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Monte Carlo Simulation of the Nematic-Isotropic Phase Transition of Liquid Crystals under Magnetic Field

机译：磁场下液晶甲型分子相变的蒙特卡罗模拟

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The effect of magnetic field on the nematic-isotropic phase transition of liquid crystal was studied by Monte Carlo simulation. The classical spin lattice model was used to describe the liquid crystal systems and the Lebwohl-Lasher potential model. We calculate the energy per spin, the orientational order parameter, and specific heat of subtances and then study their phase diagrams as a function of temperature for various magnetic fields and as a function of magnetic field for various temperatures. In the absence of magnetic field, the nematic-isotropic phase transition is a weak first order transition. If the magnetic field is increased, then the minimum value of the spin energy will drop, the minimum value of the order parameter will increase, and the peak value of the specific heat is going down. We find that the magnetic field shifts the nematic-isotropic phase transition and induces an isotropic phase into a paranematic phase.
机译：通过Monte Carlo模拟研究了磁场对液晶向列激相转变的影响。典型的旋转格子模型用于描述液晶系统和Lebwohl-偏振机电位模型。我们计算每个旋转，定义阶参数和具体的音质的能量，然后将它们的相图作为各种磁场的温度的函数以及各种温度的磁场的函数。在没有磁场的情况下，向上各向同性相转变是弱的第一阶转变。如果磁场增加，则旋转能量的最小值将下降，顺序参数的最小值增加，并且特定热量的峰值下降。我们发现磁场将向列 - 各向同性相转变移位并诱导各向同性相中进入酶相。

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