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arXiv · 0709.2686

A Stochastic Mean-Field Approach For Nuclear Dynamics

Sakir Ayik
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Abstract

We propose a microscopic stochastic approach to improve description of nuclear dynamics beyond the mean-field approximation at low energies. It is shown that, for small amplitude fluctuations, the proposed model gives a result for the dispersion of a one-body observable that is identical to the result obtained previously through a variational approach. Furthermore, by projecting the proposed stochastic mean-field evolution on a collective path, a generalized Langevin equation is derived for collective variable, which incorporate one-body dissipation and one-body fluctuation mechanism in accordance with quantal fluctuation-dissipation relation.

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Sakir Ayik. 2007-09-17. A Stochastic Mean-Field Approach For Nuclear Dynamics. https://doi.org/10.1016/j.physletb.2007.09.072

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