Hamiltonian Dynamics of Biaxial Nematics with the Molecular Shape Taken into Account

We consider the dynamics of biaxial nematics following the Hamiltonian approach. The hydrodynamic parameters related to the broken symmetry are introduced in terms of the distortion tensor. The densities and flows of additive integrals of motion are represented in terms of the thermodynamic potential. We obtain the ideal hydrodynamic equations and study the spectra of collective excitations of biaxial nematics taking the molecular shape into account.