FAN Tian-you. Generalized Hydrodynamics for Second 2D Soft-Matter Quasicrystals[J]. Applied Mathematics and Mechanics, 2017, 38(2): 189-199. doi: 10.21656/1000-0887.370198
Citation: FAN Tian-you. Generalized Hydrodynamics for Second 2D Soft-Matter Quasicrystals[J]. Applied Mathematics and Mechanics, 2017, 38(2): 189-199. doi: 10.21656/1000-0887.370198

Generalized Hydrodynamics for Second 2D Soft-Matter Quasicrystals

doi: 10.21656/1000-0887.370198
Funds:  The National Natural Science Foundation of China(11272053)
  • Received Date: 2016-06-27
  • Rev Recd Date: 2016-12-28
  • Publish Date: 2017-02-15
  • The concept on the first and second kinds of 2D quasicrystals was put forward, and through extension of ref.[1], the generalized hydrodynamics for possible soft-matter quasicrystals with 7-, 9- and 14-fold symmetries was suggested based on the Langevin equation and with the derivation method of the Poisson bracket. The derivation referred to the previous work of the author. The soft-matter quasicrystals observed so far were 2D ones. From this point of view, all the soft-matter quasicrystals both discovered and possibly discovered were considered in ref.[1] and the present work from the angle of symmetry and generalized hydrodynamics, where the equation of state as a key, was built by ref.[1]. Final governing equations (7), (9) and (11) were similar to those given in ref.[1], and the solution was also similar, so that the way of solution for the first kind of 2D soft-matter quasicrystals is beneficial to the second kind.
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