Unified description of long-time tails and long-range correlation functions for sheared granular liquids
1 Department of Physics and Mathematics, Aoyama Gakuin University, 5-10-1 Fuchinobe, Sagamihara, Kanagawa 229-8558, Japan
2 Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawaoiwake-cho, Sakyo-ku, Kyoto 606-8502, Japan
Unified description on the long-time tail of velocity autocorrelation function (VACF) and the algebraic decays of the equal-time spatial correlation functions for nearly elastic and uniformly sheared granular liquids is developed based on the generalized fluctuating hydrodynamics. We predict that the cross-over of the long-time tail of VACF from t−3/2 to t−5/2 with the time t regardless of the density. We also demonstrate the existence of algebraic tails of the equal-time spatial density correlation function and the equal-time spatial velocity correlation function which respectively satisfy r−11/3 and r−5/3 for large distance r.
© EDP Sciences, Springer-Verlag, 2010