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Generalized dynamics of soft-matter quasicrystals : mathematical models and solutions

Author: Tianyou Fan
Publisher: Singapore : Springer, 2017.
Series: Springer series in materials science, v. 260.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Electronic book
Additional Physical Format: Print version:
Fan, Tian-You.
Generalized dynamics of soft-matter quasicrystals.
Singapore : Springer, 2017
(OCoLC)985082378
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Tianyou Fan
ISBN: 9789811049507 9811049505
OCLC Number: 1006502731
Description: 1 online resource.
Contents: Preface; Contents; Notations; 1 Introduction to Soft Matter in Brief; References; 2 Discovery of Soft-Matter Quasicrystals and Their Properties; 2.1 Soft-Matter Quasicrystals with 12- and 18-Fold Symmetries; 2.2 Characters of Soft-Matter Quasicrystals; 2.3 Some Concepts Concerning Possible Hydrodynamics on Soft-Matter Quasicrystals; 2.4 First and Second Kinds of Two-Dimensional Quasicrystals; 2.5 Motivation of Our Discussion in the Book; References; 3 Review in Brief on Elasticity and Hydrodynamics of Solid Quasicrystals. 3.1 Physical Basis of Elasticity of Quasicrystals, Phonons and Phasons3.2 Deformation Tensors; 3.3 Stress Tensors and Equations of Motion; 3.4 Free Energy Density and Elastic Constants; 3.5 Generalized Hooke's Law; 3.6 Boundary Conditions and Initial Conditions; 3.7 Solutions of Elasticity; 3.8 Generalized Hydrodynamics of Solid Quasicrystals; 3.8.1 Viscosity of Solid; 3.8.2 Generalized Hydrodynamics of Solid Quasicrystals; 3.9 Solution of Generalized Hydrodynamics of Solid Quasicrystals; 3.10 Conclusion and Discussion; References. 4 Equation of State of Some Structured Fluids4.1 Overview on Equation of State in Some Fluids; 4.2 Possible Equations of State; 4.3 Applications to Hydrodynamics of Soft-Matter Quasicrystals; References; 5 Poisson Brackets and Derivation of Equations of Motion of Soft-Matter Quasicrystals; 5.1 Brown Motion and Langevin Equation; 5.2 Extended Version of Langevin Equation; 5.3 Multivariable Langevin Equation, Coarse Graining; 5.4 Poisson Bracket Method in Condensed Matter Physics; 5.5 Application to Quasicrystals. 5.6 Equations of Motion of Soft-Matter Quasicrystals5.6.1 Generalized Langevin Equation; 5.6.2 Derivation of Hydrodynamic Equations of Soft-Matter Quasicrystals; 5.7 Poisson Brackets Based on Lie Algebra; References; 6 Oseen Flow and Generalized Oseen Flow; 6.1 Navier-Stokes Equations; 6.2 Stokes Approximation; 6.3 Stokes Paradox; 6.4 Oseen Modification; 6.5 Oseen Steady Solution of Flow of Incompressible Fluid Past Cylinder; 6.6 Generalized Oseen Flow of Compressible Viscous Fluid Past a Circular Cylinder; 6.6.1 Introduction. 6.6.2 Basic Equations6.6.3 Flow Past a Circular Cylinder; 6.6.4 Quasi-Steady Analysis--Numerical Solution; 6.6.5 Conclusion and Discussion; References; 7 Dynamics of Soft-Matter Quasicrystals with 12-Fold Symmetry; 7.1 Two-Dimensional Governing Equations of Soft-Matter Quasicrystals of 12-Fold Symmetry; 7.2 Simplification of Governing Equations; 7.2.1 Steady Dynamic Problem of Soft-Matter Quasicrystals with 12-Fold Symmetry; 7.2.2 Pure Fluid Dynamics; 7.3 Dislocation and Solution.
Series Title: Springer series in materials science, v. 260.
Responsibility: Tian-You Fan.

Abstract:

The book systematically introduces the mathematical models and solutions of generalized hydrodynamics of soft-matter quasicrystals (SMQ). Mathematical solutions for solid and soft-matter  Read more...

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"The pioneering treatise presents a clear and lucid account of the generalized dynamics of soft-matter quasicrystals. The treatise may give vision and insight to fascinate a very new and growing area Read more...

 
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