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Generalized Dynamics of Soft-Matter Quasicrystals - Mathematical Models, Solutions and Applications (Hardcover, 2nd ed. 2022):... Generalized Dynamics of Soft-Matter Quasicrystals - Mathematical Models, Solutions and Applications (Hardcover, 2nd ed. 2022)
Tianyou Fan, Wenge Yang, Hui Cheng, Xiaohong Sun
R2,894 R2,023 Discovery Miles 20 230 Save R871 (30%) Ships in 12 - 17 working days

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.

Generalized Dynamics of Soft-Matter Quasicrystals - Mathematical Models, Solutions and Applications (Paperback, 2nd ed. 2022):... Generalized Dynamics of Soft-Matter Quasicrystals - Mathematical Models, Solutions and Applications (Paperback, 2nd ed. 2022)
Tianyou Fan, Wenge Yang, Hui Cheng, Xiaohong Sun
R4,216 Discovery Miles 42 160 Ships in 10 - 15 working days

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.

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