dorsal/arxiv
View SchemaNonlocal kinetic theory
| Authors | Klaus Morawetz, Václav Špička, Pavel Lipavský |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9911066 |
| URL | https://arxiv.org/abs/quant-ph/9911066 |
| DOI | 10.1142/9789812792754_0054 |
Abstract
The short time behavior of a disturbed system is influenced by off-shell motion and best characterized by the reduced density matrix possessing high energetic tails. We present analytically the formation of correlations due to collisions in an interacting Fermionic system with and without initial correlation. After this short time regime the time evolution is controlled by small gradients. This leads to a nonlocal Boltzmann equation for the quasiparticle distribution and a functional relating the latter one to the reduced density matrix. The nonlocalities are presented as time and space shifts arising from gradient expansion and are leading to virial corrections in the thermodynamical limit.
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"abstract": "The short time behavior of a disturbed system is influenced by off-shell\nmotion and best characterized by the reduced density matrix possessing high\nenergetic tails. We present analytically the formation of correlations due to\ncollisions in an interacting Fermionic system with and without initial\ncorrelation. After this short time regime the time evolution is controlled by\nsmall gradients. This leads to a nonlocal Boltzmann equation for the\nquasiparticle distribution and a functional relating the latter one to the\nreduced density matrix. The nonlocalities are presented as time and space\nshifts arising from gradient expansion and are leading to virial corrections in\nthe thermodynamical limit.",
"arxiv_id": "quant-ph/9911066",
"authors": [
"Klaus Morawetz",
"V\u00e1clav \u0160pi\u010dka",
"Pavel Lipavsk\u00fd"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/9789812792754_0054",
"title": "Nonlocal kinetic theory",
"url": "https://arxiv.org/abs/quant-ph/9911066"
},
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