Abstract
The asymptotic power-law behavior of the distribution function P(X) for X clusters is analyzed for aggregation and weighted-chipping processes. Here, chipping off of a cluster of size n takes place with the probability function ∼1/nσ. An exact value of a noninteger power-law index is obtained, that is, P(X) ∼ 1/Xα with α = σ in the case of 1 < σ ≤ 2. This gives thresholds of σ = 2 for the emergence of a condensed cluster and σ = 1 for the appearance of a power-law distribution. Numerical analysis supports well this result.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
