Spinodal decomposition of expanding nuclear matter and multifragmentation

Matera, F.; A., A. Dellafiore; Fabbri, G.

doi:10.1103/physrevc.67.034608

Cited by 4 publications

(5 citation statements)

References 23 publications

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“…For the dynamical correlation length we have chosen the value L = 1.3 r 0 . This value corresponds to the effective exponent τ ef f = 1.65 of the power law Y (Z) = Y 0 Z −τ ef f for fragment distribution [15]. In the figure we display the results obtained with the "superstiff" asymmetry term and with the "soft" asymmetry term N-Z…”

Section: Resultsmentioning

confidence: 99%

“…The procedure to determine its value has been extensively discussed in Refs. [14,15]. Here, we focus our attention on the calculation of the parameter γ (t) characterizing the widths of the isotopic distributions.…”

Section: Resultsmentioning

confidence: 99%

“…Each single factor corresponds to the stochastic process of Eq. ( 5) for a given wave number k [14,15], with the covariance matrix…”

Section: Isoscalar-like Fluctuationsmentioning

confidence: 99%

“…This approach is a generalization to include the isospin degree of freedom, of the model developed in Refs. [14,15] for symmetric nuclear matter basically. This gives rise to a substantial improvement of the model, with new valuable results.…”

Section: Introductionmentioning

confidence: 99%

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Isospin fluctuations in spinodal decomposition

Colonna

Matera

2005

Phys. Rev. C

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We study the isospin dynamics in fragment formation within the framework of an analytical model based on the spinodal decomposition scenario. We calculate the probability to obtain fragments with given charge and neutron number, focussing on the derivation of the width of the isotopic distributions. Within our approach this is determined by the dispersion of N/Z among the leading unstable modes, due to the competition between Coulomb and symmetry energy effects, and by isovector-like fluctuations present in the matter that undergoes the spinodal decomposition. Hence the widths exhibit a clear dependence on the properties of the Equation of State. By comparing two systems with different values of the charge asymmetry we find that the isotopic distributions reproduce an isoscaling relationship.Comment: 18 RevTex4 pages, 6 eps figure

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

“…Each single factor corresponds to the stochastic process of Eq. ( 5) for a given wave number k [14,15], with the covariance matrix…”

Section: Isoscalar-like Fluctuationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Isospin fluctuations in spinodal decomposition

Colonna

Matera

2005

Phys. Rev. C

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“…where N is a normalization constant. Each single factor corresponds to a stochastic process for a given wave vector k [23,25]. The covariance matrix for the isoscalarlike fluctuations…”

Section: A Density Fluctuationsmentioning

confidence: 99%

Density dependence of isospin observables in spinodal decomposition

Colonna

Matera

2008

Phys. Rev. C

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Isotopic fluctuations in fragment formation are investigated in a quasi-analytical description of the spinodal decomposition scenario. By exploiting the fluctuation-dissipation relations the covariance matrix of density fluctuations is derived as a function of the wave vector for nuclear matter at given values of density, charge asymmetry, temperature, and of the time that the system spends in the instability region. Then density fluctuations in ordinary space are implemented with a Fourier transform performed in a finite cubic lattice. Inside this box, domains with different density coexist, from which clusters of nucleons eventually emerge. Within our approach, the isotopic distributions are determined by the N/Z ratio of the leading unstable isoscalarlike mode and by isovectorlike fluctuations present in the matter undergoing the spinodal decomposition. Hence the average value of the N/Z ratio of clusters and the width of the relative distribution reflect the properties of the symmetry energy. Generating a large number of events, these calculations allow a careful investigation of the cluster isotopic content as a function of the cluster density. A uniform decrease of the average charge asymmetry and of the width of the isotopic distributions with increasing density is observed. Finally we remark that the results essentially refer to the early break--up of the system.Comment: Revtex4, 19 pages, 8 eps figures, to be published in Phys. Rev.

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Fragmentation path of excited nuclear systems

et al. 2004

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We perform a study of the fragmentation path of excited nuclear sources, within the framework of a stochastic mean-field approach. We consider the reaction 129 Xe + 119 Sn at two beam energies: 32 and 50 MeV/A, for central collisions. It is observed that, after the compression phase the system expands towards a dilute configuration from which it may recontract or evolve into a bubble-like structure. Then fragments are formed through the development of volume and/or surface instabilities. The two possibilities co-exist at 32 MeV/A, leading to quite different fragment partitions, while at 50 MeV/A the hollow configuration is observed in all events. Large variances are recovered in a way fully consistent with the presence of spinodal decomposition remnants. Kinematical properties of fragments are discussed and suggested as observables very sensitive to the dominant fragment production mechanism. A larger radial collective flow is observed at 50 MeV/A, in agreement with experiments.

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Spinodal decomposition of expanding nuclear matter and multifragmentation

Cited by 4 publications

References 23 publications

Isospin fluctuations in spinodal decomposition

Isospin fluctuations in spinodal decomposition

Density dependence of isospin observables in spinodal decomposition

Fragmentation path of excited nuclear systems

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