1.

Record Nr.

UNINA9910254587303321

Autore

Fan Tian-You

Titolo

Generalized Dynamics of Soft-Matter Quasicrystals : Mathematical models and solutions / / by Tian-You Fan

Pubbl/distr/stampa

Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017

ISBN

981-10-4950-5

Edizione

[1st ed. 2017.]

Descrizione fisica

1 online resource (XVI, 184 p. 54 illus., 45 illus. in color.)

Collana

Springer Series in Materials Science, , 0933-033X ; ; 260

Disciplina

530.41

Soggetti

Amorphous substances

Complex fluids

Physics

Materials science

Mechanics

Mechanics, Applied

Soft and Granular Matter, Complex Fluids and Microfluidics

Mathematical Methods in Physics

Characterization and Evaluation of Materials

Solid Mechanics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references at the end of each chapters and index.

Nota di contenuto

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.

Sommario/riassunto

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.