Understanding Marvelous Patterns in Complex Systems by Müller, Stefan C.; Parisi, Jürgen;

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Beszerezhetőség

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A termék adatai:

Kiadó Springer Nature Switzerland
Megjelenés dátuma 2026. május 17.

ISBN 9783032087522
Kötéstípus Keménykötés
Terjedelem316 oldal
Méret 279x210 mm
Nyelv angol
Illusztrációk VIII, 316 p. 286 illus., 197 illus. in color.

Kategóriák

Alkalmazott matematika Taxonómia, rendszertan A mérnöki tudományok általános kérdései

Hosszú leírás:

This book explores the fascinating and ubiquitous occurrence of spatial patterns and forms, generated in nature by the interplay of chemical and biological reactions with transport processes, as there are diffusion, convection, chemotaxis, or others. Their role in our perception and in scientific investigations is immanent in the concepts of natural laws. They have the capacity to explain phenomena like self-organization in systems far away from thermodynamic equilibrium or to formulate the influence of nonlinear interactions on complexity. Just take the omnipresent waves, as they propagate in liquids with or without reactivity, act inside biological cells or become apparent in a biomedical context, as in the heart during arrhythmias or in the visual cortex, when a migraine aura is noticed. Such phenomena are prominent topics of future-oriented, and hopefully beneficial research.
Our colleagues and friends contribute to this book in presentations on the origins, mechanisms, and dynamics relevant for their special research endeavors, from earlier to actual, more complex topics. These comprise numerous scientific fields in theory, mathematics, physics and chemistry laboratories, field studies on morphogenesis and the course of biological evolution, or analysis of specific medical data, including epidemiological studies.
On the whole, the book provides a valuable source of information, while also taking the reader on an aesthetic journey through an attractive world full of color and “visual adventures.”

Több

Tartalomjegyzék:

Introduction.- A Phenomenological Overview of Structural Elements and Characteristic Shapes.- Gallery.- Dirichlet Domains: Can They Help to Extract Common Pattern Formation Mechanisms?.- Spirals in Turban Shell.- Rings versus Spirals.- Spiral and Target Patterns in Stingless Bee Combs.- Theory and Specific Methods.- Thermodynamic Principles for Nonequilibrium Chemical Systems.- Fluctuations and Stochastic Theory.- Two-Dimensional Spectrophotometry I - Pioneering Work on Visualization of Chemical Gradients.- Two-Dimensional Spectrophotometry II - Spreading of Reactive Droplets.