纳米胶体的多分散性和表面能强度
Polydispersity and surface energy strength in nematic colloids
摘要：
我们考虑一个多分散的，不均匀的悬浮液中的胶体夹杂物在一个cuberhost，在稀制度的朗道德Gennes模型。研究了复合材料的均匀化极限，计算了复合材料的有效自由能。通过适当地选择夹杂物的形状，并施加一个二次，Rapini-Papoular型表面锚定能量密度，我们得到一个有效的自由能泛函与一个额外的线性项，这可以解释为“有效场”诱导的夹杂物。此外，我们计算的有效自由能在政权的“非常强的锚定”，也就是说，当表面能的影响占主导地位的体积自由能。
英文摘要：
We consider a Landau-de Gennes model for a polydisperse, inhomogeneous suspension of colloidal inclusions in a nematic host, in the dilute regime. We study the homogenised limit and compute the effective free energy of the composite material. By suitably choosing the shape of the inclusions and imposing a quadratic, Rapini-Papoular type surface anchoring energy density, we obtain an effective free energy functional with an additional linear term, which may be interpreted as an "effective field" induced by the inclusions. Moreover, we compute the effective free energy in a regime of "very strong anchoring", that is, when the surface energy effects dominate over the volume free energy.
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