Complexity and Criticality

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

Product details

• Authors: Kim Christensen, Kim (Imperial College London Christensen, Kim Moloney Christensen, Christensen Kim, CHRISTENSEN KIM MOLONEY NICHOLAS, Christensen Kim, Kim Christensen & Nicholas R Moloney, Nicholas R Moloney, Nicholas R. Moloney, Nicholas R Moloney
• Publisher: Imperial College Press
• Languages: English
• Product format: Paperback / Softback
• Released: 04.10.2005
• EAN: 9781860945175
• ISBN: 978-1-86094-517-5
• No. of pages: 408
• Series: Imperial College Press Advanced Physics Texts; Advanced Physics Texts
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; Non-fiction book > Dictionaries, reference works > Miscellaneous; SCIENCE / Physics / General, MATHEMATICS / Linear & Nonlinear Programming, Nonlinear science, Applied physics