Maier-Saupe成矿流体：场论方法
Maier-Saupe nematogenic fluid: field theoretical approach
摘要：
采用场论方法研究了均匀Maier-Saupe类生流体与各向异性Yukawa势相互作用的结构和热力学性质。在平均场近似下，我们恢复了液晶的标准Maier-Saupe理论。在该理论中，密度通过分子取向的二阶勒让德多项式来表示。在高斯近似下，我们得到了关联函数、弹性常数、自由能、压强和化学势的解析表达式。我们还利用Ward对称恒等式为关联函数设置了一个简单的条件。随后，我们发现由于波动的校正，并表明密度现在包含更高阶的勒让德多项式。
英文摘要：
We adopt a field theoretical approach to study the structure and thermodynamics of a homogeneous Maier-Saupe nematogenic fluid interacting with anisotropic Yukawa potential. In the mean field approximation we retrieve the standard Maier-Saupe theory for liquid crystals. In this theory the density is expressed via the second order Legendre polynomial of molecule orientations. In the Gaussian approximation we obtain analytical expressions for the correlation functions, the elasticity constant, the free energy, the pressure, and the chemical potential. We also use Ward symmetry identities to set a simple condition for the correlation functions. Subsequently we find corrections due to fluctuations and show that density now contains Legendre polynomials of higher orders.
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