Sonnet A M, Virga E G
Dipartimento di Matematica, Istituto Nazionale di Fisica della Materia, Università di Pavia, Via Ferrata 1, I-27100 Pavia, Italy.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Sep;64(3 Pt 1):031705. doi: 10.1103/PhysRevE.64.031705. Epub 2001 Aug 27.
A variational principle is proposed that allows to derive the equations of motion for a fluid with a general microstructure described by a tensorial order parameter. The only constitutive ingredients are the densities of the free energy and the dissipation, both subject to appropriate invariance requirements. As an illustration, it is shown how the hydrodynamic theory for uniaxial nematic liquid crystals can be derived within this setting.
提出了一种变分原理，该原理可用于推导具有由张量序参量描述的一般微观结构的流体的运动方程。唯一的本构要素是自由能密度和耗散密度，两者都满足适当的不变性要求。作为一个例子，展示了如何在这种情况下推导出单轴向列型液晶的流体动力学理论。
