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2. Case Study of Equation of State in Several Structured Fluids

Author

Fan, Tian-You, Yang, Wenge, Cheng, Hui, Sun, Xiao-Hong, Hull, Robert, Series Editor, Jagadish, Chennupati, Series Editor, Kawazoe, Yoshiyuki, Series Editor, Kruzic, Jamie, Series Editor, Osgood, Richard M., Series Editor, Parisi, Jürgen, Series Editor, Pohl, Udo W., Series Editor, Seong, Tae-Yeon, Series Editor, Uchida, Shin-ichi, Series Editor, Wang, Zhiming M., Series Editor, Fan, Tian-You, Yang, Wenge, Cheng, Hui, and Sun, Xiao-Hong

Published
2022
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3. Dynamics of Soft-Matter Quasicrystals with 12-Fold Symmetry

Author

Fan, Tian-You, Yang, Wenge, Cheng, Hui, Sun, Xiao-Hong, Hull, Robert, Series Editor, Jagadish, Chennupati, Series Editor, Kawazoe, Yoshiyuki, Series Editor, Kruzic, Jamie, Series Editor, Osgood, Richard M., Series Editor, Parisi, Jürgen, Series Editor, Pohl, Udo W., Series Editor, Seong, Tae-Yeon, Series Editor, Uchida, Shin-ichi, Series Editor, Wang, Zhiming M., Series Editor, Fan, Tian-You, Yang, Wenge, Cheng, Hui, and Sun, Xiao-Hong

Published
2022
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4. Dynamics of 10-Fold Symmetrical Soft-Matter Quasicrystals

Author

Fan, Tian-You, Yang, Wenge, Cheng, Hui, Sun, Xiao-Hong, Hull, Robert, Series Editor, Jagadish, Chennupati, Series Editor, Kawazoe, Yoshiyuki, Series Editor, Kruzic, Jamie, Series Editor, Osgood, Richard M., Series Editor, Parisi, Jürgen, Series Editor, Pohl, Udo W., Series Editor, Seong, Tae-Yeon, Series Editor, Uchida, Shin-ichi, Series Editor, Wang, Zhiming M., Series Editor, Fan, Tian-You, Yang, Wenge, Cheng, Hui, and Sun, Xiao-Hong

Published
2022
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5. Dynamics of 8-Fold Symmetric Soft-Matter Quasicrystal Models

Author

Fan, Tian-You, Yang, Wenge, Cheng, Hui, Sun, Xiao-Hong, Hull, Robert, Series Editor, Jagadish, Chennupati, Series Editor, Kawazoe, Yoshiyuki, Series Editor, Kruzic, Jamie, Series Editor, Osgood, Richard M., Series Editor, Parisi, Jürgen, Series Editor, Pohl, Udo W., Series Editor, Seong, Tae-Yeon, Series Editor, Uchida, Shin-ichi, Series Editor, Wang, Zhiming M., Series Editor, Fan, Tian-You, Yang, Wenge, Cheng, Hui, and Sun, Xiao-Hong

Published
2022
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6. Oseen Theory and Oseen Solution

Author

Fan, Tian-You, Yang, Wenge, Cheng, Hui, Sun, Xiao-Hong, Hull, Robert, Series Editor, Jagadish, Chennupati, Series Editor, Kawazoe, Yoshiyuki, Series Editor, Kruzic, Jamie, Series Editor, Osgood, Richard M., Series Editor, Parisi, Jürgen, Series Editor, Pohl, Udo W., Series Editor, Seong, Tae-Yeon, Series Editor, Uchida, Shin-ichi, Series Editor, Wang, Zhiming M., Series Editor, Fan, Tian-You, Yang, Wenge, Cheng, Hui, and Sun, Xiao-Hong

Published
2022
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7. Poisson Brackets and Derivation of Equations of Motion in Soft-Matter Quasicrystals

Author

Fan, Tian-You, Yang, Wenge, Cheng, Hui, Sun, Xiao-Hong, Hull, Robert, Series Editor, Jagadish, Chennupati, Series Editor, Kawazoe, Yoshiyuki, Series Editor, Kruzic, Jamie, Series Editor, Osgood, Richard M., Series Editor, Parisi, Jürgen, Series Editor, Pohl, Udo W., Series Editor, Seong, Tae-Yeon, Series Editor, Uchida, Shin-ichi, Series Editor, Wang, Zhiming M., Series Editor, Fan, Tian-You, Yang, Wenge, Cheng, Hui, and Sun, Xiao-Hong

