论文标题

统一稳态的稳定性,用于限制的准二维颗粒流体的模型

Stability of the homogeneous steady state for a model of a confined quasi-two-dimensional granular fluid

论文作者

Garzó, Vicente, Brito, Ricardo, Soto, Rodrigo

论文摘要

对封闭的准二维颗粒气体的模型的流体动力方程进行了线性稳定性分析。稳定性分析是围绕瞬时状态后最终由系统到达的均匀稳态(HSS)进行的。与以前的研究(考虑稀释或准层系统)相反,我们的分析基于从非弹性恩科格动力学方程中获得的结果,该方程考虑了运输系数的(非线性)依赖性以及对耗散的冷却速率的依赖性,并应用于中等密度。与较早的研究一样,分析表明,相对于足够长的波长激发,HSS是线性稳定的。

A linear stability analysis of the hydrodynamic equations of a model for confined quasi-two-dimensional granular gases is carried out. The stability analysis is performed around the homogeneous steady state (HSS) reached eventually by the system after a transient regime. In contrast to previous studies (which considered dilute or quasielastic systems), our analysis is based on the results obtained from the inelastic Enskog kinetic equation, which takes into account the (nonlinear) dependence of the transport coefficients and the cooling rate on dissipation and applies to moderate densities. As in earlier studies, the analysis shows that the HSS is linearly stable with respect to long enough wavelength excitations.

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