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Self-Diffusion in Simple Models: Systems with Long-Range Jumps
We review some exact results for the motion of a tagged particle in simple
models. Then, we study the density dependence of the self diffusion
coefficient, , in lattice systems with simple symmetric exclusion in
which the particles can jump, with equal rates, to a set of neighboring
sites. We obtain positive upper and lower bounds on
for .
Computer simulations for the square, triangular and one dimensional lattice
suggest that becomes effectively independent of for .Comment: 24 pages, in TeX, 1 figure, e-mail addresses: [email protected],
[email protected], [email protected]
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