## Projection-operator approach to master equations for coarse-grained occupation numbers in nonideal quantum gases

Autor(en): | Bartsch, Christian Steinigeweg, Robin Gemmer, Jochen |

Stichwörter: | DERIVATION; IMPURITIES; LOCALIZATION; Physics; Physics, Fluids & Plasmas; Physics, Mathematical; RESIDUAL RESISTIVITY; TRANSPORT |

Erscheinungsdatum: | 2010 |

Herausgeber: | AMER PHYSICAL SOC |

Journal: | PHYSICAL REVIEW E |

Volumen: | 81 |

Ausgabe: | 5, 1 |

Zusammenfassung: | We aim at deriving an equation of motion for specific sums of momentum mode occupation numbers from models for electrons in periodic lattices experiencing elastic scattering, electron-phonon scattering, or electron-electron scattering. These sums correspond to ``grains'' in momentum space. This equation of motion is supposed to involve only a moderate number of dynamical variables and/or exhibit a sufficiently simple structure such that neither its construction nor its analyzation or solution requires substantial numerical effort. To this end we compute, by means of a projection operator technique, a linear(ized) collision term which determines the dynamics of the above grain sums. This collision term results as nonsingular finite-dimensional rate matrix and may thus be inverted regardless of any symmetry of the underlying model. This facilitates calculations of, e. g., transport coefficients, as we demonstrate for a three-dimensional Anderson model featuring weak disorder. |

ISSN: | 15393755 |

DOI: | 10.1103/PhysRevE.81.051115 |

Show full item record