Generalized Dynamics of Soft-Matter Quasicrystals: Mathematical models and solutions (Springer Series in Materials Science Book 260)

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 of the soft-matter quasicrystals, and determine the stress, velocity and displacement fields. The interactions between phonons, phasons and fluid phonons are discussed in some fundamental materials samples. Mathematical solutions for solid and soft-matter quasicrystals are compared, to help readers to better understand the featured properties of SMQ. Front Matter ....Pages i-xvi Introduction to Soft Matter in Brief (Tian-You Fan)....Pages 1-4 Discovery of Soft-Matter Quasicrystals and Their Properties (Tian-You Fan)....Pages 5-12 Review in Brief on Elasticity and Hydrodynamics of Solid Quasicrystals (Tian-You Fan)....Pages 13-29 Equation of State of Some Structured Fluids (Tian-You Fan)....Pages 31-34 Poisson Brackets and Derivation of Equations of Motion of Soft-Matter Quasicrystals (Tian-You Fan)....Pages 35-49 Oseen Flow and Generalized Oseen Flow (Tian-You Fan)....Pages 51-67 Dynamics of Soft-Matter Quasicrystals with 12-Fold Symmetry (Tian-You Fan)....Pages 69-95 Dynamics of Possible Five and Tenfold Symmetrical Soft-Matter Quasicrystals (Tian-You Fan)....Pages 97-114 Dynamics of Possible Soft-Matter Quasicrystals of Eightfold Symmetry (Tian-You Fan)....Pages 115-133 Dynamics of Soft-Matter Quasicrystals with 18-Fold Symmetry (Tian-You Fan)....Pages 135-149 The Possible 7-, 9- and 14-Fold Symmetry Quasicrystals in Soft Matter (Tian-You Fan)....Pages 151-164 An Application of Analytic Methods to Smectic A Liquid Crystals, Dislocation and Crack (Tian-You Fan)....Pages 165-177 Conclusion Remarks (Tian-You Fan)....Pages 179-180 Back Matter ....Pages 181-184