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arXiv 0910.2623cond-mat.soft
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剪切颗粒介质中的扩散与速度自相关

Diffusion and Velocity Auto-Correlation in Shearing Granular Media

Peter Olsson

摘要:

我们进行了数值模拟,以研究颗粒扩散在稳态剪切模型颗粒材料在两个维度的堵塞密度和零温度。我们证实了其他人的研究结果,扩散常数取决于剪切速率为$D\sim\dotγ^{q_D}$与$q_D<1$,并着手确定$q_D$和其他指数之间的关系,表征干扰过渡。然后,我们检查的速度自关联函数,注意到它是由两个不同的时间尺度的过程,并确定一个新的基本指数,$λ$,其特征的代数衰减的相关性与时间。

英文摘要:

We perform numerical simulations to examine particle diffusion at steady shear in a model granular material in two dimensions at the jamming density and zero temperature. We confirm findings by others that the diffusion constant depends on shear rate as $D\sim\dotγ^{q_D}$ with $q_D<1$, and set out to determine a relation between $q_D$ and other exponents that characterize the jamming transition. We then examine the the velocity auto-correlation function, note that it is governed by two processes with different time scales, and identify a new fundamental exponent, $λ$, that characterizes an algebraic decay of correlations with time.

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