Description |
1 online resource (xiv, 328 pages) : illustrations |
Contents |
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. 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."--Provided by publisher |
Bibliography |
Includes bibliographical references (pages 307-323) and index |
Notes |
English |
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Description based on online resource; title from digital title page (Cambridge, viewed on May 28, 2024) |
Subject |
Pattern formation (Physical sciences)
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Phase rule and equilibrium.
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Dynamics.
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Mathematics.
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Mathematical models.
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Energy transfer.
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Molecular structure.
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Physical sciences.
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Chemical Phenomena
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Mathematics
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Physical Phenomena
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Models, Theoretical
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Biochemical Phenomena
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Biophysical Phenomena
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Mechanical Phenomena
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Energy Transfer
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Phase Transition
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Molecular Structure
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Nonlinear Dynamics
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Kinetics
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Models, Molecular
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Investigative Techniques
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Natural Science Disciplines
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Phenomena and Processes
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Analytical, Diagnostic and Therapeutic Techniques and Equipment
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Disciplines and Occupations
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kinetics (dynamics)
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mathematics.
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applied mathematics.
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mathematical models.
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molecular structure.
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physical sciences.
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SCIENCE -- Essays.
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SCIENCE -- Nanoscience.
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SCIENCE -- Reference.
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Physical sciences
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Molecular structure
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Mathematics
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Mathematical models
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Energy transfer
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Dynamics
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Pattern formation (Physical sciences)
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Phase rule and equilibrium
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Dynamik
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Muster Struktur
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Dynamik -- matematiska modeller.
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Form |
Electronic book
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Author |
Kapral, Raymond, author.
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ISBN |
9780511719660 |
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0511719663 |
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9780521883610 |
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052188361X |
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9780511515804 |
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0511515804 |
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9780511609725 |
|
0511609728 |
|
0511718756 |
|
9780511718755 |
|
1107200202 |
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9781107200203 |
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9786612539541 |
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6612539542 |
|
0511719213 |
|
9780511719219 |
|
0511517084 |
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9780511517082 |
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