dorsal/arxiv
View SchemaGeneral response function for interacting quantum liquids
| Authors | Klaus Morawetz, Uwe Fuhrmann |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9907011 |
| URL | https://arxiv.org/abs/nucl-th/9907011 |
| DOI | 10.1103/PhysRevE.61.2272 |
| Journal | Phys.Rev.E61:2272-2280,2000 |
Abstract
Linearizing the appropriate kinetic equation we derive general response functions including selfconsistent mean fields or density functionals and collisional dissipative contributions. The latter ones are considered in relaxation time approximation conserving successively different balance equations. The effect of collisions is represented by correlation functions which are possible to calculate with the help of the finite temperature Lindhard RPA expression. The presented results are applicable to finite temperature response of interacting quantum systems if the quasiparticle or mean field energy is parameterized within Skyrme - type of functionals including density, current and energy dependencies which can be considered alternatively as density functionals. By this way we allow to share correlations between density functional and collisional dissipative contributions appropriate for the special treatment. We present results for collective modes like the plasmon in plasma systems and the giant resonance in nuclei. The collisions lead in general to an enhanced damping of collective modes. If the collision frequency is close to the frequency of the collective mode, resonance occurs and the collective mode is enhanced showing a collisional narrowing.
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"abstract": "Linearizing the appropriate kinetic equation we derive general response\nfunctions including selfconsistent mean fields or density functionals and\ncollisional dissipative contributions. The latter ones are considered in\nrelaxation time approximation conserving successively different balance\nequations. The effect of collisions is represented by correlation functions\nwhich are possible to calculate with the help of the finite temperature\nLindhard RPA expression. The presented results are applicable to finite\ntemperature response of interacting quantum systems if the quasiparticle or\nmean field energy is parameterized within Skyrme - type of functionals\nincluding density, current and energy dependencies which can be considered\nalternatively as density functionals. By this way we allow to share\ncorrelations between density functional and collisional dissipative\ncontributions appropriate for the special treatment. We present results for\ncollective modes like the plasmon in plasma systems and the giant resonance in\nnuclei. The collisions lead in general to an enhanced damping of collective\nmodes. If the collision frequency is close to the frequency of the collective\nmode, resonance occurs and the collective mode is enhanced showing a\ncollisional narrowing.",
"arxiv_id": "nucl-th/9907011",
"authors": [
"Klaus Morawetz",
"Uwe Fuhrmann"
],
"categories": [
"nucl-th",
"cond-mat.str-el",
"physics.plasm-ph",
"quant-ph"
],
"doi": "10.1103/PhysRevE.61.2272",
"journal_ref": "Phys.Rev.E61:2272-2280,2000",
"title": "General response function for interacting quantum liquids",
"url": "https://arxiv.org/abs/nucl-th/9907011"
},
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