Published
2022
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8. Introduction on Elasticity and Hydrodynamics of Solid Quasicrystals

Author

Fan, Tian-You, Yang, Wenge, Cheng, Hui, Sun, Xiao-Hong, Hull, Robert, Series Editor, Jagadish, Chennupati, Series Editor, Kawazoe, Yoshiyuki, Series Editor, Kruzic, Jamie, Series Editor, Osgood, Richard M., Series Editor, Parisi, Jürgen, Series Editor, Pohl, Udo W., Series Editor, Seong, Tae-Yeon, Series Editor, Uchida, Shin-ichi, Series Editor, Wang, Zhiming M., Series Editor, Fan, Tian-You, Yang, Wenge, Cheng, Hui, and Sun, Xiao-Hong

Published
2022
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9. Introduction to Soft Matter

Author

Fan, Tian-You, Yang, Wenge, Cheng, Hui, Sun, Xiao-Hong, Hull, Robert, Series Editor, Jagadish, Chennupati, Series Editor, Kawazoe, Yoshiyuki, Series Editor, Kruzic, Jamie, Series Editor, Osgood, Richard M., Series Editor, Parisi, Jürgen, Series Editor, Pohl, Udo W., Series Editor, Seong, Tae-Yeon, Series Editor, Uchida, Shin-ichi, Series Editor, Wang, Zhiming M., Series Editor, Fan, Tian-You, Yang, Wenge, Cheng, Hui, and Sun, Xiao-Hong

Published
2022
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10. An Application to Smectic A Liquid Crystals, Dislocation, and Crack

Author

Fan, Tian-You, Yang, Wenge, Cheng, Hui, Sun, Xiao-Hong, Hull, Robert, Series Editor, Jagadish, Chennupati, Series Editor, Kawazoe, Yoshiyuki, Series Editor, Kruzic, Jamie, Series Editor, Osgood, Richard M., Series Editor, Parisi, Jürgen, Series Editor, Pohl, Udo W., Series Editor, Seong, Tae-Yeon, Series Editor, Uchida, Shin-ichi, Series Editor, Wang, Zhiming M., Series Editor, Fan, Tian-You, Yang, Wenge, Cheng, Hui, and Sun, Xiao-Hong

Published
2022
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11. Discovery of Soft-Matter Quasicrystals and Their Properties

Author

Fan, Tian-You, Yang, Wenge, Cheng, Hui, Sun, Xiao-Hong, Hull, Robert, Series Editor, Jagadish, Chennupati, Series Editor, Kawazoe, Yoshiyuki, Series Editor, Kruzic, Jamie, Series Editor, Osgood, Richard M., Series Editor, Parisi, Jürgen, Series Editor, Pohl, Udo W., Series Editor, Seong, Tae-Yeon, Series Editor, Uchida, Shin-ichi, Series Editor, Wang, Zhiming M., Series Editor, Fan, Tian-You, Yang, Wenge, Cheng, Hui, and Sun, Xiao-Hong

Published
2022
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12. Possible Applications to General Soft Matter

Author

Fan, Tian-You, Yang, Wenge, Cheng, Hui, Sun, Xiao-Hong, Hull, Robert, Series Editor, Jagadish, Chennupati, Series Editor, Kawazoe, Yoshiyuki, Series Editor, Kruzic, Jamie, Series Editor, Osgood, Richard M., Series Editor, Parisi, Jürgen, Series Editor, Pohl, Udo W., Series Editor, Seong, Tae-Yeon, Series Editor, Uchida, Shin-ichi, Series Editor, Wang, Zhiming M., Series Editor, Fan, Tian-You, Yang, Wenge, Cheng, Hui, and Sun, Xiao-Hong

Published
2022
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13. The Possible 7-, 9-, and 14-fold Symmetry Quasicrystals in Soft Matter

