Self-diffusion in simple models: Systems with long-range jumps



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Asselah, A. and Brito, Ricardo and Lebowitz, J. L. (1997) Self-diffusion in simple models: Systems with long-range jumps. Journal of Statistical Physics, 87 (05-jun). pp. 1131-1144. ISSN 0022-4715

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We review some exact results for the morion of a tagged particle in simple models. Then, we study the density dependence of the sill-diffusion coefficient D_(N)(ρ) in lattice systems with simple symmetric exclusion in which the particles can jump, with equal rates, to a set of N neighboring sites. We obtain positive upper and lower bounds on F_(N)(ρ) = N{(1 - ρ) - [D_(N)(ρ)/D_(N)(0)]}/[ρ(1 - ρ)] for ρ is an element of [0, 1]. Computer simulations for the square, triangular, and one-dimensional lattices suggest that FN becomes effectively independent of N for N greater than or equal to 20.

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© 1997 Plenum Publishing Corporation. We thank C. Landim, S. Olla, M. S. Ripoll, and H. T. Yau for useful discussions. This work was supported by NSF Grant 92-13424 4-20946. R.B. was also supported by D.G.I.C. y T. (Spain), project PB94-0265.

Uncontrolled Keywords:Simple exclusion; Tagged particle; Equation; Limit
Subjects:Sciences > Physics > Thermodynamics
ID Code:21862
Deposited On:24 Jun 2013 12:33
Last Modified:24 Jul 2018 11:12

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