Equation Systems of Generalized Hydrodynamics for Soft-Matter Quasicrystals

FAN Tian-you

doi:10.3879/j.issn.1000-0887.2016.04.001

Volume 37 Issue 4

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FAN Tian-you. Equation Systems of Generalized Hydrodynamics for Soft-Matter Quasicrystals[J]. Applied Mathematics and Mechanics, 2016, 37(4): 331-344. doi: 10.3879/j.issn.1000-0887.2016.04.001

Citation:

FAN Tian-you. Equation Systems of Generalized Hydrodynamics for Soft-Matter Quasicrystals[J]. Applied Mathematics and Mechanics, 2016, 37(4): 331-344. doi: 10.3879/j.issn.1000-0887.2016.04.001

Citation:

FAN Tian-you. Equation Systems of Generalized Hydrodynamics for Soft-Matter Quasicrystals[J]. Applied Mathematics and Mechanics, 2016, 37(4): 331-344. doi: 10.3879/j.issn.1000-0887.2016.04.001

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Equation Systems of Generalized Hydrodynamics for Soft-Matter Quasicrystals

doi: 10.3879/j.issn.1000-0887.2016.04.001

FAN Tian-you

School of Physics, Beijing Institute of Technology,Beijing 100081, P.R.China

Funds: The National Natural Science Foundation of China(11272053)

Received Date: 2016-01-22
Rev Recd Date: 2016-03-07
Publish Date: 2016-04-15

Abstract

Abstract

The equation systems of generalized hydrodynamics for soft-matter quasicrystals were established based on the Langevin equation, with the derivation method of Poisson bracket. The derivation was done with reference to the work on solid quasicrystals, for which there were only 2 kinds of elementary excitations: phonons and phasons. However, the generalized hydrodynamics for soft-matter quasicrystals was essentially different from that for solid ones. In the generalized hydrodynamics for solid quasicrystals the effects of solid viscosity and the interaction among viscosity, phonons and phasons were considered, without the need of state equations. Nevertheless, the fluid phonon and the interaction among fluid phonons, phonons and phasons in soft-matter quasicrystals were to be considered, where 3 kinds of elementary excitations, i.e. phonons, phasons and fluid phonons meant state equations were indispensable. This difficult problem was solved with the present method. The results show the correctness and efficiency of the theoretical analysis.
- soft-matter,
- quasicrystal,
- generalized hydrodynamics,
- state equation

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References(24)

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