Generalized Dynamics of Soft-Matter Quasicrystals Mathematical Models, Solutions and Applications

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Synopsis

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.

Book details

Edition:
2nd ed. 2022
Series:
Springer Series in Materials Science (Book 260)
Author:
Tian-You Fan, Wenge Yang, Hui Cheng, Xiao-Hong Sun
ISBN:
9789811666285
Related ISBNs:
9789811666278
Publisher:
Springer Singapore, Singapore
Pages:
N/A
Reading age:
Not specified
Includes images:
Yes
Date of addition:
2022-05-15
Usage restrictions:
Copyright
Copyright date:
2022
Copyright by:
The Editor 
Adult content:
No
Language:
English
Categories:
Earth Sciences, Mathematics and Statistics, Nonfiction, Science, Technology