Equation Systems of Generalized Hydrodynamics for Soft-Matter Quasicrystals

TL;DR

This paper develops a generalized hydrodynamics framework for soft-matter quasicrystals, introducing fluid phonons and incorporating phonons and phasons to describe their complex dynamics.

Contribution

It establishes the first set of equation systems for generalized hydrodynamics of soft-matter quasicrystals, including new elementary excitations and their equations.

Findings

Formulated equations of state for soft-matter quasicrystals.

Introduced fluid phonons as a new elementary excitation.

Set up a comprehensive theory including phonons and phasons.

Abstract

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.