Finite size effects in the intermittency analysis of the fragment-size correlations

doi:10.1016/0375-9474(92)90133-5

Nuclear Physics A

Volume 539, Issue 4, 6 April 1992, Pages 693-712

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Abstract

The influence of the finite-size effect on the fragment-size correlations in the nuclear multi- fragmentation is studied using the method of scaled factorial moments for a 1-dimensional percolation model and for a statistical model of the fragmentation process, which for a certain value of a tuning parameter yields the power-law behaviour of the fragment-size distribution. It is shown that the statistical models of this type contain only repulsive correlations due to the conservation laws. The comparison of the results with those obtained in the non-critical 1- dimensional percolation and in the 3-dimensional percolation at around the critical point is presented. Correlations in the 1-dimensional model are analysed analytically and the mechanism of the attractive correlations in 1- and 3-dimensions is identified.

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The intermittence signal on the size frequency of fragments found in various fragmenting systems is reconsidered. We believe that this signal, extracted from a factorial moment analysis, was incorrectly interpreted as a genuine intermittency. Indeed, the analysis in factorial moments made at fixed multiplicity, as it should be, reveals a total absence of proper intermittency in the size distribution. Moreover, in percolation theory this intermittency signal, which has often been claimed in the literature to signal a phase transition, vanishes when the size of the system tends to infinity. Our conclusion is that the signal found in earlier works and interpreted as an intermittency behaviour results from both the power law of the mean size fragment distribution and from the finite width of the multiplicity distribution. We conjecture that any partition of integers exhibiting these two features will provide a similar signal.
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Finite size effects in the intermittency analysis of the fragment-size correlations

Abstract

Phys. Rev. Lett.

Phys. Reports

Rep. Prog. Phys.

J. of Phys.

Phys. Lett.

Nucl. Phys.

Z. Phys.

Nucl. Phys.

Nucl. Phys.

Phys. Rev.

Phys. Rev.

Phys. Rev. Lett.

Phys. Rev.

Acta Phys. Polon.

Nucl. Phys.

Nucl. Phys.

Phys. Lett.

Phys. Reports

Phys. Lett.

J. Fluid Mech.

Turbulent shear flows 4

J. Fluid. Mech.

Zh. Eksp. Teor. Fiz.

Usp. Fiz. Nauk

Nucl. Phys.

Nucl. Phys.

Phys. Rev. Lett.

Nucl. Phys.

Physics