Muhammad Sahimi Bücher

Disordered systems, particularly heterogeneous materials, are crucial in both natural and industrial contexts. Recent advancements in experimental techniques allow for in-depth analysis of their morphology, leading to a better understanding of their properties. Innovative theoretical methods, including renormalization group theory and percolation theory, enable the interpretation of experimental data and prediction of material properties across various scales. Coupled with enhanced computational power, these developments facilitate modeling at the molecular level, paving the way for tailored applications.

Focusing on the intricate relationship between rigidity and elasticity, this book delves into discrete approaches to elastic networks, particularly in biological materials. It explores the number of elastic moduli in lattices, numerical simulations, and the derivation of elastic networks from continuum elasticity, highlighting models like the Born model and its limitations. The text further examines rigidity percolation, its correlation lengths, and phase transitions, while also discussing central-force networks and bond-bending forces, offering a comprehensive understanding of elastic properties in various contexts.

The second edition of this book reflects significant advancements in percolation theory and its applications since the first edition in 1994. It features completely rewritten and reorganized chapters, updated through 2022, along with eight new chapters that explore diverse applications across various fields. Topics include biological materials, networks, directed percolation, earthquakes, geochemical processes, and large-scale real-world issues, such as technology dissemination and ad-hoc mobile networks, highlighting the theory's relevance in contemporary research.