Coupling of orthogonal diffusion modes in two-dimensional nonhomogeneous systems

Details Coupling of orthogonal diffusion modes in two-dimensional nonhomogeneous systems Coupling of orthogonal diffusion modes in two-dimensional nonhomogeneous systems

2008-06-16

arxiv.org/abs/0806.2589v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 5 figures

Scientific paper

10.1103/PhysRevB.78.235406

Collective diffusion coefficient in a two-dimensional lattice gas on a nonhomogeneous substrate is investigated using variational approach. Particles reside at adsorption sites with different well depths potentials and jump randomly between them. The site blocking is the only particle--particle interaction mechanism. It is shown that the value of the diffusion coefficient in one lattice direction depends nontrivially on the rate and the character of the particle jumps in all directions. When the jump rate in the direction perpendicular to that along which the diffusion is observed increases, the collective diffusion coefficient approaches values predicted within the mean field approximation. Results of the Monte Carlo simulations for selected systems are very well reproduced by our analytical results.

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