论文标题
石墨烯中电子的量子Navier-Stokes方程
Quantum Navier-Stokes equations for electrons in graphene
论文作者
论文摘要
Chapman-Enskog方法与量子最大熵原理结合使用，将其应用于Wigner方程，以便在等温病例中获得石墨烯中电子的量子Navier-Stokes方程。该推导基于最大熵原理的量子版本，并遵循Ringhofer-Degond-Méhats理论的线条（J. Stat。Phys。112，2003和Z. Angew。Math。Math。Math。90，2010）。然后，以这种方式获得的模型将被半经典地扩展到$ \ MATHCAL {O}（\ HBAR^2）$。
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-Méhats' 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 $\mathcal{O}(\hbar^2)$.
