论文标题

微观动力学的流体动力和动力学表示,作为在这些模型中自洽场近似的宏观描述和含义上的过渡

Hydrodynamic and kinetic representation of the microscopic dynamics as the transitions on the macroscopic scale of description and meaning of the self-consistent field approximation in these models

论文作者

Andreev, Pavel A.

论文摘要

相对论VLASOV方程的开放性问题是带有速度到光速并根据Maxwell方程组完整的电磁场移动并创建电磁场的带电粒子系统的开放问题。此外,首先在非层次主义动力学模型上说明了推导方法。还展示了相对论流体动力学的独立推导。这些流体动力和动力学方程的这些推导的关键作用包括L.S.的物理无限体积的平均操作员Kuzmenkov。

The open problem of derivation of the relativistic Vlasov equation for the systems of charged particles moving with the velocities up to the speed of light and creating the electromagnetic field in accordance with the full set of the Maxwell equations is considered. Moreover, the method of derivation is firstly illustrated on the nonrelativistic kinetic model. Independent derivation of the relativistic hydrodynamics is also demonstrated. Key role of these derivations of the hydrodynamic and kinetic equations includes the explicit operator of averaging on the physically infinitesimal volume suggested by L.S. Kuzmenkov.

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