Finite-size scaling of kinetic quantities

Abstract

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 (a) are 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.