Statistical Properties of Fermionic Molecular Dynamics

Abstract

Statistical properties of Fermionic Molecular Dynamics are studied. It is shown that, although the centroids of the single--particle wave--packets follow classical trajectories in the case of a harmonic oscillator potential, the equilibrium properties of the system are the quantum mechanical ones. A system of weakly interacting fermions as well as of distinguishable particles is found to be ergodic and the time--averaged occupation probabilities approach the quantum canonical ones of Fermi--Dirac and Boltzmann statistics, respectively.

16 pages, several postscript figures, uses 'epsfig.sty'. More information is available at http://www.gsi.de/~schnack/fmd.html

References in corpus (1)

• INCORPORATION OF QUANTUM STATISTICAL FEATURES IN MOLECULAR DYNAMICS

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• Quantum Fluctuation Effects on Nuclear Fragment Formation
• Thermodynamics of the harmonic oscillator using coherent states
• Real-time evolution method and its application to 3$\alpha$ cluster system
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• Quantum fluctuation effects on hyperfragment formation from Xi^- absorption at rest on 12C
• Fragments in Gaussian Wave-Packet Dynamics with and without correlations
• Explicit Solution of the Time Evolution of the Wigner Function
• Classical statistical mechanics of a few-body interacting spin model
• Probing the edge between integrability and quantum chaos in interacting few-atom systems
• How many particles make up a chaotic many-body quantum system?
• Molecular dynamics investigations on a quantum system in a thermostat
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• Observation of phase synchronization and alignment during free induction decay of quantum spins with Heisenberg interactions
• Permanent oscillations and solitary wave behavior in flatband Heisenberg quantum spin systems
• Escaping the Krylov space during finite precision Lanczos
• Non-ergodic one-magnon magnetization dynamics of the kagome lattice antiferromagnet