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The surprising connections which have developed between physics and various fields as diverse as biology and economics now constitute the fascinating research area known as complex materials and systems. The study of complex materials and processes is rapidly expanding, and many important experimental and theoretical discoveries have been made in recent years. Statistical physics is key to exploring this new and expanding field, enabling an understanding of real-world phenomena compromised of complex materials or exhibiting complex processes. This book includes lectures presented at the CLXXVI International School of Physics “Enrico Fermi”, held in Varenna, Italy, in July 2010. The school focused on recent advances and developing perspectives in the study of complex materials and processes, as related to physics and biology. The book provides both an introduction and a complete presentation of recent theoretical and experimental developments for each topic. Topics addressed include: scaling and universality, supra-molecular systems and solutions, polymer systems, static and dynamics of liquid water, arrested dynamics and jamming, dynamics of out of equilibrium systems, physics of confined liquids, granular matter, physics of biological and medical systems, networks in physical and social sciences, turbulence in physics, biology and economics and finally, switching phenomena in biology and economics. The book provides reviews of these cutting edge topics by leading authorities and will be a reference work useful to both advanced research professionals and beginning graduate students.

Investigation of the fractal and scaling properties of disordered systems has recently become a focus of great interest in research. Disordered or amorphous materials, like glasses, polymers, gels, colloids, ceramic superconductors and random alloys or magnets, do not have a homogeneous microscopic structure. The microscopic environment varies randomly from site to site in the system and this randomness adds to the complexity and the richness of the properties of these materials. A particularly challenging aspect of random systems is their dynamical behavior. Relaxation in disordered systems generally follows an unusual time-dependent trajectory. Applications of scaling and fractal concepts in disordered systems have become a broad area of interdisciplinary research, involving studies of the physics, chemistry, mathematics, biology and engineering aspects of random systems.This book is intended for specialists as well as graduate and postdoctoral students working in condensed-matter or statistical physics. It provides state-of-the-art information on the latest developments in this important and timely topic. The book is divided into three parts: Part I deals with critical phenomena, Part II is devoted to discussion of slow dynamics and Part III involves the application of scaling concepts to random systems. The effects of disorder at the mesoscopic scale as well as the latest results on the dynamical properties of disordered systems are presented. In particular, recent developments in static and dynamic scaling theories and applications of fractal concepts to disordered systems are discussed.