Hydrodynamic models with quantum corrections

DOI10.1007/s10440-014-9887-yzbMath1305.81017OpenAlexW2070500975MaRDI QIDQ404802

Omar Morandi, Giuseppe Alì

Publication date: 4 September 2014

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-014-9887-y

zbMATH Keywords

hydrodynamical modelsquantum-corrected Liouville model

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15)

Related Items (1)

Index-aware model-order reduction for a special class of nonlinear differential-algebraic equations

Cites Work

• Diffusive limit of the two-band \(k\cdot p\) model for semiconductors
• Quantum energy-transport and drift-diffusion models
• A hydrodynamic model for covalent semiconductors with applications to GaN and SiC
• Quantum corrected Liouville model: Mathematical analysis
• Quantum electronic transport in graphene: A kinetic and fluid-dynamic approach
• Wigner model for quantum transport in graphene
• A thermodynamic framework for hydrodynamical models of carrier transport in semiconductors
• Derivation of New Quantum Hydrodynamic Equations Using Entropy Minimization
• Quantum hydrodynamic models from a maximum entropy principle
• Exact Maximum Entropy Closure of the Hydrodynamical Model for Si Semiconductors: The 8-Moment Case
• Effective classical Liouville-like evolution equation for the quantum phase-space dynamics
• Quantum drift-diffusion modeling of spin transport in nanostructures
• Semicontinuous Kinetic Theory of the Relaxation of Electrons in GaAs
• A quantum kinetic approach for modeling a two‐band resonant tunneling diode

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