Diffusion with restrictions

Details Diffusion with restrictions Diffusion with restrictions

1998-05-05

arxiv.org/abs/cond-mat/9805039v1

Phys. Lett. A 244 (1998) 271

Physics

Condensed Matter

Statistical Mechanics

1 figure, can be send on request

Scientific paper

10.1016/S0375-9601(98)00335-1

A non--linear diffusion equation is derived by taking into account hopping rates depending on the occupation of next neighbouring sites. There appears additonal repulsive and attractive forces leading to a changed local mobiltiy. The stationary and the time dependent behaviour of the system are studied based upon the master equation approach. Different to conventional diffusion it results a time dependent bump the position of which increases with time described by an anomalous diffusion exponent. The fractal dimension of this random walk is exclusively determined by the space dimension. The applicabilty of the model to descibe glasses is discussed.

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