Summary
A reduction of the Kroemer’s model for the two-dimensional Gunn effect to a free boundary problem (FBP) is presented. The Gunn moving pulse is approximated far from the contacts by a moving free boundary separating regions where the electric potential solves a Laplace equation with subsidiary boundary conditions. We obtain the exact solution in simple one-dimensional and axisymmetric geometries. The agreement is excellent so that the FBP can be adopted as the basis for a general asymptotic study of the multi-dimensional Gunn effect.
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Escobedo, R., Bonilla, L.L., Higuera, F.J. (2004). Free Boundary Problems Describing Two-Dimensional Pulse Recycling and Motion in Semiconductors. In: Buikis, A., Čiegis, R., Fitt, A.D. (eds) Progress in Industrial Mathematics at ECMI 2002. The European Consortium for Mathematics in Industry, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09510-2_16
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DOI: https://doi.org/10.1007/978-3-662-09510-2_16
Publisher Name: Springer, Berlin, Heidelberg
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