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MS 1 MINISYMPOSIUM: ADVANCED IMAGING FOR INDUSTRIAL APPLICATION Read chapter Read first chapter

2016 | Supplement | Chapter

Derivation of a Hydrodynamic Model for Electron Transport in Graphene via Entropy Maximization

Author : L. Barletti

Published in: Progress in Industrial Mathematics at ECMI 2014

Publisher: Springer International Publishing

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Abstract

In this contribution, which is based on the results published in Barletti (J Math Phys 55:083303, 2014) and Barletti et al. (Tr Inst Mat 11:11–29, 2014), we apply the maximum entropy closure technique in order to derive equations of hydrodynamic type for a system of particles with spin-orbit interaction, with particular focus on the case of electrons on a graphene sheet.

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previous chapter An Electro-Thermal Hydrodynamical Model for Charge Transport in Graphene
next chapter Deterministic Solutions of the Transport Equation for Charge Carrier in Graphene
Literature
1.
Barletti, L.: Hydrodynamic equations for electrons in graphene obtained from the maximum entropy principle. J. Math. Phys. 55, 083303 (2014)MathSciNetCrossRefMATH
2.
Barletti, L., Méhats, F.: Quantum drift-diffusion modeling of spin transport in nanostructures. J. Math. Phys. 51, 053304 (2010)MathSciNetCrossRefMATH
3.
Barletti, L., Borgioli, G., Frosali, G.: Semiclassical hydrodynamics of a quantum Kane model for semiconductors. Tr. Inst. Mat. 11, 11–29 (2014)MATH
4.
Barletti, L., Frosali, G., Morandi, O.: Kinetic and hydrodynamic models for multi-band quantum transport in crystals. In: Ehrhardt, M., Koprucki, T. (eds.) Multi-Band Effective Mass Approximations: Advanced Mathematical Models and Numerical Techniques. Springer, Berlin (2014)
5.
6.
Castro Neto, A.H., Guinea, F., Peres, N.M.R., Novoselov, K.S., Geim, A.K.: The electronic properties of graphene. Rev. Mod. Phys. 81, 109–162 (2009)CrossRef
7.
Morandi, O.: Wigner-function formalism applied to the Zener band transition in a semiconductor. Phys. Rev. B 80, 02430 (2009)CrossRef
8.
Morandi, O., Barletti, L.: Particle dynamics in graphene: collimated beam limit. J. Comput. Theor. Transp. 43, 1–15 (2014)MathSciNetCrossRef
9.
Metadata
Title
Derivation of a Hydrodynamic Model for Electron Transport in Graphene via Entropy Maximization
Author
L. Barletti
Copyright Year
2016
Book
Progress in Industrial Mathematics at ECMI 2014

Print ISBN: 978-3-319-23412-0

Electronic ISBN: 978-3-319-23413-7

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-23413-7_101

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