Stretched exponential relaxation in a diffusive lattice model

Details Stretched exponential relaxation in a diffusive lattice model Stretched exponential relaxation in a diffusive lattice model

2001-10-31

arxiv.org/abs/cond-mat/0110648v1

Phys. Rev. E 65, 026127 (2002)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures, to be published in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.65.026127

We studied the single dimer dynamics in a lattice diffusive model as a function of particle density in the high densification regime. The mean square displacement is found to be subdiffusive both in one and two dimensions. The spatial dependence of the self part of the van Hove correlation function displays as function of $r$ a single peak and signals a dramatic slow down of the system for high density. The self intermediate scattering function is fitted to the Kohlrausch-Williams-Watts law. The exponent $\beta$ extracted from the fits is density independent while the relaxation time $\tau$ follows a scaling law with an exponent 2.5.

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