Generalized dynamics of soft-matter quasicrystals : mathematical models, solutions and applications / Tian-You Fan, Wenge Yang, Hui Cheng, Xiao-Hong Sun.
Fan, Tianyou, author.; Yang, Wenge, author.; Cheng, Hui, author.; Sun, Xiao-Hong, author.
2022
QC173.4.Q36 F36 2022
Available Online

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Title Generalized dynamics of soft-matter quasicrystals : mathematical models, solutions and applications / Tian-You Fan, Wenge Yang, Hui Cheng, Xiao-Hong Sun.
Author Fan, Tianyou, author.
Edition Second edition.
ISBN 9789811666285 (electronic bk.)
9811666288 (electronic bk.)
9789811666278
981166627X
DOI https://doi.org/10.1007/978-981-16-6628-5
Published Singapore : Springer, [2022]
Copyright ©2022
Language English
Description 1 online resource : illustrations (chiefly color).
Other Standard Identifiers 10.1007/978-981-16-6628-5 doi
Call Number QC173.4.Q36 F36 2022
Dewey Decimal Classification 530.4/1
Summary This book highlights the mathematical models and solutions of the generalized dynamics of soft-matter quasicrystals (SMQ) and introduces possible applications of the theory and methods. Based on the theory of quasiperiodic symmetry and symmetry breaking, the book treats the dynamics of individual quasicrystal systems by reducing them to nonlinear partial differential equations and then provides methods for solving the initial-boundary value problems in these equations. The solutions obtained demonstrate the distribution, deformation and motion of SMQ and determine the stress, velocity and displacement fields. The interactions between phonons, phasons and fluid phonons are discussed in some fundamental materials samples. The reader benefits from a detailed comparison of the mathematical solutions for both solid and soft-matter quasicrystals, gaining a deeper understanding of the universal properties of SMQ. The second edition covers the latest research progress on quasicrystals in topics such as thermodynamic stability, three-dimensional problems and solutions, rupture theory, and the photonic band-gap and its applications. These novel chapters make the book an even more useful and comprehensive reference guide for researchers in condensed matter physics, chemistry and materials sciences. .
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed January 28, 2022).
Added Author Yang, Wenge, author.
Cheng, Hui, author.
Sun, Xiao-Hong, author.
Series Springer series in materials science ; v. 260. 2196-2812
Available in Other Form Print version: 9789811666278
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Notations
Preface to the first edition
Preface to the second Edition
Introduction to soft matter
Discovery of soft-matter quasicrystals and their properties
Brief review on elasticity and hydrodynamics of solid quasicrystals
Case study of equation of state of several structured fluids
Poisson bracket method and equations of motion of soft-matter quasicrystals
Oseen theory and Oseen solution
Dynamics of soft-matter quasicrystals with 12-fold symmetry
Dynamics of 10-fold symmetrical soft-matter quasicrystals
Dynamics of possible soft-matter quasicrystals with 8-fold symmetry
Dynamics of soft-matter quasicrystals with 18-fold symmetry
Dynamics of possible soft-matter quasicrystals with 7-, 9- and 14-fold symmetries
Re-discussion on symmetry breaking and elementary excitations concerning quasicrystals
An application to thermodynamic stability of soft-matter quasicrystals
Applications to device physics: photon band-gap of holographic photonic quasicrystals
Possible applications to general soft matter
Applications to smectic-A liquid crystals, dislocation and crack
Conclusion remarks.

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