Author

Fan, Tian-You, Yang, Wenge, Cheng, Hui, Sun, Xiao-Hong, Hull, Robert, Series Editor, Jagadish, Chennupati, Series Editor, Kawazoe, Yoshiyuki, Series Editor, Kruzic, Jamie, Series Editor, Osgood, Richard M., Series Editor, Parisi, Jürgen, Series Editor, Pohl, Udo W., Series Editor, Seong, Tae-Yeon, Series Editor, Uchida, Shin-ichi, Series Editor, Wang, Zhiming M., Series Editor, Fan, Tian-You, Yang, Wenge, Cheng, Hui, and Sun, Xiao-Hong

Published
2022
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14. An Application to the Thermodynamic Stability of Soft-Matter Quasicrystals

Author

Fan, Tian-You, Yang, Wenge, Cheng, Hui, Sun, Xiao-Hong, Hull, Robert, Series Editor, Jagadish, Chennupati, Series Editor, Kawazoe, Yoshiyuki, Series Editor, Kruzic, Jamie, Series Editor, Osgood, Richard M., Series Editor, Parisi, Jürgen, Series Editor, Pohl, Udo W., Series Editor, Seong, Tae-Yeon, Series Editor, Uchida, Shin-ichi, Series Editor, Wang, Zhiming M., Series Editor, Fan, Tian-You, Yang, Wenge, Cheng, Hui, and Sun, Xiao-Hong

Published
2022
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15. Applications to Device Physics—Photon Band Gap of Holographic Photonic Quasicrystals

Author

Fan, Tian-You, Yang, Wenge, Cheng, Hui, Sun, Xiao-Hong, Hull, Robert, Series Editor, Jagadish, Chennupati, Series Editor, Kawazoe, Yoshiyuki, Series Editor, Kruzic, Jamie, Series Editor, Osgood, Richard M., Series Editor, Parisi, Jürgen, Series Editor, Pohl, Udo W., Series Editor, Seong, Tae-Yeon, Series Editor, Uchida, Shin-ichi, Series Editor, Wang, Zhiming M., Series Editor, Fan, Tian-You, Yang, Wenge, Cheng, Hui, and Sun, Xiao-Hong

Published
2022
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16. Re-Discussion on Symmetry Breaking and Elementary Excitations

Author

Fan, Tian-You, Yang, Wenge, Cheng, Hui, Sun, Xiao-Hong, Hull, Robert, Series Editor, Jagadish, Chennupati, Series Editor, Kawazoe, Yoshiyuki, Series Editor, Kruzic, Jamie, Series Editor, Osgood, Richard M., Series Editor, Parisi, Jürgen, Series Editor, Pohl, Udo W., Series Editor, Seong, Tae-Yeon, Series Editor, Uchida, Shin-ichi, Series Editor, Wang, Zhiming M., Series Editor, Fan, Tian-You, Yang, Wenge, Cheng, Hui, and Sun, Xiao-Hong

Published
2022
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17. Study on stability of the first kind of soft-matter quasicrystals

Author

Fan, Tian-You and Tang, Zhi-Yi

Subjects
Condensed Matter - Soft Condensed Matter
Abstract

Based on extended free energy of soft-matter quasicrystals and the variation principle on thermodynamic stability, this study reports the results on stability of the first kind of soft-matter quasicrystals. They are dependent only upon the material constants, and quite simple and intuitive, the material constants can be measured by experiments. The results are significant in studying thermodynamics of the matter., Comment: arXiv admin note: text overlap with arXiv:1909.00312

Published
2019

18. Review on Generalized Dynamics of Soft-Matter Quasicrystals and Its Applications

Author

Fan, Tian-You, Yang, Wenge, and Sun, Xiao-Hong

Subjects
Condensed Matter - Soft Condensed Matter
Abstract

This article provides a detailed review on the generalized dynamics of soft-matter quasicrystals developed recent years. Comparing to solid quasicrystals consisted mainly with metallic alloys, soft-matter quasicrystals have been observed in liquid crystals, polymers, colloids, nanoparticles, and surfactants, which indicate quite different formation mechanism. Based on Landau-Anderson theory and group representation theory, we have studied the symmetry, symmetry breaking and elementary excitations for the observed and possible soft-matter quasicrystals. We further proposed one more elementary excitation: fluid phonon additional to the phonon and phason for solid quasicrystals, to quantitatively describe the dynamics of soft-matter quasicrystals. The general governing equations and the solutions of the dynamics evolution on the distribution, deformation and motion of the new phase are studied, which reveal quite distinguishing dynamic behavior with those of conventional fluids and solid quasicrystals. Some applications are introduced, which show this is an important field of new materials and materials science.

