Fatriansyah Jaka Fajar, Orihara Hiroshi
Division of Applied Physics, Faculty of Engineering, Hokkaido University, Sapporo, Hokkaido 060-8628, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Jul;88(1):012510. doi: 10.1103/PhysRevE.88.012510. Epub 2013 Jul 30.
We investigate the dynamical properties of monodomain nematic liquid crystals under shear flow and magnetic fields on the basis of the Ericksen-Leslie theory. Stable and unstable states appear depending on the magnetic field and the shear rate. The trajectory of the unstable state shows tumbling motion. The phase diagram of these states is plotted as a function of the three components of the magnetic field at a constant shear rate. The phase diagram changes depending on the viscous properties of different types of nematic liquid crystals. In this nonequilibrium steady state, we calculate the correlation function of director fluctuations and the response function, and discuss the nonequilibrium fluctuations and the modified fluctuation-dissipation relation in connection with nonconservative forces due to shear flow.
我们基于埃里克森 - 莱斯利理论研究单畴向列型液晶在剪切流和磁场作用下的动力学性质。根据磁场和剪切速率会出现稳定和不稳定状态。不稳定状态的轨迹呈现翻滚运动。这些状态的相图是在恒定剪切速率下作为磁场的三个分量的函数绘制的。相图会根据不同类型向列型液晶的粘性性质而变化。在这种非平衡稳态下，我们计算指向矢涨落的关联函数和响应函数，并结合由剪切流引起的非保守力讨论非平衡涨落和修正的涨落 - 耗散关系。
