We investigate the heterogeneity of dynamics, the breakdown of the Stokes–Einstein relation and fragility in a model glass forming liquid, a binary mixture of soft spheres with a harmonic interaction potential for spatial dimensions from 3 to 8. The dynamical heterogeneity is quantified through the dynamical susceptibility χ₄ and the non-Gaussian parameter α₂. We find that the fragility, the degree of breakdown of the Stokes–Einstein relation, and the heterogeneity of the dynamics decrease with increasing spatial dimensionality. We briefly describe the dependence of fragility on the density and use it to resolve an apparent inconsistency with previous results.

中文翻译：

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异质性的空间维度依赖性、斯托克斯-爱因斯坦关系的分解以及模型玻璃形成液体的脆性

我们研究了动力学的异质性、Stokes-Einstein 关系的破坏和模型玻璃成型液体的脆性，这是一种软球体的二元混合物，空间维度为 3 到 8 的谐波相互作用势。动态异质性通过动态磁化率 χ ₄和非高斯参数 α ₂。我们发现脆弱性、斯托克斯-爱因斯坦关系的破坏程度以及动力学的异质性随着空间维度的增加而降低。我们简要描述了脆性对密度的依赖性，并用它来解决与先前结果明显不一致的问题。