Published
2019

19. Three-dimensional equations of generalized dynamics of 18-fold symmetry soft-matter quasicrystals

Author

Tang, Zhi-Yi and Fan, Tian-You

Subjects
Condensed Matter - Soft Condensed Matter
Abstract

This letter presents a three-dimensional form of governing equations of generalized dynamics of 18-fold symmetry soft-matter quasicrystals, according to the dynamics basis there are first and second phason elementary excitations apart from phonons and fluid phonon. In the derivation, the group representation theory is a key point. The complete form of the theory includes an equation of state. The governing equations present some important meaning in the study on thermodynamics of the matter which is also introduced.

Published
2019
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20. The stability of the 18-fold symmetry soft-matter quasicrystals

Author

Tang, Zhi-Yi and Fan, Tian-You

Subjects
Condensed Matter - Soft Condensed Matter
Abstract

Following our previous work this article reports a study on the stability of the 18-fold symmetry soft-matter quasicrystals, in which the extended free energy is a basis for the analysis that is similar to the study of the 12-fold symmetry quasicrystals. Due to the differences in structure between these two kinds of quasicrystals, their stabilities present some different characters to each other. Because there were no any results of the stability of 18-fold symmetry soft-matter quasicrystals reported yet, perhaps the present work is the first probe on the topic., Comment: arXiv admin note: substantial text overlap with arXiv:1909.00312

Published
2019

21. The stability of 12-fold symmetry soft-matter quasicrystals

Author

Fan, Tian-You and Tang, Zhi-Yi

Subjects
Condensed Matter - Soft Condensed Matter
Abstract

This letter presents a study on the stability of the 12-fold symmetry soft-matter quasicrystals from the angle of thermodynamics combining dynamics of the matter. The results are quantitative, which depend upon only the material constants of the novel phase and very simple and intuitive, these material constants can be measured by experiments.

Published
2019

22. Three-Dimensional Generalized Dynamics of Soft-Matter Quasicrystals

Author

Fan, Tian-You and Tang, Zhi-Yi

Subjects
Condensed Matter - Soft Condensed Matter
Abstract

The three-dimensional generalized dynamics of soft-matter quasicrystals was investigated, in which the governing equations of the dynamics are derived for observed 12-fold symmetry quasicrystals and possible observed 8- and 10-symmetry ones in near future in soft matter. The solving methods, possible solutions for some initial and boundary value problems of the equations and possible applications are discussed as well., Comment: arXiv admin note: text overlap with arXiv:1908.06425

Published
2019
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23. The spherical coordinate form of three-dimensional generalized dynamics of soft-matter quasicrystals with 12-fold symmetry

Author

Tang, Zhi-Yi and Fan, Tian-You

Subjects
Condensed Matter - Soft Condensed Matter
Abstract

This article reports the spherical coordinate form of three-dimensional generalized dynamics of soft-matter quasicrystals with 12-fold symmetry which provides a basis for solving initial-boundary value problems of the equations under some important cases. Some relevant solving methods are discussed as well.

Published
2019

24. Equation Systems of Generalized Hydrodynamics for Soft-Matter Quasicrystals

Author

Fan, Tian-You

Subjects
Condensed Matter - Soft Condensed Matter
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., Comment: arXiv admin note: text overlap with arXiv:1908.06547

Published
2019
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25. Generalized Dynamics for Second Kind of Soft-Matter Quasicrystals

Author

Fan, Tian-You

Subjects
Condensed Matter - Soft Condensed Matter
Abstract

The equations of generalized dynamics of the first kind of soft-matter quasicrystals are derived and given in the previous report, we now introduce the equations of the dynamics for the second kind of quasicrystals in soft matter., Comment: arXiv admin note: text overlap with arXiv:1908.06425

Published
2019
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39. Conclusion Remarks

Author

Fan, Tian-You, primary, Yang, Wenge, additional, Cheng, Hui, additional, and Sun, Xiao-Hong, additional

Published
2022
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44. Correction to: Introduction on Elasticity and Hydrodynamics of Solid Quasicrystals

