Fr. 93.60

Complexity and Criticality

English · Paperback / Softback

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Klappentext This book provides a challenging and stimulating introduction to the contemporary topics of complexity and criticality! and explores their common basis of scale invariance! a central unifying theme of the book. Criticality refers to the behaviour of extended systems at a phase transition where scale invariance prevails. The many constituent microscopic parts bringing about macroscopic phenomena that cannot be understood by considering a single part alone. The phenomenology of phase transitions is introduced by considering percolation! a simple model with a purely geometrical phase transition! thus enabling the reader to become intuitively familiar with concepts such as scale invariance and renormalisation. The Ising model is then introduced! which captures a thermodynamic phase transition from a disordered to an ordered system as the temperature is lowered in zero external field. By emphasising analogies between percolation and the Ising model! the reader's intuition of phase transiti

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