ID - 131918152 TI - Generalized Dynamics of Soft-Matter Quasicrystals : Mathematical Models, Solutions and Applications AU - Fan, Tian-You AU - Yang, Wenge AU - Cheng, Hui AU - Sun, Xiao-Hong PY - 2022 SN - 9789811666285 9789811666278 9789811666292 9789811666308 PB - Singapore Springer Nature DB - UniCat KW - Mathematical physics KW - Fluid mechanics KW - Solid state physics KW - Matter physics KW - Chemistry of complexes KW - Applied physical engineering KW - complexen (chemie) KW - toegepaste mechanica KW - materialen (technologie) KW - wiskunde KW - fysica KW - mechanica KW - vloeistoffen UR - https://www.unicat.be/uniCat?func=search&query=sysid:131918152 AB - 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. . ER -