REFERENCES
- Barletti, L. (2014). Hydrodynamic equations for electrons in graphene obtained from the maximum entropy principle. J. Math. Phys. 55:083303(21).
- Barletti, L., Frosali, G. (2010). Diffusive limit of the two-band k·p model for semiconductors. J. Stat. Phys. 139:280–306.
- Barletti, L., Frosali, G., Morandi, O. (2014). 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. Heidelberg: Springer Verlag.
- Bhatnagar, P.L., Gross, E.P., Krook, M. (1954). A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Phys. Rev. 94:511–525.
- Castro Neto, A.H., Guinea, F., Peres, N. M.R., Novoselov, K.S., Geim, A.K. (2009). The electronic properties of graphene. Rev. Mod. Phys. 81:109–162.
- Cheianov, V.V., Fal’ko, V., Altshuler, B.L. (2007). The focusing of electron flow and a Veselago lens in graphene. Science 315:1252–1255.
- Degond, P., Ringhofer, C. (2003). Quantum moment hydrodynamics and the entropy principle. J. Stat. Phys. 112(3–4): 587–628.
- Hu, J., Jin, S. (2011). On kinetic flux vector splitting schemes for quantum Euler equations. Kinetic and Related Models 4:517–530.
- Katsnelson, M.I., Novoselov, K.S., Geim, A.K. (2006). Chiral tunnelling and the Klein paradox in graphene. Nature Physics 2(9):620–625.
- Levermore, C.D. (1996). Moment closure hierarchies for kinetic theories. J. Stat. Phys. 83(5/6):1021–1065.
- Lichtenberger, P., Morandi, O., Schürrer, F. (2011). High field transport and optical phonon scattering in graphene. Phys. Rev. B 84:045406(7).
- Morandi, O. (2009). Wigner-function formalism applied to the Zener band transition in a semiconductor. Phys. Rev. B 80:024301(12).
- Morandi, O., Schürrer, F. (2011). Wigner model for quantum transport in graphene. J. Phys. A: Math. Theor. 44:265301(32).
- La Rosa, S., Mascali, G., Romano, V. (2009). Exact maximum entropy closure of the hydrodynamical model for Si semiconductors: the 8-moment case. Siam J. Appl. Math. 70(3): 710–734.
- Trovato, M., Reggiani, L. (2010). Quantum maximum entropy principle for a system of identical particles. Phys. Rev. E 81:021119(11).
- Wood, D. C. (1992) The computation of polylogarithms. University of Kent Computing Laboratory, technical report 15/92.
- Wu, N. (1997). The Maximum Entropy Method. Berlin: Springer Verlag.
- Zamponi, N., Barletti, L. (2011). Quantum electronic trasport in graphene: A kinetic and fluid-dynamical approach. Math. Methods Appl. Sci. 34:807–818.