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Long-term memory effects in closed random aggregating systems

par Provata, Astero ;Takayasu, Hideki;Takayasu, Misako
Référence Europhysics letters, 33, 2, page (99-104)
Publication Publié, 1996-01

Article révisé par les pairs

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Résumé :

We study the problem of fractal initial conditions in closed aggregating systems (no external input). When the initial distribution of aggregating particles has a fractal dimension Df, the number of surviving particles decreases as N(t) ∼ t-Df/2, for Df < 2. Logarithmic corrections are necessary for Df = 2. This fractal decay indicates that in closed aggregating systems the memory of the initial distribution is always present in the dynamical exponent which characterizes the decay of the particle number.