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- W1966076410 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." @default.
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- W1966076410 date "2015-05-15" @default.
- W1966076410 modified "2023-10-14" @default.
- W1966076410 title "Asymptotic Power-Law Index in Aggregation and Weighted-Chipping Processes" @default.
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- W1966076410 doi "https://doi.org/10.7566/jpsj.84.054003" @default.
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