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arXiv · 1104.1941

Equilibration in the time-dependent Hartree-Fock approach probed with the Wigner distribution function

N. Loebl·J. A. Maruhn·P. -G. Reinhard
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Abstract

Calculating the Wigner distribution function in the reaction plane, we are able to probe the phase-space behavior in time-dependent Hartree-Fock during a heavy-ion collision. We compare the Wigner distribution function with the smoothed Husimi distribution function. Observables are defined to give a quantitative measure for local and global equilibration. We present different reaction scenarios by analyzing central and non-central $^{16}O+$$^{16}O$ and $^{96}Zr+$$^{132}Zn$ collisions. It is shown that the initial phase-space volumes of the fragments barely merge. The mean values of the observables are conserved in fusion reactions and indicate a "memory effect" in time-dependent Hartree-Fock. We observe strong dissipation but no evidence for complete equilibration.

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N. Loebl, J. A. Maruhn, P. -G. Reinhard. 2011-04-08. Equilibration in the time-dependent Hartree-Fock approach probed with the Wigner distribution function. https://doi.org/10.1103/physrevc.84.034608

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