Computer simulations of the two-dimensional melting transition using hard disks
Computer simulations of the two-dimensional melting transition using hard disks
复制标题
使用硬盘对二维熔化转变进行计算机模拟
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
A. Jaster
中科院分区：
文献类型：
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作者：
A. Jaster
我们提出了详细的Monte Carlo结果的各种系统的二维熔化过渡到N=65536硬盘。在NVT系综中进行模拟，使用一种新的更新方案。在各向同性相的键取向相关长度xi_6和磁化率chi_6的测量和比较的Kosterlitz-Halperin-Nelson-Young（KTHNY）理论的预测。从xi_6和chi_6的标度关系，我们计算临界指数eta_6。在相变区域中，我们使用有限尺寸标度方法来定位的向错结合过渡点，并比较结果与从各向同性相的行为得到的值。此外，我们还测量了局域键取向序参量的拓扑缺陷密度、压强和二阶矩的分布。所有结果都与KTHNY理论相符合，但可以排除小关联长度的一级相变和一级连续相变。
We present detailed Monte Carlo results for the two-dimensional melting transition of various systems up to N=65536 hard disks. The simulations are performed in the NVT ensemble, using a new updating scheme. In the isotropic phase the bond orientational correlation length xi_6 and the susceptibility chi_6 are measured and compared with the predictions of the Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) theory. From the scaling relation of xi_6 and chi_6 we calculate the critical exponent eta_6. In the phase transition region we use finite-size scaling methods to locate the disclination binding transition point and compare the results with the values obtained from the behaviour in the isotropic phase. Additionally, we measure the topological defect density, the pressure and the distribution of the second moment of the local bond orientational order parameter. All results are in good agreement with the KTHNY theory, while a first-order phase transition with small correlation length and a one-stage continuous transition can be ruled out.