Alessio Zaccone – författare
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3 produkter
3 produkter
Del 1015 - Lecture Notes in Physics
Theory of Disordered Solids
From Atomistic Dynamics to Mechanical, Vibrational, and Thermal Properties
Häftad, Engelska, 2023
808 kr
Skickas inom 10-15 vardagar
This book presents a consistent mathematical theory of the non-electronic physical properties of disordered and amorphous solids, starting from the atomic-level dynamics and leading to experimentally verifiable descriptions of macroscopic properties such as elastic and viscoelastic moduli, plasticity, phonons and vibrational spectra, and thermal properties. This theory begins with the assumption of the undeniable existence of an “amorphous lattice”, which allows one to relegate the theoretical uncertainties about the ultimate nature of the glass transition to a subsidiary role and thus take a more pragmatic approach towards the modelling of physical properties. The book introduces the reader not only to the subtle physical concepts underlying the dynamics, mechanics, and statistical physics of glasses and amorphous solids, but also to the essential mathematical and numerical methods that cannot be readily gleaned from specialized literature since they are spread out among many often technically demanding papers. These methods are presented in this book in such a way as to be sufficiently general, allowing for the mathematical or numerical description of novel physical phenomena observed in many different types of amorphous solids (including soft and granular systems), regardless of the atomistic details and particular chemistry of the material. This monograph is aimed at researchers and graduate-level students in physics, materials science, physical chemistry and engineering working in the areas of amorphous materials, soft matter and granular systems, statistical physics, continuum mechanics, plasticity, and solid mechanics. It is also particularly well suited to those working on molecular dynamics simulations, molecular coarse-grained simulations, as well as ab initio atomistic and DFT methods for solid-state and materials science.
Theory of Disordered Solids : From Atomistic Dynamics to Mechanical, Vibrational, and Thermal Properties
Engelska, 2023
631 kr
Skickas inom 5-8 vardagar
1 106 kr
Kommande
This book offers a comprehensive and self-contained introduction to the geometric and algebraic foundations essential for modern theoretical physics, engineering, and materials science. It bridges two powerful mathematical frameworks—differential geometry and group theory—through a unified perspective centered on spatial transformations and coordinate invariance.The first part develops the tools of differential geometry from the ground up, starting with tensors and their transformation properties in Cartesian and Minkowski spaces, progressing to differential forms, affine connections, and covariant derivatives on curved manifolds. These concepts culminate in the derivation of the geodesic equation and Einstein’s field equations, providing a rigorous pathway to general relativity via the Einstein-Hilbert action.The second part introduces the structure and representation of groups, beginning with the axioms of group theory and advancing through discrete and continuous groups, Lie algebras, and representation theory. Special emphasis is placed on physical applications, including quantum mechanics, condensed matter systems, and symmetry principles underlying fundamental laws. Worked examples and character tables are presented in detail, alongside discussions of rotation groups (SO(2), SO(3)), SU(2), and the Lorentz and Poincaré groups.Designed for graduate students, researchers, and final-year undergraduates, this textbook combines step-by-step derivations, intuitive explanations, and real-world applications, making it an indispensable resource for mastering the mathematical language of modern physics.