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X-Ray image of Crab Nebula Pulsar Credit: NASA/CXC/ASU/J. Hester et al.)

Molecular Dynamics Simulations of Non-uniform Dense Matter and Neutrino Interactions in Supernovae. Liliana Caballero With Pf. Horowitz. Indiana University NNPSS June/13/2005. X-Ray image of Crab Nebula Pulsar Credit: NASA/CXC/ASU/J. Hester et al.). Outline.

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X-Ray image of Crab Nebula Pulsar Credit: NASA/CXC/ASU/J. Hester et al.)

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  1. Molecular Dynamics Simulations of Non-uniform Dense Matter and Neutrino Interactions in Supernovae Liliana Caballero With Pf. Horowitz Indiana University NNPSS June/13/2005 X-Ray image of Crab Nebula Pulsar Credit: NASA/CXC/ASU/J. Hester et al.)

  2. Outline • Introduction: Supernova and Neutron Stars • Ion Response • Neutrino-Nucleus scattering • Model • Simulation Results • Future Work

  3. Supernova Neutrinos Collapse of a Massive Star Gravitational Force vs. Nuclear Fusion • Iron Core -> energy barrier->collapse • Most of the energy is lost by neutrino emission: p+e -> n+νe • Density increment->Strong Force & Fermi Degeneracy->Outward Pressure • Neutron Star SN1987A

  4. Mass= 1.4 Sun Mass Radius=10 km Image taken from Dany Pierre Page, Neutron Star (Theory) Group at UNAM

  5. r~1012 g/cm3 • Medium= Plasma Electrons and Nuclei • Neutrino Trapping in Supernova • Neutrino-Nucleus elastic scattering • Ion, Electron Screening have important effect Ion Response

  6. Ion Response • Linear Response -> Neutrino-Nucleus Elastic Cross Section: • Correlation Function g(r) • Static Structure Factor S(q) • Dynamic Structure Factor S(q,w)

  7. Correlation Function g(r) Probability of finding another ion a distance r from a given ion. r

  8. Static Structure Factor Charge Density Ground State

  9. Model • Classical Approximation • Ions interact via screened Coulomb potential le electron screening rij distance between Ions

  10. 1 1 L 2 2 Monte Carlo Simulation • T= 1 Mev • N ions • 56Fe • ρ =1x1012 g/cm3 • Periodic Boundary Conditions • ri at equilibrium, i=1,N

  11. Correlation Function N=1000 λe=10 fm L=382 fm

  12. Static Structure Factor N=1000 λe=10 fm L=382 fm

  13. Dynamic Response Dynamic Structure Factor

  14. Molecular Dynamics Algorithm • Verlet Algorithm

  15. Molecular Dynamic Simulation • T= 1 MeV • N ions • 56Fe • ρ =1x1012 g/cc • Periodic Boundary Condition • ri(t), i=1,N

  16. Dynamic Structure Factor N=500 λe=10 fm L=304 fm

  17. Peaks

  18. Future Work • Ion-Ion Screening model break down at large density • N=100000 nucleons MDGRAPE • Dynamical Response Pasta

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