lattice. For all lattice sizes L studied, the temperature dependences of D_t and D_j at half coverage are smooth functions, having an inflexion point at the critical temperature. Their derivatives, ∂ D_t/∂(1/k_BT) and ∂ D_j/∂(1/k_BT), exhibit cusp-like maxima which are (a) sharply pronounced and (b) converge to T_c for large lattice sizes. The finite-size behavior of D_t and D_j can be described by critical exponents σ_t=0.665± 0.003 and σ_j=0.585± 0.003.