In materials, critical phenomena such as phase transitions, plastic deformation and fracture are intimately related to self-organization. Understanding the origin of spatio-temporal order in systems far from thermal equilibrium and the selection mechanisms of spatial structures and their symmetries is a major theme of present day research on the structure of continuous matter. Furthermore, the development of methods for producing spatially-ordered and self-assembled microstructure in solids by non-equilibrium methods opens the door to many technological applications. There is an increasing...
In materials, critical phenomena such as phase transitions, plastic deformation and fracture are intimately related to self-organization. Understandin...
Spatio-temporal patterns appear almost everywhere in nature, and their description and understanding still raise important and basic questions. However, if one looks back 20 or 30 years, definite progress has been made in the modeling of insta bilities, analysis of the dynamics in their vicinity, pattern formation and stability, quantitative experimental and numerical analysis of patterns, and so on. Universal behaviors of complex systems close to instabilities have been determined, leading to the wide interdisciplinarity of a field that is now referred to as nonlinear science or science of...
Spatio-temporal patterns appear almost everywhere in nature, and their description and understanding still raise important and basic questions. Howeve...
This book deals with the methods and concepts of nonlinear dynamics, pattern formation, bifurcation theory, irreversible thermodynamics, and their application to advanced materials science problems. The focus is on the effect of dynamical instabilities on materials behavior and properties.
The book is addressed to physicists, chemists, mathematicians and engineers who wish to work in this domain, or to learn about its latest advances. It is also aimed at bridging gaps between science and technology.
This book deals with the methods and concepts of nonlinear dynamics, pattern formation, bifurcation theory, irreversible thermodynamics, and their app...
Spatio-temporal patterns appear almost everywhere in nature, and their description and understanding still raise important and basic questions. However, if one looks back 20 or 30 years, definite progress has been made in the modeling of insta bilities, analysis of the dynamics in their vicinity, pattern formation and stability, quantitative experimental and numerical analysis of patterns, and so on. Universal behaviors of complex systems close to instabilities have been determined, leading to the wide interdisciplinarity of a field that is now referred to as nonlinear science or science of...
Spatio-temporal patterns appear almost everywhere in nature, and their description and understanding still raise important and basic questions. Howeve...