标题： 四维Lennard-Jones液体中的均质结晶 显示英文标题

标题： Homogeneous crystallization in four-dimensional Lennard-Jones liquids

摘要： 我们报告了在模拟的高维（$d > 3$）液体中首次观察到的均匀结晶，这些液体遵循物理上现实的动力学，并且系统尺寸足够大，消除了结晶是由周期性边界条件引起的可能性。 过冷的四维（4D）Lennard-Jones液体在零压和恒定温度$0.59 < T < 0.63$下在$\sim 2 \times 10^4\tau$内结晶，其中$\tau$是 LJ 时间单位。 在与它们的 LJ 对应物相同的密度和温度下保持的 WCA 液体即使在$2.5\times 10^5\tau$之后也没有结晶，这表明长程吸引力相互作用显著加快了 4D 结晶，正如它在 3D 中所做的那样。 然而，与 WCA 系统相比，LJ 液体和晶体相的局部键序分布的重叠要小得多，这与 3D 的趋势相反。 这意味着广泛接受的假设，即随着空间维度$d$的增加，几何挫败迅速抑制结晶，在没有吸引力粒子间力的情况下才普遍有效。 显示英文摘要

摘要： We report the first observation of homogeneous crystallization in simulated high-dimensional ($d > 3$) liquids that follow physically realistic dynamics and have system sizes that are large enough to eliminate the possibility that crystallization was induced by the periodic boundary conditions. Supercooled four-dimensional (4D) Lennard-Jones liquids maintained at zero pressure and constant temperatures $0.59 < T < 0.63$ crystallized within $\sim 2 \times 10^4\tau$, where $\tau$ is the LJ time unit. WCA liquids that were maintained at the same densities and temperatures at which their LJ counterparts nucleated did not crystallize even after $2.5\times 10^5\tau$, showing that the presence of long-ranged attractive interactions dramatically speeds up 4D crystallization, much as it does in 3D. However, the overlap of the liquid and crystalline phases' local-bond-order distributions is much smaller for LJ than for WCA systems, which is the opposite of the 3D trend. This implies that the widely accepted hypothesis that increasing geometrical frustration rapidly suppresses crystallization as the spatial dimension $d$ increases is only generally valid in the absence of attractive interparticle forces.