Journal
JOURNAL OF MATHEMATICAL PHYSICS
Volume 55, Issue 8, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.4886698
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Funding
- MIUR National Project Kinetic and hydrodynamic equations of complex collisional system (PRIN) [2009NAPTJF_003]
- INdAM-GNFM, Progetto Giovani Ricercatori Quantum fluid-dynamics of identical particles: Analytical and numerical study
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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. (C) 2014 AIP Publishing LLC.
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