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Nematic-isotropic transition in a lattice model with quenched disordered impurities: A Monte Carlo study

机译:淬灭无序杂质的晶格模型中的向列各向同性跃迁:蒙特卡洛研究

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We have performed Monte Carlo (MC) simulations of the lattice model for a fluid of elongated particles, mimicking liquid crystalline behavior and of this model in the presence of disordered quenched impurities. The interparticle interaction is chosen similar to the angular dependent term of the Berne-Pechukas potential. A pronounced first-order nematic-isotropic transition has been obtained for a bulk pure model at the Value for the elongation parameter, a=3. However, at a 5% concentration of disordered quenched impurities, we have observed a Very weak first-order transition in the simulations of the model at different sizes of the simulation volume. We have discussed a shift of the transition temperature, a suppression of the latent heat and the maxima of the heat capacity and susceptibility due to the presence of impurities. A histogram analysis and a finite-size scaling has been applied to the MC data. A comparison of the simulation data with the experimental results for liquid crystals confined to silica aerogels and porous glasses also has been performed. [References: 32]
机译:我们已经对细长粒子流体的晶格模型进行了蒙特卡洛(MC)模拟,模仿了液晶行为,并且在存在无序淬灭杂质的情况下对该模型进行了模拟。选择与伯尔尼-佩丘卡斯势的角度相关项相似的粒子间相互作用。对于本体纯模型,已在伸长参数的值a = 3处获得了明显的一阶向列各向同性转变。但是,在无序淬火杂质浓度为5%的情况下,我们已经在不同体积的模拟体积的模型中观察到非常弱的一阶跃迁。我们已经讨论了转变温度的变化,潜热的抑制以及由于存在杂质而导致的热容和磁化率的最大值。直方图分析和有限大小缩放已应用于MC数据。还已经将模拟数据与仅限于二氧化硅气凝胶和多孔玻璃的液晶的实验结果进行了比较。 [参考:32]

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