QUANTUM - HYDRODYNAMICS PAPERS:

 

C. Ringhofer: Sub - band diffusion models for quantum transport in a strong force regime, submitted, SIAP, 2009.

J.-P. Bourgade, P. Degond, F. Mehats, C. Ringhofer:
On quantum extensions to classical Spherical Harmonics Expansion / Fokker-Planck models

Journal of Mathematical Physics, 47: 043302 (1-26) , 2006.

P. Degond, F. Mehats, C. Ringhofer: "Quantum hydrodynamic models derived from the entropy principle"
to appear, Contmporary Mathematics. 2004 (PDF)

P. Degond, F. Mehats, C. Ringhofer: "Quantum Energy-Transport and Drift-Diffusion models"
Journal Stat. Phys. 118:625-667,  2005 (PDF)

P. Degond, C. Ringhofer: "Quantum moment hydrodynamics and the entropy principle"
 Journal Stat. Phys. 112(3): 587-628; Aug 2003 (PDF).

P. Degond, C. Ringhofer: "A note on quantum moment hydrodynamics and the entropy principle"
Compte  Rendu  Acad. Sci. Paris Ser. I 335, pp. 967-972(2002). (PDF-file)

<>P. Degond, C. Ringhofer: "A note on binary quantum collision operators conserving mass, momentum and energy"
Compte  Rendu  Acad. Sci Paris, Ser I, 336, pp. 785--790  (2003). (PDF-file)

C. L. Gardner, G. Klimeck, and C. Ringhofe
``Smooth Quantum Hydrodynamic Model vs. NEMO Simulation of Resonant Tunneling Diodes,'' ,
Journal of Computational Electronics. 3(2):95-102, 2004.   PDF


<> C.
L. Gardner and C. Ringhofer:``Dispersive/Hyperbolic Hydrodynamic Models for

 
Quantum Transport in Semiconductor Devices'' , IMA Volumes in
Mathematics and its Applications 136, pp. 91-107 (2004). (gzipped PostScript)

Gardner C., Ringhofer C.: "The Chapman-Enskog Expansion and the Quantum Hydrodynamic
Model for Semiconductor Devices", VLSI Design  10, pp. 415-435(2000).

 Gardner C., Ringhofer C.    ``Resonant Tunneling in the Smooth Quantum Hydrodynamic
Model for Semiconductor Devices" ,Transport Theory and Statistical Physics 29,pp. 563-570 (2000).
(Link to co-author's homepage)

Gardner C., Ringhofer C.:``Numerical Simulation of the Smooth Quantum Hydrodynamic

 
 Model for Semiconductor Devices,'' , Computer Methods in Applied Mechanics and
 Engineering 181 (2000) 393-401. (gzipped PS).

N. benAbdallah, O. Pinaud, C. L. Gardner, and C. Ringhofer,:
"A Comparison of Resonant Tunneling Based on Schrödinger's Equation and Quantum Hydrodynamics,''
VLSI Design 15, pp.:695-700, 2003.
 

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