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arXiv 1705.08705cond-mat.softcond-mat.mtrl-scicond-mat.stat-mech
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铁电液晶中新的普适类

Novel Universality Classes in Ferroelectric Liquid Crystals

Amit K Chattopadhyay, Prabir K Mukherjee

摘要:

本文从铁电近晶-C $^*$(SmC ${*}$)液晶的热扰动非线性弹性模型的朗之万公式出发,研究了在电场作用下,SmC ${}^{*}$相到手性液晶相以及相反的动态相变。理论分析是基于动态重整化(DRG)和涌现模型的数值模拟相结合。而DRG架构预测的通用过渡到Kardar-Parisi-Zhang(KPZ)普适类在动态平衡,在最近的实验中,该模型的数值模拟显示同时存在两个阶段,一个是“亚扩散”(SD)相的特征在于由一个动态指数值为1,和其他KPZ相,其特征在于由一个动态指数值为1.5。SD阶段流动到KPZ阶段,增加外部强制,提供了一个新的普遍性的范例,迄今为止尚未探索的背景下的铁电液晶。

英文摘要:

Starting from a Langevin formulation of a thermally perturbed nonlinear elastic model of the ferroelectric smectic-C$^*$ (SmC${*}$) liquid crystals in the presence of an electric field, this article characterizes the hitherto unexplored dynamical phase transition from a thermo-electrically forced ferroelectric SmC${}^{*}$ phase to a chiral nematic liquid crystalline phase and vice versa. The theoretical analysis is based on a combination of dynamic renormalization (DRG) and numerical simulation of the emergent model. While the DRG architecture predicts a generic transition to the Kardar-Parisi-Zhang (KPZ) universality class at dynamic equilibrium, in agreement with recent experiments, the numerical simulations of the model show simultaneous existence of two phases, one a "subdiffusive" (SD) phase characterized by a dynamical exponent value of 1, and the other a KPZ phase, characterized by a dynamical exponent value of 1.5. The SD phase flows over to the KPZ phase with increased external forcing, offering a new universality paradigm, hitherto unexplored in the context of ferroelectric liquid crystals.

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