Generalized dynamics of soft-matter quasicrystals : mathematical models and solutions /: mathematical models and solutions. (2017)

• Record Type: Book
• Further Information: Note: Tian-You Fan.
• Authors: Fan, Tianyou
• 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
• Publisher Details: Singapore : Springer
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 530.4/1; Physics; Quasicrystals; Soft condensed matter; SCIENCE -- Energy; SCIENCE -- Physics -- Condensed Matter; SCIENCE -- Physics -- General; Quasicrystals; Soft condensed matter; Science -- Mathematical Physics; Technology & Engineering -- Material Science; Technology & Engineering -- Mechanical; Mathematical physics; Testing of materials; Mechanical engineering & materials; Mathematical physics; Surfaces (Physics); Materials; Science -- Mechanics -- Dynamics -- Fluid Dynamics; Materials / States of matter; Electronic books
• Languages: English
• ISBNs: 9789811049507; 9811049505
• Related ISBNs: 9789811049491; 9811049491
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed October 19, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.