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arXiv 0908.1362cond-mat.softcond-mat.stat-mech
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硬胶态血小板的Phase diagram:理论解释

Phase diagram of hard colloidal platelets: a theoretical account

H. H. Wensink, H. N. W. Lekkerkerker

摘要:

我们构建了完整的液晶相图的硬板状圆柱体的可变纵横比,使用Onsager的第二维里理论与Parsons-Lee解耦近似占各向同性和非线性流体相的更高的身体相互作用。固体(柱状)状态的稳定性在高填充分数包括通过调用一个简单的状态方程的基础上的Lennard-Jones-Devonshire(LJD)细胞模型,已被证明是定量可靠的在很大范围内的填充分数。通过采用高斯近似的基础上的渐近分析,我们能够表明,向列相柱过渡是普遍的和独立的颗粒形状。预测的相图与模拟结果定性一致。

英文摘要:

We construct the complete liquid crystal phase diagram of hard plate-like cylinders for variable aspect ratio using Onsager's second virial theory with the Parsons-Lee decoupling approximation to account for higher-body interactions in the isotropic and nematic fluid phases. The stability of the solid (columnar) state at high packing fraction is included by invoking a simple equation of state based on a Lennard-Jones-Devonshire (LJD) cell model which has proven to be quantitatively reliable over a large range of packing fractions. By employing an asymptotic analysis based on the Gaussian approximation we are able to show that the nematic-columnar transition is universal and independent of particle shape. The predicted phase diagram is in qualitative agreement with simulation results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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