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Hydrodynamics of Solid Quasicrystals

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Mathematical Theory of Elasticity of Quasicrystals and Its Applications

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 246))

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Abstract

Generalized hydrodynamics is one of the important branches on study of solid quasicrystals, refer to Lubensky et al. [1, 2].

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Notes

  1. 1.

    Abbott B P et al, 2016, Phys Rev Lett, 116, 061102.

References

  1. Lubensky T C, Ramaswamy S and Toner J, 1985, Hydrodynamics of icosahedral quasicrystals, Phys. Rev. B, 32(11), pp. 7444-7452.

    Google Scholar 

  2. Lubensky T C, 1988, Symmetry, elasticity and hydrodynamics of quasistructures, in Ed. V M Jaric, Introduction to Quasicrystals, Boston, Academic Press, 1988, pp. 199-280.

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  3. Rochal S B and Norman V L, 2002, Minimal model of the phonon-phason dynamics of quasicrystals, Phys Rev B, 66, pp. 144204.

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  4. Fan TY, Wang X F, Li W and Zhu A Y, 2009, Elasto-hydrodynamics of quasicrystals, Phil. Mag, 89(6), pp. 501-512.

    Google Scholar 

  5. Martin P C, Parodi O and Pershan P S, 1972, United hydrodynamic theory for crystals, liquid crystals and normal fluids, Phys Rev A, 6(6), pp. 2401-2420.

    Google Scholar 

  6. Fleming P D and Cohen C, 1976, Hydrodynamics of solids, Phys Rev B, 13(2), pp. 500-516.

    Google Scholar 

  7. Landau L D and Lifshitz E M, 1988, Theory of Elasticity, Oxford, Pergamon Press.

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  8. Khannanov S K, 2002, Dynamics of elastic and phason field in quasicrystals, Phys Met Metallogr. (USSR), 93, pp. 397-403.

    Google Scholar 

  9. Coddens G, 2006, On the problem of the relation between phason elasticity and phason dynamics in quasicrystals, Eur. Phys. J. B, 54(1), pp. 37-65.

    Google Scholar 

  10. Cheng H, Fan T Y, Sun J J and Wei H, Time-space solutions for hydrodynamics of pentagonal/decagonal quasicrystals, Appl Math Mech, 37(10), in press. .

    Google Scholar 

  11. Chen H, Fan T Y and Wei H, 2016, Complete solution of possible soft-matter quasicrystals with 5- and 10-fold symmetries, submitted.

    Google Scholar 

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Authors and Affiliations

  1. Beijing Institute of Technology, Beijing, China

    Tian-You Fan

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  1. Tian-You Fan
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Correspondence to Tian-You Fan .

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© 2016 Science Press and Springer Science+Business Media Singapore

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Fan, TY. (2016). Hydrodynamics of Solid Quasicrystals. In: Mathematical Theory of Elasticity of Quasicrystals and Its Applications. Springer Series in Materials Science, vol 246. Springer, Singapore. https://doi.org/10.1007/978-981-10-1984-5_16

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  • DOI: https://doi.org/10.1007/978-981-10-1984-5_16

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-1982-1

  • Online ISBN: 978-981-10-1984-5

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