Isospin fluctuations in spinodal decomposition

Abstract

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.

arXiv comment18 RevTex4 pages, 6 eps figures

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Cited by in corpus (10)

• Density dependence of the symmetry energy and the nuclear equation of state: A Dynamical and Statistical model perspective
• Experimental effects on dynamics and thermodynamics in nuclear reactions on the symmetry energy as seen by the CHIMERA 4$\pi$ detector
• Persistence of odd-even staggering in charged fragment yields from the 112Sn+58Ni collision at 35 MeV/nucleon
• Isospin fractionation : equilibrium versus spinodal decomposition
• Isospin dependent thermodynamics of fragmentation
• N and Z odd-even staggering in Kr + Sn collisions at Fermi energies
• Pairing effects on neutrino transport in low-density stellar matter
• Pairing effects on spinodal decomposition of asymmetric nuclear matter
• Methods for a quantitative evaluation of odd-even staggering effects
• Density dependence of isospin observables in spinodal decomposition