Gay-Berne 模型中的隐藏尺度不变性。II. 近晶 B 相
Hidden scale invariance in the Gay-Berne model. II. Smectic B phase
AI总结：
本文研究 Gay-Berne 液晶模型的高密度低温近晶 B 相，通过维里与势能涨落关联及多项模拟验证其隐藏尺度不变性和近似同构不变性。
摘要：
本文补充了此前关于 Gay-Berne 液晶模型各向同性相与向列相的研究［Mehri 等人，Phys. Rev. E 105, 064703 (2022)］，研究了该模型在高密度和低温下出现的近晶 B 相。我们在这一相中也发现维里热涨落与势能热涨落之间存在强关联，这反映了隐藏尺度不变性，并意味着同构体的存在。通过对标准径向分布函数和取向径向分布函数、均方位移随时间的变化，以及力、力矩、速度、角速度和取向时间自相关函数进行模拟，所预测的物理性质的近似同构不变性得到证实。因此，Gay-Berne 模型中与液晶实验相关的区域均可通过同构理论得到完全简化。
英文摘要：
This paper complements a previous study of the isotropic and nematic phases of the Gay-Berne liquid-crystal model [Mehri et al., Phys. Rev. E 105, 064703 (2022)] with a study of its smectic B phase found at high density and low temperatures. We find also in this phase strong correlations between the virial and potential-energy thermal fluctuations, reflecting hidden scale invariance and implying the existence of isomorphs. The predicted approximate isomorph invariance of the physics is confirmed by simulations of the standard and orientational radial distribution functions, the mean-square displacement as a function of time, as well as the force, torque, velocity, angular velocity, and orientational time-autocorrelation functions. The regions of the Gay-Berne model that are relevant for liquid-crystal experiments can thus fully be simplified via the isomorph theory.
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