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arXiv 0806.3528cond-mat.softphysics.class-phphysics.comp-ph
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偶极-偶极相互作用下二维熔化的计算机模拟

Computer simulations of two-dimensional melting with dipole-dipole interactions

Shizeng Lin, Bo Zheng, Steffen Trimper

摘要:

我们进行分子动力学和蒙特卡罗模拟的二维熔化偶极-偶极相互作用。静态和动态的行为进行检查。在各向同性液相中,测量了键取向相关长度6和磁化率6,并将数据与理论计算值进行了拟合。代数衰减检测到的空间和时间键取向关联函数在中间温度制度,它提供了一个明确的证据,为六角相的存在。从全局键取向序参量的有限尺寸标度分析,向错解束缚温度Ti估计。此外,从动态蒙特卡罗模拟的位置序参量,我们提取的临界指数在位错的解束缚温度Tm。所有结果与实验结果一致,支持Kosterlitz-Escherless-Halperin-Nelson-Young(KTHNY)理论。

英文摘要:

We perform molecular dynamics and Monte Carlo simulations of two-dimensional melting with dipole-dipole interactions. Both static and dynamic behaviors are examined. In the isotropic liquid phase, the bond orientational correlation length 6 and susceptibility 6 are measured, and the data are fitted to the theoretical ansatz. An algebraic decay is detected for both spatial and temporal bond orientational correlation functions in an intermediate temperature regime, and it provides an explicit evidence for the existence of the hexatic phase. From the finite-size scaling analysis of the global bond orientational order parameter, the disclination unbinding temperature Ti is estimated. In addition, from dynamic Monte Carlo simulations of the positional order parameter, we extract the critical exponents at the dislocation unbinding temperature Tm. All the results are in agreement with those from experiments and support the Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) theory.

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