Hydrodynamic equations for electrons in graphene obtained from the maximum entropy principle
arXiv:1311.5392 · doi:10.1063/1.4886698
Abstract
The maximum entropy principle is applied to the formal derivation of isothermal, Euler-like equations for semiclassical fermions (electrons and holes) in graphene. After proving general mathematical properties of the equations so obtained, their asymptotic form corresponding to significant physical regimes is investigated. In particular, the diffusive regime, the Maxwell-Boltzmann regime (high temperature), the collimation regime and the degenerate gas limit (vanishing temperature) are considered.
32 pages, 2 figures
References in corpus (5)
- The electronic properties of graphene
- Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
- Hydrodynamic model for electron-hole plasma in graphene
- Wigner model for quantum transport in graphene
- Derivation of isothermal quantum fluid equations with Fermi-Dirac and Bose-Einstein statistics
Cited by in corpus (6)
- Hydrodynamics of electrons in graphene
- An efficient GFET structure
- Quantum transmission conditions for diffusive transport in graphene with steep potentials
- Mathematical aspects and simulation of electron-electron scattering in graphene
- Hydrodynamic electrons in Graphene: a viscous boundary-layer description
- Hydrodynamic equations for an electron gas in graphene