Multifractality and multiscaling in collision cascades

F. Kun, G. Bardos

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

It is shown that self-ion collisional cascades exhibit multifractality. The structure of the cascades was studied by analyzing the length distribution n(l,L) of the free flight path l traveled by particles during the cascade evolution. It was found that the collisional cascade can be partitioned into an infinity of subsets, each one characterized by a fixed value of x=lnl/lnL (where L is the system size) and a distinct value of the fractal dimension (x). The mechanism for multifractality based on an underlying multiplicative process is illustrated on a simple geometrical model. The multiscaling structure of the function n(l,L) is discussed.

Original languageEnglish
Pages (from-to)2639-2645
Number of pages7
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume50
Issue number4
DOIs
Publication statusPublished - 1994

Fingerprint

Multiscaling
Multifractality
Cascade
cascades
Collision
collisions
free flight
flight paths
Fractal Dimension
infinity
set theory
fractals
Multiplicative
Infinity
Distinct
Path
Subset
ions

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Multifractality and multiscaling in collision cascades. / Kun, F.; Bardos, G.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 50, No. 4, 1994, p. 2639-2645.

Research output: Contribution to journalArticle

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