软物质准晶广义动力学：数学模型和解（英文版）

软物质准晶广义动力学：数学模型和解（英文版）

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作者: 范天佑著

出版社: 北京理工大学出版社

出版时间: 2020-04

版次: 1

ISBN: 9787568264709

定价: 168.00

装帧: 精装

开本: 16开

纸张: 胶版纸

页数: 187页

分类: 国学古籍>综合性图书

1 张插图图片

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¡¡¡¡The monograph systematically introduces the mathematical models and solutions of generalized dynamics of soft-matter quasicrystals £¨SMQ£©. The solutions obtained demonstrate the distribution£¬ deformation and motion of the matter and explore the interactions among phonons£¬ phasons and fluid phonon through some fundamental SMQ samples. Chapter 1 A Brief Introduction to Soft Matter

Chapter 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 of Soft-Matter Quasicrystals
2£®4 First and Second Kinds of Two-Dimensional Quasicrystals
2£®5 Motivation of Our Discussion in the Book

Chapter 3 Review in Brief of Elasticity and Hydrodynamics of Solid Quasicrystals
3£®1 Physical Basis of Elasticity of Quasicrystals£¬ Phonons and Phasons
3£®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£®9 Solution of Generalized Hydrodynamics of Solid Quasicrystals
3£®10 Conclusion and Discussion

Chapter 4 Equation of State of Some Structured Fluids
4£®1 Overview on Equation of State in some Fluids
4£®2 Possible Equations of State
4£®3 Applications to Hydrodynamics of Soft-Matter Quasicrystals

Chapter 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 Quasicrystals
5£®7 Poisson Brackets Based on Lie Algebra

Chapter 6 Oseen Flow and Generalized Oseen Flow
6£® l 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
¡¡

Chapter 7 Dynamics of Soft-Matter Quasicrystals with 12-Fold Symmetry
Chapter 8 Dynamics of Possible 5- and 10-Fold Symmetrical Soft-Matter Quasicrystals
Chapter 9 Dynamics of Possible Soft-Matter Quasicrystals of 8-Fold Symmetry
Chapter 10 Dynamics of Soft-Matter Quasicrystals with 18-Fold Symmetry
Chapter 11 The Possible 7-£¬ 9- and 14-Fold Symmetry Ouasicrystals in Soft Matter
Chapter 12 An Application of Analytic Methods to Smectic A Liquid Crystals£¬ Dislocation and Crack
Chapter 13 Conclusion Remarks
内容简介:
¡¡¡¡The monograph systematically introduces the mathematical models and solutions of generalized dynamics of soft-matter quasicrystals £¨SMQ£©. The solutions obtained demonstrate the distribution£¬ deformation and motion of the matter and explore the interactions among phonons£¬ phasons and fluid phonon through some fundamental SMQ samples.
目录:
Chapter 1 A Brief Introduction to Soft Matter

Chapter 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 of Soft-Matter Quasicrystals
2£®4 First and Second Kinds of Two-Dimensional Quasicrystals
2£®5 Motivation of Our Discussion in the Book

Chapter 3 Review in Brief of Elasticity and Hydrodynamics of Solid Quasicrystals
3£®1 Physical Basis of Elasticity of Quasicrystals£¬ Phonons and Phasons
3£®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£®9 Solution of Generalized Hydrodynamics of Solid Quasicrystals
3£®10 Conclusion and Discussion

Chapter 4 Equation of State of Some Structured Fluids
4£®1 Overview on Equation of State in some Fluids
4£®2 Possible Equations of State
4£®3 Applications to Hydrodynamics of Soft-Matter Quasicrystals

Chapter 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 Quasicrystals
5£®7 Poisson Brackets Based on Lie Algebra

Chapter 6 Oseen Flow and Generalized Oseen Flow
6£® l 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
¡¡

Chapter 7 Dynamics of Soft-Matter Quasicrystals with 12-Fold Symmetry
Chapter 8 Dynamics of Possible 5- and 10-Fold Symmetrical Soft-Matter Quasicrystals
Chapter 9 Dynamics of Possible Soft-Matter Quasicrystals of 8-Fold Symmetry
Chapter 10 Dynamics of Soft-Matter Quasicrystals with 18-Fold Symmetry
Chapter 11 The Possible 7-£¬ 9- and 14-Fold Symmetry Ouasicrystals in Soft Matter
Chapter 12 An Application of Analytic Methods to Smectic A Liquid Crystals£¬ Dislocation and Crack
Chapter 13 Conclusion Remarks

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