Generalized Dynamics of Soft-Matter Quasicrystals Mathematical models and solutions /

The book systematically introduces the mathematical models and solutions of generalized hydrodynamics of soft-matter quasicrystals (SMQ). It provides methods for solving the initial-boundary value problems in these systems. The solutions obtained demonstrate the distribution, deformation and motion...

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Main Author: Fan, Tian-You. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Singapore : Springer Singapore : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:Springer Series in Materials Science, 260
Subjects:
Online Access:https://doi.org/10.1007/978-981-10-4950-7
Table of Contents:
  • A brief introduction to soft matter
  • Soft-matter quasicrystals and their properties
  • Elasticity and hydrodynamics of solid quasicrystals
  • Generalized Langevin equation
  • Equation of state of structured liquid
  • Poisson bracket method and equations of motion of soft-matter quasicrystals
  • Dynamics of soft-matter quasicrystals with 12-fold symmetry
  • Dynamics of soft-matter quasicrystals with 18-fold symmetry
  • Dynamics of possible 5- and 10-fold symmetrical soft-matter quasicrystals
  • Dynamics of possible soft-matter quasicrystals 8-fold symmetry
  • An application to smectic-A liquid crystals, dislocation and crack
  • Conclusions and remarks.