Inhomogeneity growth in two-component fermionic systems

Abstract

The dynamics of fermionic many-body systems is investigated in the framework of Boltzmann-Langevin (BL) stochastic one-body approaches. Within the recently introduced BLOB model, we examine the interplay between mean-field effects and two-body correlations, of stochastic nature, for nuclear matter at moderate temperature and in several density conditions, corresponding to stable or mechanically unstable situations. Numerical results are compared to analytic expectations for the fluctuation amplitude of isoscalar and isovector densities, probing the link to the properties of the employed effective interaction, namely symmetry energy (for isovector modes) and incompressibility (for isoscalar modes). For unstable systems, clusterization is observed. The associated features are compared to analytical results for the typical length and time scales characterizing the growth of unstable modes in nuclear matter and for the isotopic variance of the emerging fragments. We show that the BLOB model is generally better suited than simplified approaches previously introduced to solve the BL equation, and it is therefore more advantageous in applications to open systems, like heavy ion collisions.

19 pages, 13 figures

References in corpus (40)

• Many-Body Physics with Ultracold Gases
• Reaction Dynamics with Exotic Beams
• Laser-driven nonlinear cluster dynamics
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions
• Microscopic approach of fission dynamics applied to fragment kinetic energy and mass distributions in 238U
• Nuclear multifragmentation and phase transition for hot nuclei
• Nuclear Pasta Formation
• Stochastic quantum dynamics beyond mean-field
• Evidence for Spinodal Decomposition in Nuclear Multifragmentation
• Bifurcations in Boltzmann-Langevin One Body dynamics for fermionic systems
• Fragment Charge Correlations and Spinodal Decomposition in Finite Nuclear Systems
• Quadrupole resonances in unstable oxygen isotopes in time-dependent density-matrix formalism
• Effects of the liquid-gas phase transition and cluster formation on the symmetry energy
• Fluctuations and Symmetry Energy in Nuclear Fragmentation Dynamics
• Isospin Distillation with Radial Flow: a Test of the Nuclear Symmetry Energy
• A new approach to solve the Boltzmann-Langevin equation for fermionic systems
• Frustrated fragmentation and re-aggregation in nuclei: a non-equilibrium description in spallation
• Two-body dissipation effects on synthesis of superheavy elements
• Progress in Many Body Theory with the Equation of Motion method. Time dependent Density Matrix meets Self-Consistent RPA. Applications to solvable Models
• Isospin fractionation : equilibrium versus spinodal decomposition
• Medium corrections in the formation of light charged particles in heavy ion reactions
• Dynamics of Fragment Formation in the Nuclear Spinodal Region
• New isospin e ffects in central heavy-ion collisions at Fermi energies
• Event simulations in a transport model for intermediate energy heavy ion collisions: Applications to multiplicity distributions
• Stability and instability of a hot and dilute nuclear droplet
• Links Between Heavy Ion and Astrophysics
• Theoretical predictions of experimental observables sensitive to the symmetry energy: Results of the SMF transport model
• Isospin effects and symmetry energy studies with INDRA
• A simplified BBGKY hierarchy for correlated fermionic systems from a Stochastic Mean-Field approach
• Fragment size correlations in finite systems - application to nuclear multifragmentation
• Quantal Effects on Spinodal Instabilities in Charge Asymmetric Nuclear Matter
• Stochastic TDHF in an exactly solvable model
• Density fluctuations and multifragmentation of nuclear matter
• Pairing effects on neutrino transport in low-density stellar matter
• Low density instability in a nuclear Fermi liquid drop
• Microscopic approaches for nuclear Many-Body dynamics: applications to nuclear reactions
• Strongly damped nuclear collisions: zero or first sound ?
• Dynamical description of heavy-ion collisions at Fermi energies
• Large amplitude collective dynamic beyond the independent particle/quasiparticle picture
• Mean-field instabilities and cluster formation in nuclear reactions

Cited by in corpus (8)

• Liquid-Gas phase transition in nuclei
• Collision dynamics at medium and relativistic energies
• Phase transition dynamics for hot nuclei
• Nuclear jets in heavy-ion collisions recall a stream of sand
• Cluster formation in nuclear reactions from mean-field inhomogeneities
• Dynamic description of ternary and quaternary splits of heavy nuclear systems in the deep-inelastic regime
• Violent Nuclear Reactions: Large-Amplitude Nuclear Dynamic Phenomena in Fermionic Systems
• Transport Model Comparison Studies of Intermediate-Energy Heavy-Ion Collisions