From Bloch model to the rate equations

DOI10.3934/dcds.2004.11.1zbMath1055.81079OpenAlexW2077778897WikidataQ107099884 ScholiaQ107099884MaRDI QIDQ1884493

Pierre Degond, Brigitte Bidégaray-Fesquet, Francois Castella

Publication date: 1 November 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2004.11.1

zbMATH Keywords

density matrixaveragingrate equationslinear Boltzmann equationBloch modelDiophantine estimates

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Quantum optics (81V80) Averaging method for ordinary differential equations (34C29) Atomic physics (81V45) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Diophantine inequalities (11D75) Molecular physics (81V55) Nuclear reactor theory; neutron transport (82D75) Asymptotic expansions of solutions to ordinary differential equations (34E05) Diophantine approximation in probabilistic number theory (11K60) Asymptotic theory for ordinary differential equations (34E99)

Related Items (3)

Diffusion dynamics of classical systems driven by an oscillatory force ⋮ Time averaging for the strongly confined nonlinear Schrödinger equation, using almost-periodicity ⋮ Large time dynamics of a classical system subject to a fast varying force

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