Anomalous and non-Gaussian diffusion in Hertzian spheres

作者:Ouyang, Wenze*; Sun, Bin; Sun, Zhiwei; Xu, Shenghua*
来源:Physica A: Statistical Mechanics and Its Applications , 2018, 505: 61-68.
DOI:10.1016/j.physa.2018.03.034

摘要

By means of molecular dynamics simulations, we study the non-Gaussian diffusion in the fluid of Hertzian spheres. The time dependent non-Gaussian parameter, as an indicator of the dynamic heterogeneity, is increased with the increasing of temperature. When the temperature is high enough, the dynamic heterogeneity becomes very significant, and it seems counterintuitive that the maximum of non-Gaussian parameter and the position of its peak decrease monotonically with the increasing of density. By fitting the curves of self intermediate scattering function, we find that the character relaxation time tau(alpha) is surprisingly not coupled with the time tau(max) where the non-Gaussian parameter reaches to a maximum. The intriguing features of non-Gaussian diffusion at high enough temperatures can be associated with the weakly correlated mean-field behavior of Hertzian spheres. Especially the time tau(max) is nearly inversely proportional to the density at extremely high temperatures.