Equation Systems of Generalized Hydrodynamics for Soft-Matter Quasicrystals

The equation systems of generalized hydrodynamics, or generalized dynamics for simplicity, for soft-matter quasicrystals were established. Considering the fluidity of the matter with high order we introduced a new elementary excitation—fluid phonon to the quasicrystals, and the equation of state is necessary and introduced too. By considering other two elementary excitations—phonons and phasons, a theory—generalized hydrodynamics for soft-matter quasicrystals is set up, in which the governing equations of the dynamics are reported in this letter.