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On the mathematical description of electrical processes in semiconductors. i. phase space analysis in subspaces of dimension lower than three
Author(s) -
Oberländer S.,
Sikorski S.
Publication year - 1968
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.19680250134
Subject(s) - mass action law , dimension (graph theory) , law of mass action , mathematics , phase space , semiconductor , action (physics) , linear subspace , space (punctuation) , statistical physics , mathematical analysis , physics , computer science , quantum mechanics , thermodynamics , pure mathematics , operating system
A theoretical study is made of the transport of non‐equilibrium carriers in semiconductors in the stationary case which includes arbitrary deviations from thermodynamic equilibrium. Classes of systems of solutions with various qualitative properties are given without approximation for the system of differential equations. The equations are the continuity equations with a recombination law based upon the law of mass action, and the common current equations and Poisson's equation. The systems of solutions are applicable to various problems in homogeneous semiconductors and inhomogeneous semiconductor devices. They offer possibilities of testing numerical methods and obtaining new approximate methods. Finally they lead to some remarks on the neutrality approximation.