COMPLEXITY & CRITICALITY (V1) - Christensen Kim
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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 ... Täydellinen kuvaus
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Kuvaus
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
Lisätietoja
| Kirjoittaja | Christensen Kim |
|---|---|
| Julkaisija | ICP |
| Julkaisuvuosi | 2005 |
| Kannen tyyppi | Pehmeäkantinen |
| EAN | 9781860945175 |