Hydrodynamic Models with Quantum Corrections

被引:0
作者
Giuseppe Alì
Omar Morandi
机构
[1] Università della Calabria,Dipartimento di Fisica
[2] and INFN-Gruppo c. Cosenza,undefined
[3] Institut de Physique et Chimie des Matériaux de Strasbourg,undefined
来源
Acta Applicandae Mathematicae | 2014年 / 132卷
关键词
Hydrodynamical models; Quantum-corrected Liouville model;
D O I
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中图分类号
学科分类号
摘要
We derive a quantum-corrected hydrodynamic and drift-diffusion model for the out-of-equilibrium particle dynamics in the presence of particle collisions, modeled by a BGK collision term. The quantum mechanical corrections are obtained within the Liouville formalism and are expressed by an effective nonlinear force. The Boltzmann and Fermi-Dirac statistics are included.
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页码:3 / 14
页数:11
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共 33 条
[1]  
Alì G.(2012)A hydrodynamic model for covalent semiconductors with applications to GaN and SiC Acta Appl. Math. 122 335-undefined
[2]  
Mascali G.(1995)Improved hydrodynamical model for carrier transport in semiconductors Phys. Rev. B 51 16728-undefined
[3]  
Romano V.(2004)Semicontinuous kinetic theory of the relaxation of electrons in GaAs Transp. Theory Stat. Phys. 33 429-undefined
[4]  
Torcasio R.C.(2010)Diffusive limit of the two-band k.p model for semiconductors J. Stat. Phys. 139 280-undefined
[5]  
Anile A.M.(2005)Quantum energy-transport and drift-diffusion models J. Stat. Phys. 118 625-undefined
[6]  
Muscato O.(2006)Derivation of new quantum hydrodynamic equations using entropy minimization SIAM J. Appl. Math. 67 46-undefined
[7]  
Auer C.(2007)A quantum kinetic approach for modeling a two-band resonant tunneling diode Transp. Theory Stat. Phys. 36 159-undefined
[8]  
Schürrer F.(2009)Exact maximum entropy closure of the hydrodynamical model for Si semiconductors: the 8-moment case SIAM J. Appl. Math. 70 710-undefined
[9]  
Barletti L.(1995)Theory and application of the quantum phase-space distribution functions Phys. Rep. 259 147-undefined
[10]  
Frosali G.(2010)Quantum drift-diffusion modeling of spin transport in nanostructures J. Math. Phys. 51 36530-undefined