Fractal chemical kinetics: Reacting random walkers

Autor: Raoul Kopelman, J. S. Newhouse, L. W. Anacker
Rok vydání: 1984
Předmět:
Zdroj: Journal of Statistical Physics. 36:591-602
ISSN: 1572-9613
0022-4715
DOI: 10.1007/bf01012924
Popis: Computer simulations on binary reactions of random walkers (A + A --* A) on fractal spaces bear out a recent conjecture: (p-~-po I) oct s, where p is the instantaneous walker density and P0 the initial one, andf = d j2, where d s is the spectral dimension. For the Sierpinski gaskets: d= 2, 2f = 1.38 (d~ = 1.365); d = 3, 2f= 1.56 (d s = 1.547); biased initial random distributions are compared to unbiased ones. For site percolation: d = 2, p = 0.60, 2f= 1.35 (d~ = 1.35); d= 3, p = 0.32, 2f= 1.37 (d s = 1.4); fractal-to-Euclidean crossovers are also observed. For energetically disordered lattices, the effective 2f (from reacting walkers) and d s (from single walkers) are in good agreement, in both two and three dimensions.
Databáze: OpenAIRE
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