论文标题
评论“ kosterlitz-tyless-type caging-caging-caging-using untive the quasi-One维硬盘系统中的过渡” [Phys。 Rev. Research 2，033351（2020）]
Comment on "Kosterlitz-Thouless-type caging-uncaging transition in a quasi-one-dimensional hard disk system" [Phys. Rev. Research 2, 033351 (2020)]
论文作者
论文摘要
Huerta等。 [物理。 Rev. Research 2，033351（2020）]报告了限制在硬平行壁中的硬盘的数值模拟中的位置顺序衰减，它们将其解释为Kosterlitz-Kosterlitz-thouless-type-type-type-type-type caging-type caging-uncancing un-usging Transition。然而，在准二维（Q1D）系统中提出的这种过渡的存在与长期存在的物理期望相矛盾。为了澄清提议的订购是否持续在热力学极限中，我们引入了一种精确的传输矩阵方法，以迅速为任意大小的系统产生平衡配置。发现位置顺序的幂律衰减仅在有限距离上延伸。我们得出的结论是，报告的数值模拟结果与交叉相关，而不是适当的热力学相变。
Huerta et al. [Phys. Rev. Research 2, 033351 (2020)] report a power-law decay of positional order in numerical simulations of hard disks confined within hard parallel walls, which they interpret as a Kosterlitz-Thouless-type caging-uncaging transition. The proposed existence of such a transition in a quasi-one-dimensional (q1D) system, however, contradicts long-held physical expectations. To clarify if the proposed ordering persists in the thermodynamic limit, we introduce an exact transfer matrix approach to expeditiously generate equilibrium configurations for systems of arbitrary size. The power-law decay of positional order is found to extend only over finite distances. We conclude that the numerical simulation results reported are associated with a crossover, and not a proper thermodynamic phase transition.
