Generalized dynamics of soft-matter quasicrystals : mathematical models and solutions
著者
書誌事項
Generalized dynamics of soft-matter quasicrystals : mathematical models and solutions
(Springer series in materials science, 260)
Springer, c2017
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注記
Includes bibliographical references and index
"Jointly published with Beijing Institution of Technology Press, Beijing, China"--T.p. verso
"The print editon is not for sale in China Mainland."--T.p. verso
内容説明・目次
内容説明
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.
目次
A brief introduction to soft matter.- Soft-matter quasicrystals and their properties.- Elasticity and hydrodynamics of solid quasicrystals.- Generalized Langevin equation.- Equation of state of structured liquid.- Poisson bracket method and equations of motion of soft-matter quasicrystals.- Dynamics of soft-matter quasicrystals with 12-fold symmetry.- Dynamics of soft-matter quasicrystals with 18-fold symmetry.- Dynamics of possible 5- and 10-fold symmetrical soft-matter quasicrystals.- Dynamics of possible soft-matter quasicrystals 8-fold symmetry.- An application to smectic-A liquid crystals, dislocation and crack.- Conclusions and remarks.
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