标题： 紧邻堆积转变附近的广范围双分散性下的超均匀性 显示英文标题

标题： Hyperuniformity near jamming transition over a wide range of bidispersity

摘要： 我们数值研究了二维无摩擦的双分散系统紧密堆积中的超均匀性。 超均匀性通过大尺度上的密度涨落抑制来表征，在小波数极限下结构因子渐近趋于零，如$S(q) \propto q^{\alpha}$所示，其中$\alpha > 0$。 众所周知，紧密排列配置在广泛的波数窗口内表现出超均匀性，直至$q^{\ast}\sigma \approx 0.2$，其中$\sigma$是粒子直径。 在二维情况下，我们发现指数$\alpha$大约为$0.6\text{--}0.7$。 这与三维系统报告的$\alpha = 1$值形成对比。 我们采用Rissone \textit{等.} \href{https://link.aps.org/doi/10.1103/PhysRevLett.127.038001}{[物理评论快报{\bf 127}，038001 (2021)]}最近引入的一种先进方法，最初用于单分散和三维系统，以高精度确定 $\alpha$。 该指数在所有小颗粒和大颗粒之间的尺寸比下保持不变，除了在单分散情况下，系统会结晶。 显示英文摘要

摘要： We numerically investigate hyperuniformity in two-dimensional frictionless jammed packings of bidisperse systems. Hyperuniformity is characterized by the suppression of density fluctuations at large length scales, and the structure factor asymptotically vanishes in the small-wavenumber limit as $S(q) \propto q^{\alpha}$, where $\alpha > 0$. It is well known that jammed configurations exhibit hyperuniformity over a wide range of wavenumbers windows, down to $q^{\ast}\sigma \approx 0.2$, where $\sigma$ is the particle diameter. In two dimensions, we find that the exponent $\alpha$ is approximately $0.6\text{--}0.7$. This contrasts with the reported value of $\alpha = 1$ for three-dimensional systems. We employ an advanced method recently introduced by Rissone \textit{et al.} \href{https://link.aps.org/doi/10.1103/PhysRevLett.127.038001}{[Phys. Rev. Lett. {\bf 127}, 038001 (2021)]}, originally developed for monodisperse and three-dimensional systems, to determine $\alpha$ with high precision. This exponent is found to be unchanged for all size ratios between small and large particles, except in the monodisperse case, where the system crystallizes.