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Introduction to Soft Matter Read chapter Read first chapter

2022 | OriginalPaper | Chapter

10. Dynamics of 18-Fold Symmetric Soft-Matter Quasicrystals

Authors : Tian-You Fan, Wenge Yang, Hui Cheng, Xiao-Hong Sun

Published in: Generalized Dynamics of Soft-Matter Quasicrystals

Publisher: Springer Nature Singapore

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Abstract

The discovery of 18-fold symmetric quasicrystals in colloids by Fischer et al. [1] raised broad fundamental importance. They are topologically different from the previous reports on pentagonal, decagonal, octagonal, and dodecagonal solid quasicrystals and the dodecagonal and decagonal soft-matter quasicrystals.

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previous chapter Dynamics of 8-Fold Symmetric Soft-Matter Quasicrystal Models
next chapter The Possible 7-, 9-, and 14-fold Symmetry Quasicrystals in Soft Matter
Literature
1.
Fischer, S., Exner, A., Zielske, K., Perlich, J., Deloudi, S., Steuer, W., Linder, P., Foestor, S.: Colloidal quasicrystals with 12-fold and 18-fold symmetry. Proc. Nat. Acad. Sci. 108, 1810–1814 (2011) ADSCrossRef
2.
Janssen, T.: The symmetry operations for N-dimensional periodic and quasiperiodic structures. Z. Kristallogr. 198, 17–32 (1992) CrossRef
3.
Hu, C.Z., Ding, D.H., Yang, W.G., Wang, R.H.: Possible two-dimensional quasicystal structure. Phys. Rev. B 49, 9423–9427 (1994) ADSCrossRef
4.
Fan, T.Y.: Equation system of generalized hydrodynamics of soft-matter quasicrystals. Appl. Math. Mech. 37, 331–347 (in Chinese (2016)); arXiv:1908235[cond.Mat-soft] Oct 15, (2019)
5.
Fan, T,Y,: Generalized hydrodynamics of soft-matter second kind of two-dimensional quasicrystals. Appl. Math. Mech. 38, 189–199 (in Chinese (2017)); arXiv:1908240[cond.Mat-soft] Oct 15, (2019)
6.
Li, X.F., Xie, L.Y., Fan, T.Y.: Elasticity and dislocations in quasicrystals with 18-fold symmetry. Phys. Lett. A 377, 2810–2814 (2013) ADSMathSciNetCrossRef
7.
Li, X.F., Fan, T.Y.: New method for solving plane elasticity of planar quasicrystals and solution. Chin. Phys. Lett. 1998(15), 278–280 (1998) ADSCrossRef
8.
Fan, T.Y.: Mathematical Theory of Elasticity of Quascrystals and Its Applications. Science Press, Beijing/Springer, Heidelberg, 1st edition (2010); 2nd edition (2016)
9.
Li, X.F., Fan, T.Y.: Dislocations in the second kind two-dimensional quasicrystals of soft matter. Physica B 52, 175–180 (2016) ADSCrossRef
10.
Gao, H., Fan, T.Y., Cheng, H.: Importance of coupling between phonons and phasons in soft-matter quasicrystals (unpublished work) (2018)
11.
Tang, Z.Y., Fan, T.Y.: Point groups and group representation theory of second kind of two-dimensional quasicrystals (unpublished work) (2017)
12.
Tang, Z.Y., Fan, T.Y.: Three-dimensional equations of 18-fold symmetry quasicrystals of soft matter. Mod. Phys. Lett. B 34, 2050109 (2020) ADSCrossRef
Metadata
Title
Dynamics of 18-Fold Symmetric Soft-Matter Quasicrystals
Authors
Tian-You Fan
Wenge Yang
Hui Cheng
Xiao-Hong Sun
Copyright Year
2022
Publisher
Springer Nature Singapore
Book
Generalized Dynamics of Soft-Matter Quasicrystals

Print ISBN: 978-981-16-6627-8

Electronic ISBN: 978-981-16-6628-5

Copyright Year: 2022

DOI
https://doi.org/10.1007/978-981-16-6628-5_10

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