论文标题
玻璃过渡和干扰密度对空间尺寸的依赖性
Dependence of the glass transition and jamming densities on spatial dimension
论文作者
论文摘要
我们通过计算机模拟在广泛的温度和密度下，通过计算机模拟从$ d = 3 $到$ 8 $调查了软球液体的动力学。使用密度温度依赖的松弛时间的缩放时间，我们精确地确定了密度$ ϕ_0 $，该密度标记了在硬球上的理想玻璃跃迁，以及从子次数到超级arrhenius温度依赖性的交叉。 $ ϕ_0 $与athermal干扰密度$ ϕ_j $，3和4维度之间的差异，随尺寸增加，$ ϕ_0> ϕ_j $ for $ d> 4 $。我们将结果与最新的理论计算进行比较。
We investigate the dynamics of soft sphere liquids through computer simulations for spatial dimensions from $d =3$ to $8$, over a wide range of temperatures and densities. Employing a scaling of density-temperature dependent relaxation times, we precisely identify the density $ϕ_0$ which marks the ideal glass transition in the hard sphere limit, and a crossover from sub- to super-Arrhenius temperature dependence. The difference between $ϕ_0$ and the athermal jamming density $ϕ_J$, small in 3 and 4 dimensions, increases with dimension, with $ϕ_0 > ϕ_J$ for $d > 4$. We compare our results with recent theoretical calculations.
