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

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 qu...

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Bibliographic Details
Main Authors: Fan, Tian-You, Yang, Wenge (Author), Cheng, Hui (Author), Sun, Xiao-Hong (Author)
Format: eBook
Language:English
Published: Singapore Springer Nature Singapore 2022, 2022
Edition:2nd ed. 2022
Series:Springer Series in Materials Science
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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