Parity of the weak Fréedericksz transition
Parity of the weak Fréedericksz transition
复制标题
弱 Fréedericksz 跃迁的宇称
DOI：
10.1140/epje/i2012-12133-7
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
G. Napoli
中科院分区：
文献类型：
--
作者：
G. Bevilacqua;G. Napoli
受Kumar等人（Phys.Rev.E.，82，011701（2010））中观察到的逆Fréedericksz转变，我们从理论上研究了弱平面边界条件下Fréedericksz盒平衡构型的宇称和稳定性。在Frank理论的一常数近似下，体平衡方程简化为非线性摆方程。它的解决方案，结合边界条件的能量锚定，失去唯一性，表现出各种对称性。因此，在给定的锚定强度和外加场下，细胞成为具有亚稳态离散能级的系统。我们的分析提出了一个解释的实验结果。
Motivated by the recent experimental findings by Kumar et al. (Phys. Rev. E., 82, 011701 (2010)) in which the inverse Fréedericksz transition is observed, we have theoretically investigated the parity and the stability of the equilibrium configurations of a Fréedericksz cell with weak planar boundary conditions. Within the one-constant approximation of the Frank theory, the bulk equilibrium equation reduces to the nonlinear pendulum equation. Its solutions, when combined with boundary conditions deriving by the energy anchoring, lose uniqueness, exhibiting various symmetries. Thus, at a given anchoring strength and applied field, the cell becomes a system with metastable discrete energy levels. Our analysis proposes an explanation of the experimental results.