Novel dimension-independent behaviour for diffusive annihilation on percolation fractals
- 11 March 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (4) , L173-L177
- https://doi.org/10.1088/0305-4470/17/4/004
Abstract
The authors report the first studies of diffusive annihilation on fractal structures. They find super-universal (d-independent) behaviour for the time decay of the particle density; specifically, for the reaction A+A to 0 they find rho A approximately t-23/, while for the reaction A+B to 0 they find rho A approximately t-13/. A scaling theory for diffusive annihilation is developed that predicts that the first exponent is 1/2ds and the second is 1/4ds, where ds=2df/dw is the spectral dimension. Thus the findings support the Alexander-Orbach conjecture (1982) that ds is independent of d.Keywords
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