Quantum hydrodynamics for semiconductors in the high-field case

P. Markowich, Christian Ringhofer

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We derive a quantum hydrodynamic model from a relaxation time approximation of the quantum Boltzmann equation by mean-free path asymptotics. The (formal) asymptotics are carried out in the case of a large electric field. They give a linear model for the position, current and energy densities of the electron gas.

Original languageEnglish (US)
Pages (from-to)37-41
Number of pages5
JournalApplied Mathematics Letters
Volume7
Issue number5
DOIs
StatePublished - 1994

Fingerprint

Quantum Hydrodynamics
Semiconductors
Hydrodynamics
Semiconductor materials
Electron gas
Boltzmann equation
Hydrodynamic Model
Boltzmann Equation
Relaxation Time
Energy Density
Relaxation time
Linear Model
Electric Field
Electric fields
Electron
Path
Approximation
Gas

Keywords

  • Moment hierarchy
  • Quantum Boltzmann equation
  • Small mean free path asymptotics

ASJC Scopus subject areas

  • Computational Mechanics
  • Control and Systems Engineering
  • Applied Mathematics
  • Numerical Analysis

Cite this

Quantum hydrodynamics for semiconductors in the high-field case. / Markowich, P.; Ringhofer, Christian.

In: Applied Mathematics Letters, Vol. 7, No. 5, 1994, p. 37-41.

Research output: Contribution to journalArticle

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