Quantum Navier-Stokes equations for electrons in graphene

• URL: http://arxiv.org/abs/2211.07391v1
• Date: Fri, 11 Nov 2022 16:15:37 GMT
• Title: Quantum Navier-Stokes equations for electrons in graphene
• Authors: Luigi Barletti, Lucio Demeio, Sara Nicoletti
• Abstract summary: The derivation is based on the quantum version of the maximum entropy principle. The model is then semiclassically expanded up to $mathcalO(hbar2)$.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Chapman-Enskog method, in combination with the quantum maximum entropy principle, is applied to the Wigner equation in order to obtain quantum Navier-Stokes equations for electrons in graphene in the isothermal case. The derivation is based on the quantum version of the maximum entropy principle and follows the lines of Ringhofer-Degond-M\'ehats' theory (J. Stat. Phys. 112, 2003 and Z. Angew. Math. Mech. 90, 2010). The model obtained in this way is then semiclassically expanded up to $\mathcal{O}(\hbar^2)$.

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