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arXiv · 0907.4462

Unified description of long-time tails and long-range correlation functions for sheared granular liquids

Michio Otsuki·Hisao Hayakawa
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Abstract

Unified description on the long-time tail of velocity autocorrelation function and the long-range correlation for the equal-time spatial correlation functions is developed based on the generalized fluctuating hydrodynamics. The cross-over of the long-time tail from $t^{-3/2}$ to $t^{-5/2}$ is predicted independent of the density, and the equal-time spatial density correlation function and the equal-time spatial velocity correlation function respectively satisfy $r^{-11/3}$ and $r^{-5/3}$ for large $r$ limit.

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Michio Otsuki, Hisao Hayakawa. 2010-01-30. Unified description of long-time tails and long-range correlation functions for sheared granular liquids. https://doi.org/10.1140/epjst%2Fe2010-01202-7

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