Numerical method for hydrodynamic modulation equations describing Bloch oscillations in semiconductor superlattices

DOI10.1016/J.JCP.2012.02.024zbMath1245.76078arXiv1205.1292OpenAlexW2008560541MaRDI QIDQ440652

Luis L. Bonilla, Manuel Carretero, Mariano Alvaro

Publication date: 19 August 2012

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1292

zbMATH Keywords

Bloch oscillationsnonlocal hydrodynamic equationsself-sustained current oscillationssemiconductor superlatticespurious convection

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Statistical mechanics of semiconductors (82D37)

Related Items (1)

Finite difference numerical method for the superlattice Boltzmann transport equation and case comparison of CPU(C) and GPU(CUDA) implementations

Cites Work

• Self-sustained current oscillations in the kinetic theory of semiconductor superlattices
• Kinetic relaxation models for energy transport
• On quantum hydrodynamic and quantum energy transport models
• Numerical Study of Hyperbolic Equations with Integral Constraints Arising in Semiconductor Theory
• A theory of the electrical breakdown of solid dielectrics

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