Author

Fan, Tian-You, Yang, Wenge, Cheng, Hui, Sun, Xiao-Hong, Hull, Robert, Series Editor, Jagadish, Chennupati, Series Editor, Kawazoe, Yoshiyuki, Series Editor, Kruzic, Jamie, Series Editor, Osgood, Richard M., Series Editor, Parisi, Jürgen, Series Editor, Pohl, Udo W., Series Editor, Seong, Tae-Yeon, Series Editor, Uchida, Shin-ichi, Series Editor, Wang, Zhiming M., Series Editor, Fan, Tian-You, Yang, Wenge, Cheng, Hui, and Sun, Xiao-Hong

Published
2022
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45. Conclusion Remarks

Author

Fan, Tian-You, Yang, Wenge, Cheng, Hui, Sun, Xiao-Hong, Hull, Robert, Series Editor, Jagadish, Chennupati, Series Editor, Kawazoe, Yoshiyuki, Series Editor, Kruzic, Jamie, Series Editor, Osgood, Richard M., Series Editor, Parisi, Jürgen, Series Editor, Pohl, Udo W., Series Editor, Seong, Tae-Yeon, Series Editor, Uchida, Shin-ichi, Series Editor, Wang, Zhiming M., Series Editor, Fan, Tian-You, Yang, Wenge, Cheng, Hui, and Sun, Xiao-Hong

Published
2022
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46. The stress field and energy of screw dislocation in smectic-A liquid crystals and on the mistakes of the classical solution

Author

Fan, Tian You and Li, Xian Fang

Subjects
Condensed Matter - Soft Condensed Matter
Abstract

The mistakes of the classical solution of screw dislocations in smectic-A liquid crystals are pointed out. This reveals a serious problem of the well-known theory, which may be named de Gennes-Kleman-Pershan paradox, for many decades in the scientific community of liquid crystal study. The correct solution is given in this letter in terms of simplest, elementary and straightforward solution method. Furthermore, the stress filed and energy of dislocation are discussed in detail. The present article gives a corrected stress field and dislocation energy as well.

Published
2015

47. Symmetry and symmetry breaking of quasicrystals and their applications.

Author

Fan, Tian-You and Tang, Zhi-Yi

Subjects
*QUASICRYSTALS, *SYMMETRY breaking, *MATHEMATICAL physics, *SYMMETRY groups
Abstract

This paper gives a detailed review on symmetry and symmetry breaking of quasicrystals. The symmetry groups of solid and soft-matter quasicrystals observed so far are summarized and the symmetry breakings of quasicrystals are systematically discussed. The present review connects several branches of mathematics and physics and related applications in science and technology are also discussed. [ABSTRACT FROM AUTHOR]

Published
2024
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48. Dynamics of Possible Soft-Matter Quasicrystals of Eightfold Symmetry

Author

Fan, Tian-You, Hull, Robert, Series editor, Jagadish, Chennupati, Series editor, Kawazoe, Yoshiyuki, Series editor, Osgood, Richard M., Series editor, Parisi, Jürgen, Series editor, Pohl, Udo W., Series editor, Seong, Tae-Yeon, Series editor, Uchida, Shin-ichi, Series editor, Wang, Zhiming M., Series editor, and Fan, Tian-You

Published
2017
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49. Dynamics of Soft-Matter Quasicrystals with 12-Fold Symmetry

Author

Fan, Tian-You, Hull, Robert, Series editor, Jagadish, Chennupati, Series editor, Kawazoe, Yoshiyuki, Series editor, Osgood, Richard M., Series editor, Parisi, Jürgen, Series editor, Pohl, Udo W., Series editor, Seong, Tae-Yeon, Series editor, Uchida, Shin-ichi, Series editor, Wang, Zhiming M., Series editor, and Fan, Tian-You

Published
2017
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50. Oseen Flow and Generalized Oseen Flow

Author

Fan, Tian-You, Hull, Robert, Series editor, Jagadish, Chennupati, Series editor, Kawazoe, Yoshiyuki, Series editor, Osgood, Richard M., Series editor, Parisi, Jürgen, Series editor, Pohl, Udo W., Series editor, Seong, Tae-Yeon, Series editor, Uchida, Shin-ichi, Series editor, Wang, Zhiming M., Series editor, and Fan, Tian-You

Published
2017
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