Maier-Saupe nematogenic fluid: field theoretical approach
Maier-Saupe nematogenic fluid: field theoretical approach
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Maier-Saupe 向列液：场理论方法
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
I. Kravtsiv
中科院分区：
文献类型：
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作者：
M. Holovko;D. D. Caprio;I. Kravtsiv
我们采用场论方法来研究均质 Maier-Saupe 向列流体与各向异性 Yukawa 势相互作用的结构和热力学。在平均场近似中，我们检索了液晶的标准 Maier-Saupe 理论。在该理论中，单粒子分布函数通过分子取向的二阶勒让德多项式来表达。在高斯近似中，我们获得了相关函数、自由能、压力、化学势和弹性常数的解析表达式。随后，我们发现了由于波动而产生的修正，并表明单粒子分布函数现在包含高阶勒让德多项式。我们还使用 Ward 对称恒等式来设置相关函数的简单条件。
We adopt a field theoretical approach to the study of the structure and thermodynamics of a homogeneous Maier-Saupe nematogenic fluid interacting with anisotropic Yukawa potential. In the mean field approximation we retrieve a standard Maier-Saupe theory for liquid crystals. In this theory, the single-particle distribution function is expressed via the second order Legendre polynomial of molecule orientations. In the Gaussian approximation we obtain analytical expressions for correlation functions, free energy, pressure, chemical potential, and elasticity constant. Subsequently we find corrections due to fluctuations and show that the singleparticle distribution function now contains Legendre polynomials of higher orders. We also use Ward symmetry identities to set a simple condition for correlation functions.