论文标题
Bhatnagar-Krook boltzmann方程中用于热流动力学的非本地准平衡状态：保护法：Boltzmann H Theorem和波动散失定理
A non-local quasi-equilibrium state in the Bhatnagar-Gross-Krook Boltzmann equation for thermo-hydrodynamics: Conservation laws, the Boltzmann H-theorem, and the fluctuation-dissipation theorem
论文作者
论文摘要
Bhatnagar-gross-Krook（BGK）Boltzmann方程具有Maxwellian-Boltzmann型平衡状态，导致一组热杂化动力学方程，例如连续性，Navier-Stokes，Navier-Stokes和Heaver-Stokes和Hee-Heaver the Hee-Transfer方程。凭借其高效且有希望的框架处理多尺度物理，已经使用理论和数值方法研究了碰撞模型，以将其应用于广泛的流动条件，例如PrandTL数字的灵活选择。在这项研究中，使用动力学发电机的分析技术，我们采用非本地制剂来实现平衡状态，从而导致热水动力学方程具有灵活的运输系数和状态方程（EOS）。平衡状态本质上包括准平衡状态，并用非本地宏观量量配制，以便明确涉及长期相互作用。根据新的配方，研究了与保护法，玻尔兹曼·H理论的一致性和波动 - 散文定理的一致性。
The Bhatnagar-Gross-Krook (BGK) Boltzmann equation with the Maxwellian-Boltzmann-type equilibrium state leads to the set of thermo-hydrodynamic equations such as the continuity, the Navier-Stokes, and the heat-transfer equations in the scaling limit. With its efficient and promising framework handling multi-scale physics, the collision model has been studied with both of theoretical and numerical approaches to apply it for extensive flow conditions such as the flexible choices of the Prandtl number. In this study, using an analytic technique of the kinetic generator, we employ a non-local formulation for the equilibrium state leading to the thermo-hydrodynamic equations with flexible choices of transport coefficients and the equation of state (EOS). The equilibrium state includes the quasi-equilibrium state intrinsically, being formulated with the non-local macroscopic quantities so that the longer-range interaction is explicitly involved. According to the new formulation, the consistency with conservation laws, the Boltzmann H-theorem, and the fluctuation-dissipation theorem are examined.
