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arXiv · 1311.5392

Hydrodynamic equations for electrons in graphene obtained from the maximum entropy principle

Luigi Barletti
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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.

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Luigi Barletti. 2013-11-21. Hydrodynamic equations for electrons in graphene obtained from the maximum entropy principle. https://doi.org/10.1063/1.4886698

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