Universal scaling laws of diffusion in two-dimensional granular liquids

作者:Wang Chen Hung*; Yu Szu Hsuan; Chen Peilong
来源:Physical Review E, 2015, 91(6): 060201.
DOI:10.1103/PhysRevE.91.060201

摘要

We find, in a two-dimensional air table granular system, that the reduced diffusion constant D* and excess entropy S-2* follow two distinct scaling laws: D* similar to e(S2*) for dense liquids and D* similar to e(3S2*) for dilute ones. The scaling for dense liquids is very similar to that for three-dimensional liquids proposed previously [M. Dzugutov, Nature (London) 381, 137 (1996); A. Samanta et al., Phys. Rev. Lett. 92, 145901 (2004)]. In the dilute regime, a power law [Y. Rosenfeld, J. Phys.: Condens. Matter 11, 5415 (1999)] also fits our data reasonably well. In our system, particles experience low air drag dissipation and interact with each others through embedded magnets. These near-conservative many-body interactions are responsible for the measured Gaussian velocity distribution functions and the scaling laws. The dominance of cage relaxations in dense liquids leads to the different scaling laws for dense and dilute regimes.