Dynamic analysis of second kind soft-matter quasicrystals of point group 14mm

Abstract

The hydrodynamic model for soft-matter quasicrystals with 14-fold symmetry is investigated. The 14-fold symmetry soft-matter quasicrystals belong to the second kind of soft-matter quasicrystals. The most distinction between the first and the second kinds of the soft-matter quasicrystals lies in the four elementary excitations including two phason elementary excitations exist for the latter. The equations of motion for point group 14 mm soft-matter qusicrystals are given, and an initial-boundary value problem of the equations is solved by applying the finite difference method. The effects of the phonons, first phasons, second phasons, fluid phonon and their interactions in space-time domain are explored.