标题： 简单玻璃形成体中的简单涨落 显示英文标题

标题： Simple fluctuations in simple glass formers

摘要： 与粒子位移相关的临界单粒子涨落是大维度极限下简单玻璃形成液体的固有特性，并在所有有限维度中留下伪临界痕迹。 这种特性可以作为区分玻璃形成理论的关键测试。 我们在此研究这些由已建立的非高斯参数捕捉到的临界涨落，在硬球液体和最小结构的Mari--Kurchan模型中，跨维度的模式耦合理论（MCT）和动态平均场理论（DMFT）中进行分析。 我们建立了适用于任何液体动力学理论的大维度下的普遍标度定律，并表明MCT预测的维度标度与DMFT的不一致。 在中等高维度下的硬球模拟结果与DMFT情景一致，强化了平均场理论在有限维度中捕捉玻璃物理的相关性。 我们识别出可能对MCT进行调整以考虑某些平均场物理。 我们的发现还表明，局部结构和空间维度可以以非平凡的方式影响单粒子临界涨落。 显示英文摘要

摘要： Critical single-particle fluctuations associated with particle displacements are inherent to simple glass-forming liquids in the limit of large dimensions and leave a pseudo-critical trace across all finite dimensions. This characteristic could serve as a crucial test for distinguishing between theories of glass formation. We here examine these critical fluctuations, as captured by the well-established non-Gaussian parameter, within both mode-coupling theory (MCT) and dynamical mean-field theory (DMFT) across dimensions for hard sphere liquids and for the minimally structured Mari--Kurchan model. We establish general scaling laws relevant to any liquid dynamics theory in large dimensions and show that the dimensional scalings predicted by MCT are inconsistent with those from DMFT. Simulation results for hard spheres in moderately high dimensions align with the DMFT scenario, reinforcing the relevance of mean-field theory for capturing glass physics in finite dimensions. We identify potential adjustments to MCT to account for certain mean-field physics. Our findings also highlight that local structure and spatial dimensionality can affect single-particle critical fluctuations in non-trivial ways.