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

• Main Author: Fan, Tian-You (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2017.
• Series: Springer Series in Materials Science, 260
• Subjects: Physics.; Amorphous substances.; Complex fluids.; Continuum mechanics.; Materials science.; Soft and Granular Matter, Complex Fluids and Microfluidics.; Mathematical Methods in Physics.; Characterization and Evaluation of Materials.; Continuum Mechanics and Mechanics of Materials.

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...

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.