Steady states and interface transmission conditions for heterogeneous quantum-classical 1-D hydrodynamic model of semiconductor devices

DOI10.1016/J.PHYSD.2012.08.012zbMath1271.82029OpenAlexW2015801028WikidataQ58619714 ScholiaQ58619714MaRDI QIDQ1938925

Bruno Rubino, Pierangelo Marcati, Federica Di Michele

Publication date: 26 February 2013

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2012.08.012

zbMATH Keywords

linear stability analysistransmission conditionshybrid model for semiconductorsmathematical models for semiconductorsquantum hydrodynamical models

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Statistical mechanics of semiconductors (82D37) Transport processes in time-dependent statistical mechanics (82C70) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (11)

Existence of solutions for a viscous hybrid quantum system for arbitrary large current density ⋮ Numerical investigations of dispersive shocks and spectral analysis for linearized quantum hydrodynamics ⋮ Existence of standing and traveling waves in quantum hydrodynamics with viscosity ⋮ Traveling waves for quantum hydrodynamics with nonlinear viscosity ⋮ The stationary solution of a one-dimensional bipolar quantum hydrodynamic model ⋮ Stationary solutions for a new hybrid quantum model for semiconductors with discontinuous pressure functional and relaxation time ⋮ Dispersive shocks in quantum hydrodynamics with viscosity ⋮ Stationary solution for transient quantum hydrodynamics with Bohmenian-type boundary conditions ⋮ Thermal equilibrium solution to new model of bipolar hybrid quantum hydrodynamics ⋮ Large time behavior of entropy solutions to one-dimensional unipolar hydrodynamic model for semiconductor devices ⋮ Spectral analysis of dispersive shocks for quantum hydrodynamics with nonlinear viscosity

Cites Work

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• A phase analysis of transonic solutions for the hydrodynamic semiconductor model
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