Fermionic Molecular Dynamics

Abstract

A quantum molecular model for fermions is investigated which works with antisymmetrized many-body states composed of localized single-particle wave packets. The application to the description of atomic nuclei and collisions between them shows that the model is capable to address a rich variety of observed phenomena. Among them are shell effects, cluster structure and intrinsic deformation in ground states of nuclei as well as fusion, incomplete fusion, dissipative binary collisions and multifragmentation in reactions depending on impact parameter and beam energy. Thermodynamic properties studied with long time simulations proof that the model obeys Fermi-Dirac statistics and time averaging is equivalent to ensemble averaging. A first order liquid-gas phase transition is observed at a boiling temperature of $T\approx 5MeV$ for finite nuclei of mass $\mathrm{16...40}$.

61 pages, several postscript figures, uses 'epsfig.sty'. Report to be published in Prog. Part. Nucl. Phys. 39. More information available at http://www.gsi.de/~schnack/fmd.html

References in corpus (1)

• Statistical Properties of Fermionic Molecular Dynamics

Cited by in corpus (29)

• Molecular Dynamics for Fermions
• An Improved Quantum Molecular Dynamics Model and its Applications to Fusion Reaction near Barrier
• Shannon Information Entropy in Heavy-ion Collisions
• Nuclear Structure based on Correlated Realistic Nucleon-Nucleon Potentials
• The many facets of the (non relativistic) Nuclear Equation of State
• Microscopic model approaches to fragmentation of nuclei and phase transitions in nuclear matter
• Temperatures of Exploding Nuclei
• Progress of Quantum Molecular Dynamics model and its applications in Heavy Ion Collisions
• Fresnel Representation of the Wigner Function: An Operational Approach
• The nuclear liquid-gas phase transition within Fermionic Molecular Dynamics
• Dynamic study on fusion reactions for ${}^{40,48}$Ca+${}^{90,96}$Zr around Coulomb barrier
• Liquid-Gas Phase Transition of Supernova Matter and Its Relation to Nucleosynthesis
• Thermodynamics of the harmonic oscillator using coherent states
• Emergence of clusters: Halos, Efimov states, and experimental signals
• Time-dependent exchange and tunneling: detection at the same place of two electrons emitted simultaneously from different sources
• Statistical Models of Nuclear Fragmentation
• Quantum Statistical Model of Nuclear Multifragmentation in the Canonical Ensemble Method
• Breakup Conditions of Projectile Spectators from Dynamical Observables
• Connection between the Largest Lyapunov Exponent, Density Fluctuation and Multifragmentation in Excited Nuclear Systems
• Density fluctuations and multifragmentation of nuclear matter
• Molecular dynamics investigations on a quantum system in a thermostat
• Nuclear Multifragmentation in the Non-extensive Statistics - Canonical Formulation
• A combined mean-field and three-body model tested on the ${}^{26}$O-nucleus
• Semiclassical expansion of quantum characteristics for many-body potential scattering problem
• Fragment Multiplicity Distributions, a Signal of True Nuclear Multifragmentation
• Local alpha-removal strength in the mean-field approximation
• Size Matters: Origin of Binomial Scaling in Nuclear Fragmentation Experiments
• Towards Microscopic Ab Initio Calculations of Astrophysical S-Factors
• Alpha Cluster Model of Atomic Nuclei