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arXiv 0802.0056cond-mat.softcond-mat.stat-mech
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稀薄颗粒气体均匀剪切流中的方向关联和速度分布

Orientational correlation and velocity distributions in uniform shear flow of a dilute granular gas

Bishakdatta Gayen, Meheboob Alam

摘要:

利用粒子模拟方法对粗糙稀颗粒气体的均匀剪切流动进行了研究,结果表明,在完全光滑的情况下,气体的平动速度和转动速度在方向上是强相关的,但不存在取向相关诱导的奇异性($β=-1$)和粗糙弹性碰撞的($β=1$)极限($e=1$);对于这两种极限情况,平移和旋转速度分布函数都保持接近高斯分布。远离这两个限制,以及空间速度的相关性是负责非高斯高速尾的出现。两个分布函数的尾部都遵循拉伸指数,指数取决于正常($e$)和切向($β$)恢复系数。

英文摘要:

Using particle simulations of the uniform shear flow of a rough dilute granular gas, we show that the translational and rotational velocities are strongly correlated in direction, but there is no orientational correlation-induced singularity at perfectly smooth ($β=-1$) and rough ($β=1$) limits for elastic collisions ($e=1$); both the translational and rotational velocity distribution functions remain close to a Gaussian for these two limiting cases. Away from these two limits, the orientational as well as spatial velocity correlations are responsible for the emergence of non-Gaussian high velocity tails. The tails of both distribution functions follow stretched exponentials, with the exponents depending on normal ($e$) and tangential ($β$) restitution coefficients.

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