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arXiv 0906.2899cond-mat.softcond-mat.stat-mech
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各向同性-向列相界面上的双轴性

Biaxiality at the Isotropic-Nematic Interface with Planar Anchoring

S. M. Kamil, A. K. Bhattacharjee, R. Adhikari, Gautam I. Menon

摘要:

我们重新审视经典问题的结构各向同性的界面内的金斯堡-朗道-德Gennes理论,完善以前的分析处理双轴的接口。我们比较我们的分析与数值结果通过一个高精度的谱配置方案的解决方案的朗道-金兹伯格-德Gennes方程。在早期的工作相比,我们获得了改进的协议与数值的单轴和双轴的配置文件,准确的渐近结果的衰减双轴顺序的界面和各向同性的两侧和准确的拟合的数据从密度泛函的方法来解决这个问题。

英文摘要:

We revisit the classic problem of the structure of the isotropic-nematic interface within Ginzburg-Landau-de Gennes theory, refining previous analytic treatments of biaxiality at the interface. We compare our analysis with numerical results obtained through a highly accurate spectral collocation scheme for the solution of the Landau-Ginzburg-de Gennes equations. In comparison to earlier work, we obtain improved agreement with numerics for both the uniaxial and biaxial profiles, accurate asymptotic results for the decay of biaxial order on both nematic and isotropic sides of the interface and accurate fits to data from density functional approaches to this problem.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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