A multifractal description of the hydrodynamic force distribution for reaction-limited aggregates
The Journal of Chemical Physics, ISSN: 0021-9606, Vol: 88, Issue: 3, Page: 2042-2048
1988
- 5Citations
- 2Captures
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Article Description
The distribution of forces and force components exerted by the particles on the fluid in a fractal aggregate moving through a quiescent fluid can be described in terms of a fractal measure or a multifractal distribution. The distribution of normalized forces or force components F for aggregates of different masses (M) can be scaled onto a common curve using the scaling form In{N[In(F) ]} = In(M)g[In(F )/In(M) ]. The scaling function g(x) has been determined for three dimensional reaction-limited cluster-cluster aggregates with a fractal dimensionality (D) of 2.10 using the Kirkwood-Riseman theory and has been found to be almost indistinguishable from the scaling function for diffusion limited aggregates (D ≃ 1.78). The spectrum of singularities f(α) of strength α defined by Halsey et al. has been determined from the scaling function g(x) and from the moments of the force probability distribution. Some of the uncertainties associated with the determination of the asymptotic (M→∞ ) shape of f(α) from finite size simulations or experiments are explored and discussed. © 1988 American Institute of Physics.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0012019738&origin=inward; http://dx.doi.org/10.1063/1.454080; https://pubs.aip.org/jcp/article/88/3/2042/793068/A-multifractal-description-of-the-hydrodynamic; http://aip.scitation.org/doi/10.1063/1.454080; https://aip.scitation.org/action/captchaChallenge?redirectUrl=https%3A%2F%2Faip.scitation.org%2Fdoi%2F10.1063%2F1.454080
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