Self-organized and self-assembled structures -- Order parameter, free energy and phase transitions -- Free energy functional -- Phase separation kinetics -- Langevin model for nonconserved order parameter systems -- Langevin model for conserved order parameter systems -- Interface dynamics at late times -- Domain growth and structure factor for model B -- Order parameter correlation function -- Vector order parameter and topological defects -- Liquid crystals -- Lifshitz-Slyozov-Wagner theory -- Systems with long-range repulsive interactions -- Kinetics of systems with competing interactions -- Competing interactions and defect dynamics -- Diffusively rough interfaces -- Morphological instability in solid films -- Propagating chemical fronts -- Transverse front instabilities -- Cubic autocatalytic fronts -- Competing interactions and front repulsion -- Labyrinthine patterns in chemical systems -- Turing patterns -- Excitable media -- Oscillatory media and complex Ginzburg-Landau equation -- Spiral waves and defect turbulence -- Complex-oscillatory media -- Resonantly-forced oscillatory media -- Nonequilibrium patterns in laser-induced melting -- Reaction dynamics and phase segregation -- Active materials
Summary
Physical and biological systems driven out of equilibrium may spontaneously evolve to form spatial structures. In some systems molecular constituents may self-assemble to produce complex ordered structures. This book describes how such pattern formation processes occur and how they can be modeled
Bibliography
Includes bibliographical references (pages 307-323) and index
