Apparent independency of an aggregation system with injection
- 1 April 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 39 (8), 4345-4347
- https://doi.org/10.1103/physreva.39.4345
Abstract
We investigate the spatial correlation of a model of aggregation system with injection. This system is characterized by a single point on the f-α diagram (f=1,α=3) which is identical to the case of independent power-law distributions. The R/S analysis also shows no dependency. However, theoretically there exists a higher-order correlation which is difficult to detect but strong eneough to modify the exponent of mass distribution.Keywords
This publication has 9 references indexed in Scilit:
- Power-law mass distribution of aggregation systems with injectionPhysical Review A, 1988
- FractalsPublished by Springer Nature ,1988
- Geometrical multifractality of growing structuresJournal of Physics A: General Physics, 1987
- Steady Distributions in Aggregation Process of Sticky ParticlesProgress of Theoretical Physics, 1987
- Fractal measures and their singularities: The characterization of strange setsPhysical Review A, 1986
- The infinite number of generalized dimensions of fractals and strange attractorsPhysica D: Nonlinear Phenomena, 1983
- Generalized dimensions of strange attractorsPhysics Letters A, 1983
- Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrierJournal of Fluid Mechanics, 1974
- The Nonlinear Diffusion EquationPublished by Springer Nature ,1974