Scaling Theory of Fragmentation

Cheng, Zheming; Redner, S.

doi:10.1103/physrevlett.60.2450

Cited by 204 publications

(150 citation statements)

References 13 publications

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“…Firstly, the standard deviation is considered which is defined as σ(ℓ) = [ δE(ℓ) 2 ] 1/2 . In the inertial range σ exhibits power-law behavior with respect to the increment distance, The occurrence of gamma PDFs is made plausible by a simple reaction-rate ansatz [14,15]: Consider the 'intensity' n(e) of turbulent fluctuations with energy e = |δE| such that n(e) is the fraction the total turbulent energy associated with these fluctuations and the larger eddies in which they are embedded. The evolution of this function is assumed to obey the following linear rate equation:…”

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confidence: 99%

Probability distributions of turbulent energy

Momeni

Müller

2008

Phys. Rev. E

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confidence: 99%

Probability distributions of turbulent energy

Momeni

Müller

2008

Phys. Rev. E

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“…Local shear due to turbulence, collisions and energy dissipation may lead to fragmentation, melting or fusion. Log-normal distributions are classically used when dealing with splitting (Shinnar, 1961;Cheng and Redner, 1988), coalescing or crushing (A. Fujihara and others, http://iopscience.iop.org/1742-6596/31/1/038).…”

Section: Resultsmentioning

confidence: 99%

Size of snow particles in a powder-snow avalanche

Rastello¹,

Rastello

Bellot³

et al. 2011

J. Glaciol.

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ABSTRACT. Little quantitative information is available concerning the size of ice particles in the turbulent clouds of powder-snow avalanches. To quantify particle size distributions, we have developed an experimental device that collects particles in real-scale powder avalanches. The device was placed on the concrete bunker of the Swiss Vallée de la Sionne avalanche dynamics test site. On 31 January 2003, a large powder-snow avalanche struck the bunker and we were able to collect particle samples. The collected particles have been photographed and the pictures digitized. An image analysis tool allows us to determine an equivalent particle radius. The captured particles have a geometric mean of 0.16 mm; the largest particles were 0.8 mm in size and the smallest particles 0.03 mm.

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“…Such a breakage mode has been contemplated in physical literature (cf. [7,8,29]), butat least to the author's knowledge-only its discrete version has been investigated mathematically so far (see [20]). …”

Section: Introductionmentioning

confidence: 99%