Introducing Physical Relaxation Terms in Bloch Equations

The Bloch equation models the evolution of the state of electrons in matter described by a Hamiltonian. To model more physical phenomena we have to introduce phenomenological relaxation terms. The introduction of these terms has to conserve some positiveness properties. The aim of this paper is to r...

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Bibliographic Details
Published in:Journal of computational physics 2001-07, Vol.170 (2), p.603-613
Main Authors: Bidégaray, B., Bourgeade, A., Reignier, D.
Format: Article
Language:English
Subjects:
Mathematical Physics
Mathematics
Numerical Analysis
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Summary:The Bloch equation models the evolution of the state of electrons in matter described by a Hamiltonian. To model more physical phenomena we have to introduce phenomenological relaxation terms. The introduction of these terms has to conserve some positiveness properties. The aim of this paper is to review possible relaxation models and to provide insight into how to discretize them properly in view of numerical computations.
ISSN:0021-9991
1090-2716
DOI:10.1006/jcph.2001.6752