Intermittency in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Au</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>197</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>fragmentation

Ml, Cherry; Dąbrowska, A.; Deines‐Jones, P.; Hołyński, R.; Wv, Jones; Olszewski, A.; Ea, Pozharova; Sengupta, Kaushik; Skorodko, T. Yu.; Szarska, M.; Cj, Waddington; Jp, Wefel; Wilczyñska, B.; Wolter, W.; Wosiek, B. K.

doi:10.1103/physrevc.53.1532

Cited by 2 publications

(2 citation statements)

References 41 publications

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“…In order to study the scale-invariance properties as a function of the bin size δ, it is thus necessary to avoid as much as possible the statistical bias due to the dominance of mass-one fragments. Moreover, there could be good experimental reasons to avoid the contribution of lightest fragments [10] which can be contaminated by other processes than nuclear multifragmentation (e.g. preequilibrium, secondary emission, etc...).…”

Section: -A)mentioning

confidence: 99%

“…(i) The scaled factorial moments of multifragmentation models seem to contain redundant information, since only the second cumulant is significantly different from zero. In the framework of the approximation (10), which is valid since the first bin is largely dominating, it means that the scaled factorial moments can all be expressed as functions of K 2 (δ).…”

Section: Factorial Cumulantsmentioning

confidence: 99%

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Quasi-Gaussian fixed points and factorial cumulants in nuclear multifragmentation

Lacroix

Peschanski

1997

Nuclear Physics A

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We re-analyze the conditions for the phenomenon of intermittency (selfsimilar fluctuations) to occur in models of multifragmentation. Analyzing two different mechanisms, the bond-percolation and the ERW (Elattari, Richert and Wagner) statistical fragmentation models, we point out a common quasigaussian shape of the total multiplicity distribution in the critical range. The fixed-point property is also observed for the multiplicity of the second bin.Fluctuations are studied using scaled factorial cumulants instead of scaled factorial moments. The second-order cumulant displays the intermittency signal while higher order cumulants are equal to zero, revealing a large information redundancy in scaled factorial moments. A practical criterion is proposed to identify the gaussian feature of light-fragment production, distinguishing between a self-similarity mechanism (ERW) and the superposition of independent sources (percolation). DAPNIA/SPhN-96-17, SPhT T96/067Pacs: 24.60.Ky 25.70.Pq * Service militaire actif, Scientifique du Contingent.

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Section: -A)mentioning

confidence: 99%

Section: Factorial Cumulantsmentioning

confidence: 99%

Quasi-Gaussian fixed points and factorial cumulants in nuclear multifragmentation

Lacroix

Peschanski

1997

Nuclear Physics A

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Scaling range and cutoffs in empirical fractals

Malcai¹,

Lidar²,

Biham³

et al. 1997

Phys. Rev. E

156

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Fractal structures appear in a vast range of physical systems. A literature survey including all experimental papers on fractals which appeared in the six Physical Review journals (A-E and Letters) during the 1990's shows that experimental reports of fractal behavior are typically based on a scaling range ∆ which spans only 0.5 -2 decades. This range is limited by upper and lower cutoffs either because further data is not accessible or due to crossover bends. Focusing on spatial fractals, a classification is proposed into (a) aggregation; (b) porous media; (c) surfaces and fronts; (d) fracture and (e) critical phenomena. Most of these systems, [except for class (e)] involve processes far from thermal equilibrium. The fact that for self similar fractals [in contrast to the self affine fractals of class (c)] there are hardly any exceptions to the finding of ∆ ≤ 2 decades, raises the possibility that the cutoffs are due to intrinsic properties of the measured systems rather than the specific experimental conditions and apparatus. To examine the origin of the limited range we focus on a class of aggregation systems. In these systems a molecular beam is deposited on a surface, giving rise to nucleation and growth of diffusion-limited-aggregation-like clusters. Scaling arguments are used to show that the required duration of the deposition experiment increases exponentially with ∆. Furthermore, using realistic parameters for surfaces such as Al (111) it is shown that these considerations limit the range of fractal behavior to less than two decades in agreement with the experimental findings. It is conjectured that related kinetic mechanisms that limit the scaling range are common in other nonequilibrium processes which generate spatial fractals.

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Intermittency inAu197fragmentation

Cited by 2 publications

References 41 publications

Quasi-Gaussian fixed points and factorial cumulants in nuclear multifragmentation

Quasi-Gaussian fixed points and factorial cumulants in nuclear multifragmentation

Scaling range and cutoffs in empirical fractals

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