### Abstract

The distributions of fragments produced by microcanonical multifragmentation of hot nuclei are compared with the cluster distributions predicted by a bond percolation model on a finite lattice. The conditional moments of these distributions are used together with the correlations between the largest three fragments in each event. Whereas percolation and statistical nuclear fragmentation agree in many details as in the usual plots of the averaged moments of the fragment distributions which yield the critical exponents, they turn out to be essentially different when less averaged quantities or correlations are considered. The differences between the predictions of the two models are mainly due to the particularities of the nuclear problem, especially the effect of the long-range Coulomb force which favours the break-up of the highly excited nucleus into two large fragments (pseudo-fission) and, to a somewhat lesser extent, enhances the possibility for the cracking of the nucleus into more than two large fragments. The fission events are, however, clearly separated from a second branch of critical correlations which shows up clearly in both nuclear fragmentation and percolation. We think that this critical correlation branch is due to the liquid-gas phase transition in finite nuclei.

Original language | English |
---|---|

Pages (from-to) | 327-338 |

Number of pages | 12 |

Journal | Nuclear Physics A |

Volume | 514 |

Issue number | 2 |

DOIs | |

Publication status | Published - Jul 30 1990 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics A*,

*514*(2), 327-338. https://doi.org/10.1016/0375-9474(90)90074-V

**Percolation versus microcanonical fragmentation-comparison of fragment size distributions : Where is the liquid-gas transition in nuclei?** / Jaqaman, H. R.; Papp, G.; Gross, D. H E.

Research output: Contribution to journal › Article

*Nuclear Physics A*, vol. 514, no. 2, pp. 327-338. https://doi.org/10.1016/0375-9474(90)90074-V

}

TY - JOUR

T1 - Percolation versus microcanonical fragmentation-comparison of fragment size distributions

T2 - Where is the liquid-gas transition in nuclei?

AU - Jaqaman, H. R.

AU - Papp, G.

AU - Gross, D. H E

PY - 1990/7/30

Y1 - 1990/7/30

N2 - The distributions of fragments produced by microcanonical multifragmentation of hot nuclei are compared with the cluster distributions predicted by a bond percolation model on a finite lattice. The conditional moments of these distributions are used together with the correlations between the largest three fragments in each event. Whereas percolation and statistical nuclear fragmentation agree in many details as in the usual plots of the averaged moments of the fragment distributions which yield the critical exponents, they turn out to be essentially different when less averaged quantities or correlations are considered. The differences between the predictions of the two models are mainly due to the particularities of the nuclear problem, especially the effect of the long-range Coulomb force which favours the break-up of the highly excited nucleus into two large fragments (pseudo-fission) and, to a somewhat lesser extent, enhances the possibility for the cracking of the nucleus into more than two large fragments. The fission events are, however, clearly separated from a second branch of critical correlations which shows up clearly in both nuclear fragmentation and percolation. We think that this critical correlation branch is due to the liquid-gas phase transition in finite nuclei.

AB - The distributions of fragments produced by microcanonical multifragmentation of hot nuclei are compared with the cluster distributions predicted by a bond percolation model on a finite lattice. The conditional moments of these distributions are used together with the correlations between the largest three fragments in each event. Whereas percolation and statistical nuclear fragmentation agree in many details as in the usual plots of the averaged moments of the fragment distributions which yield the critical exponents, they turn out to be essentially different when less averaged quantities or correlations are considered. The differences between the predictions of the two models are mainly due to the particularities of the nuclear problem, especially the effect of the long-range Coulomb force which favours the break-up of the highly excited nucleus into two large fragments (pseudo-fission) and, to a somewhat lesser extent, enhances the possibility for the cracking of the nucleus into more than two large fragments. The fission events are, however, clearly separated from a second branch of critical correlations which shows up clearly in both nuclear fragmentation and percolation. We think that this critical correlation branch is due to the liquid-gas phase transition in finite nuclei.

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U2 - 10.1016/0375-9474(90)90074-V

DO - 10.1016/0375-9474(90)90074-V

M3 - Article

VL - 514

SP - 327

EP - 338

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

IS - 2

ER -