Dynamics of Self-Organized and Self-Assembled Structures

Inbunden, Engelska, 2009

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Beskrivning

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. Experimental observations are used to introduce the diverse systems and phenomena leading to pattern formation. The physical origins of various spatial structures are discussed, and models for their formation are constructed. In contrast to many treatments, pattern-forming processes in nonequilibrium systems are treated in a coherent fashion. The book shows how near-equilibrium and far-from-equilibrium modeling concepts are often combined to describe physical systems. This inter-disciplinary book can form the basis of graduate courses in pattern formation and self-assembly. It is a useful reference for graduate students and researchers in a number of disciplines, including condensed matter science, nonequilibrium statistical mechanics, nonlinear dynamics, chemical biophysics, materials science, and engineering.

Produktinformation

Utgivningsdatum:2009-03-26
Mått:179 x 254 x 20 mm
Vikt:830 g
Format:Inbunden
Språk:Engelska
Antal sidor:342
Förlag:Cambridge University Press
ISBN:9780521883610

Utforska kategorier

Tillämpad matematik inom Naturvetenskap och teknik

Mer om författaren

Rashmi C. Desai is Professor Emeritus of Physics at the University of Toronto. Raymond Kapral is Professor of Chemistry at the University of Toronto.

Recensioner i media

'I recommend this book. It is a practical no-nonsense cookbook which should be on the bookshelves of graduate students in this area.' Martin Grant, Physics in Canada

Innehållsförteckning

Preface; 1. Self-organized and self-assembled structures; 2. Order parameter, free energy and phase transitions; 3. Free energy functional; 4. Phase separation kinetics; 5. Langevin model for nonconserved order parameter systems; 6. Langevin model for conserved order parameter systems; 7. Interface dynamics at late times; 8. Domain growth and structure factor for model B; 9. Order parameter correlation function; 10. Vector order parameter and topological defects; 11. Liquid crystals; 12. Lifshitz-Slyozov-Wagner theory; 13. Systems with long-range repulsive interactions; 14. Kinetics of systems with competing interactions; 15. Competing interactions and defect dynamics; 16. Diffusively-rough interfaces; 17. Morphological instability in solid films; 18. Propagating chemical fronts; 19. Transverse front instabilities; 20. Cubic autocatalytic fronts; 21. Competing interactions and front repulsion; 22. Labyrinthine patterns in chemical systems; 23. Turing patterns; 24. Excitable media; 25. Oscillatory media and complex Ginzburg-Landau equation; 26. Spiral waves and defect turbulence; 27. Complex-oscillatory media; 28. Resonantly-forced oscillatory media; 29. Nonequilibrium patterns in laser-induced melting; 30. Reaction dynamics and phase segregation; 31. Active materials; References; Index.