书架式排列的近晶C相液晶中特殊解的稳定性分析
Stability Analysis of Special Solutions in Smectic C Liquid Crystals with Bookshelf Geometry
摘要: 本文针对书架型几何结构下近晶C相液晶的简单剪切流问题开展线性稳定性分析，并通过能量耗散特性与约束限制条件对分析结果进行验证。通过在稳态解中引入小扰动并代入动力学方程，结合特征值，得出不同Leslie系数区间内平衡态的稳定性结论。
Abstract: In this paper, we perform a linear stability analysis on the simple shear flow problem of smectic C liquid crystals under a bookshelf geometry, and verify the analytical results through energy dissipation characteristics and constraint conditions. By introducing small perturbations into the steady-state solutions and substituting them into the dynamic equations, we derive the stability conclusions of the equilibrium states for different intervals of the Leslie coefficients in combination with eigenvalue analysis.
文章引用：邓英杰, 周信玉. 书架式排列的近晶C相液晶中特殊解的稳定性分析[J]. 现代物理, 2026, 16(3): 42-49. https://doi.org/10.12677/mp.2026.163005

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