Long and short time quantum dynamics: II. Kinetic regime

Non-equilibrium Green's functions reduce to quantum kinetic equations in the kinetic regime, that is, if the quasi-classical, quasi-particle picture is valid. The classical tool yielding the kinetic equations, the Kadanoff–Baym Ansatz, has been improved and generalized to a whole Ansatz family...

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Published in:Physica. E, Low-dimensional systems & nanostructures Low-dimensional systems & nanostructures, 2005-10, Vol.29 (1), p.175-195
Main Authors: SPICKA, Vaclav, VELICKY, Bedrich, KALVOVA, Andela
Format: Article
Language:English
Subjects:
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Electronic transport in condensed matter
Exact sciences and technology
General formulation of transport theory
Green functions
Non-equilibrium
Physics
Quantum transport
Quantum transport equations
Quasi-particles
Statistical physics, thermodynamics, and nonlinear dynamical systems
Theory of electronic transport
scattering mechanisms
Transport processes
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Summary:Non-equilibrium Green's functions reduce to quantum kinetic equations in the kinetic regime, that is, if the quasi-classical, quasi-particle picture is valid. The classical tool yielding the kinetic equations, the Kadanoff–Baym Ansatz, has been improved and generalized to a whole Ansatz family including the so-called extended quasi-particle approximation. Each Ansatz produces a quantum kinetic theory: a quasi-particle kinetic equation and a functional of the quasi-particle distribution returning the average values of observables. In the extended quasi-particle model, the theory is physically consistent: causal, gauge invariant and conserving. This model leads to kinetic equations for dense Fermi liquids which combine the Landau quasi-particle drift with non-local scattering integrals in the spirit of the Enskog equation.
ISSN:1386-9477
1873-1759
DOI:10.1016/j.physe.2005.05.015