arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2204.02936cond-mat.softcond-mat.dis-nncond-mat.stat-mech
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玻璃化转变和堵塞密度对空间维度的依赖性

Dependence of the glass transition and jamming densities on spatial dimension

Monoj Adhikari, Smarajit Karmakar, Srikanth Sastry

摘要:

我们调查软球液体的动力学,通过计算机模拟的空间尺寸从$d =3$到$8$,在很宽的温度和密度范围。采用一个缩放的密度-温度依赖的弛豫时间,我们精确地识别的密度$ϕ_0$,这标志着理想的玻璃化转变中的硬球极限,和一个交叉从子到超级Arrhenius温度依赖性。$ϕ_0$和无热干扰密度$ϕ_J$之间的差异在3维和4维中很小,随着维度的增加而增加,其中$ϕ_0 > ϕ_J$为$d > 4$。我们比较我们的结果与最近的理论计算。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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