A self-consistent treatment of the dynamics of stable and unstable collective modes

1997/02/12 by H. Hofmann, Hofmann, H., D. Kiderlen +1
Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/9702029

26 pages, Latex, 7 Postscript figures; submitted to PRE; e-mail: [email protected] www home page: http://www.physik.tu-muenchen.de/tumphy/e/T36/hofmann.html

arxiv created 1997/02/12 · arxiv updated 2009/12/01

Abstract

We address the dynamics of damped collective modes in terms of first and second moments. The modes are introduced in a self-consistent fashion with the help of a suitable application of linear response theory. Quantum effects in the fluctuations are governed by diffusion coefficients D_μν. The latter are obtained through a fluctuation dissipation theorem generalized to allow for a treatment of unstable modes. Numerical evaluations of the D_μν are presented. We discuss briefly how this picture may be used to describe global motion within a locally harmonic approximation.

Related

• Quantum Dissipation
• Self-consistent theory of large amplitude collective motion: Applications to approximate quantization of non-separable systems and to nuclear physics
• Large amplitude collective dynamic beyond the independent particle/quasiparticle picture
• Linear Response, Dynamical Friction and the Fluctuation-Dissipation Theorem in Stellar Dynamics
• Collective dynamics of identical phase oscillators with high-order coupling