Generalized Dynamics of Soft-Matter Quasicrystals, Tian-You Fan

Автор: Fan Tian-You, Yang Wenge, Cheng Hui
Название: Generalized Dynamics of Soft-Matter Quasicrystals: Mathematical Models, Solutions and Applications
ISBN: 981166627X ISBN-13(EAN): 9789811666278
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This book highlights the mathematical models and solutions of the generalized dynamics of soft-matter quasicrystals (SMQ) and introduces possible applications of the theory and methods. Based on the theory of quasiperiodic symmetry and symmetry breaking, the book treats the dynamics of individual quasicrystal systems by reducing them to nonlinear partial differential equations and then provides methods for solving the initial-boundary value problems in these equations. The solutions obtained demonstrate the distribution, deformation and motion of SMQ and determine the stress, velocity and displacement fields. The interactions between phonons, phasons and fluid phonons are discussed in some fundamental materials samples. The reader benefits from a detailed comparison of the mathematical solutions for both solid and soft-matter quasicrystals, gaining a deeper understanding of the universal properties of SMQ. The second edition covers the latest research progress on quasicrystals in topics such as thermodynamic stability, three-dimensional problems and solutions, rupture theory, and the photonic band-gap and its applications. These novel chapters make the book an even more useful and comprehensive reference guide for researchers in condensed matter physics, chemistry and materials sciences.

Автор: Zbigniew M. Stadnik
Название: Physical Properties of Quasicrystals
ISBN: 3642635938 ISBN-13(EAN): 9783642635939
Издательство: Springer
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Цена: 28734.00 р.
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Описание: Quasicrystals are a new form of the solid state which differ from the other two known forms, crystalline and amorphous, by possesing a new type of long-range translational order, called quasiperiodicty, and a noncrystallographic orientational order.

Автор: Fan Tian-You
Название: Mathematical Theory of Elasticity of Quasicrystals and Its Applications
ISBN: 9811094950 ISBN-13(EAN): 9789811094958
Издательство: Springer
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Цена: 27950.00 р.
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Описание: This interdisciplinary work on condensed matter physics, the continuum mechanics of novel materials, and partial differential equations, discusses the mathematical theory of elasticity and hydrodynamics of quasicrystals, as well as its applications.