ISSN:
1572-9613
Keywords:
Aggregation
;
injection
;
power law distribution
;
stability
;
relaxation
;
stable distribution
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We study a generalized aggregation process in which charged particles diffuse and coalesce randomly on a lattice. For one-dimensional and mean-field models, we show that there exists a statistically-invariant steady state when randomly charged particles are continuously injected. The steady-state charge distribution obeys a power law with the exponent depending both on the type of the injection and on the spatial dimension. The response of the system to a perturbation (i.e., relaxation) is characterized by either a power law decay (t −β ,β⩽1) or a compressed exponential decay [exp(−t α ),α〉1].
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01053751
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