Numerical analysis of non-Markovian effects in charge-carrier scattering: One-time versus two-time kinetic equations

M. Bonitz, D. Kremp, D. C. Scott, Rudolf Binder, W. D. Kraeft, H. S. Köhler

Research output: Contribution to journalArticle

86 Citations (Scopus)

Abstract

The non-Markovian carrier-carrier scattering dynamics in a dense electron gas is investigated. Within the framework of quantum kinetic equations in the second Born approximation we study the relevance of retardation (memory) effects, energy broadening and correlation build-up for femtosecond relaxation processes. Furthermore, the important issue of total energy conservation, within various well-established approximation schemes, is analysed. The most important non-Markovian effect is shown to be the broadening of the energy delta function leading to an increase of kinetic energy with time. Our numerical analysis includes both the single-time kinetic equation and the full two-time Kadanoff-Baym equations. Our results are expected to correctly reproduce qualitative features of non-Markovian dynamics in plasmas, fluids, nuclear matter and in the intraband relaxation of semiconductors. The comparison of the exact solutions for different approximations allows suggestions for simplifications that make this kind of calculation and their extension, especially to realistic semiconductor situations, more feasible.

Original languageEnglish (US)
Pages (from-to)6057-6071
Number of pages15
JournalJournal of Physics Condensed Matter
Volume8
Issue number33
DOIs
StatePublished - Aug 12 1996

Fingerprint

Charge carriers
kinetic equations
numerical analysis
Numerical analysis
charge carriers
Scattering
Semiconductor materials
Delta functions
Born approximation
Electron gas
Kinetics
Relaxation processes
scattering
Kinetic energy
Energy conservation
delta function
energy conservation
simplification
approximation
Plasmas

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Numerical analysis of non-Markovian effects in charge-carrier scattering : One-time versus two-time kinetic equations. / Bonitz, M.; Kremp, D.; Scott, D. C.; Binder, Rudolf; Kraeft, W. D.; Köhler, H. S.

In: Journal of Physics Condensed Matter, Vol. 8, No. 33, 12.08.1996, p. 6057-6071.

Research output: Contribution to journalArticle

Bonitz, M. ; Kremp, D. ; Scott, D. C. ; Binder, Rudolf ; Kraeft, W. D. ; Köhler, H. S. / Numerical analysis of non-Markovian effects in charge-carrier scattering : One-time versus two-time kinetic equations. In: Journal of Physics Condensed Matter. 1996 ; Vol. 8, No. 33. pp. 6057-6071.
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