作者：范天佑著
页数：187
出版社：北京理工大学出版社
出版日期：2020
ISBN：9787568264709
电子书格式：pdf/epub/txt
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 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
