Quantum hydrodynamic for semiconductors in the high-field case

DOI10.1016/0893-9659(94)90069-8zbMath0814.35128OpenAlexW2062605931WikidataQ126977510 ScholiaQ126977510MaRDI QIDQ1343525

Christian Ringhofer, Peter Alexander Markowich

Publication date: 19 January 1995

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(94)90069-8

zbMATH Keywords

quantum Boltzmann equationmoment hierarchysmall mean free path asymptotics

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items

High-electric-field limit for the Vlasov-Maxwell-Fokker-Planck system, Multidimensional high-field limit of the electrostatic Vlasov-Poisson-Fokker-Planck system, Existence and stability of steady-state of one-dimensional quantum hydrodynamic system for semiconductors, On the finite energy weak solutions to a system in quantum fluid dynamics

Cites Work

• Unnamed Item
• Derivation of a hydrodynamic system hierarchy for semiconductors from the Boltzmann equation
• On Wigner measures
• THE ONE-DIMENSIONAL PERIODIC BLOCH-POISSON EQUATION
• THE CLASSICAL LIMIT OF A SELF-CONSISTENT QUANTUM-VLASOV EQUATION IN 3D
• The Wigner function for thermal equilibrium