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COMPLEXITY & CRITICALITY (V1)

By Christensen Kim

COMPLEXITY & CRITICALITY (V1) Mathematics

COMPLEXITY & CRITICALITY (V1)

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Description
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
Product details
Binding:
Paperback
Edition:
illustrated
Number of Pages:
410
Release Date:
2005-12-30
Publication Date:
2005-10-04
Publisher:
ICP
Languages:
Original: English
ISBN10:
186414517X1860945171
ISBN13:
9781860945175
Weight:
591 g
Height:
152 cm
Width:
229 cm
Thickness:
23 cm
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Very good
Almost no signs of wear. Book pages have no markings, accessories are intact and all other media are in good condition.
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