Nova Publishers
My Account Nova Publishers Shopping Cart
HomeBooksSeriesJournalsReference CollectionseBooksInformationSalesImprintsFor Authors
            
  Top » Catalog » Books » Earth Sciences » Earth Science - General » Horizons in Earth Science Research. Volume 3 Chapters » My Account  |  Cart Contents  |  Checkout   
Quick Find
  
Use keywords to find the product you are looking for.
Advanced Search
What's New? more
_Cancer Research Journal - This journal ceased publication after 4#4 (2010). Back Issues are available.
$195.00
Shopping Cart more
0 items
Information
Shipping & Returns
Privacy Notice
Conditions of Use
Contact Us
Notifications more
NotificationsNotify me of updates to Scale Invariant Avalanches: A Critical Confusion pp. 157-188
Tell A Friend
 
Tell someone you know about this product.
Scale Invariant Avalanches: A Critical Confusion pp. 157-188 $100.00
Authors:  (Osvanny Ramos, Physique et Mecanique des Milieux Heterogenes, Ecole Superieure de Physique et Chimie Industrielles de Paris, France)
Abstract:
The “Self-organized criticality” (SOC), introduced in 1987 by Bak, Tang and Wiesenfeld, was an attempt to explain the 1/f noise, but it rapidly evolved towards a more ambitious scope: explaining scale invariant avalanches. In two decades, phenomena as diverse as earthquakes, granular piles, snow avalanches, solar flares, su-perconducting vortices, sub-critical fracture, evolution, and even stock market crashes have been reported to evolve through scale invariant avalanches. The theory, based on the key axiom that a critical state is an attractor of the dynamics, presented an expo nent close to −1 (in two dimensions) for the power-law distribution of avalanche sizes. However, the majority of real phenomena classified as SOC present smaller exponents, i.e., larger absolute values of negative exponents, a situation that has provoked a lot of confusion in the field of scale invariant avalanches. The main goal of this chapter is to shed light on this issue. The essential role of the exponent value of the power-law distribution of avalanche sizes is discussed. The exponent value controls the ratio of small and large events, the energy balance–required for stationary systems–and the critical properties of the dynamics. A condition of criticality is introduced. As the exponent value decreases, there is a decrease of the critical properties, and consequently the system becomes, in principle, predictable. Prediction of scale invariant avalanches in both experiments and simulations are presented. Other sources of confusion as the use of logarithmic scales, and the avalanche dynamics in well established critical systems, are also revised; as well as the influence of dissipation and disorder in the “self-organization” of scale invariant dynamics. 


Available Options:
Version:
Special Focus Titles
01.Violent Communication and Bullying in Early Childhood Education
02.Cultural Considerations in Intervention with Women and Children Exposed to Intimate Partner Violence
03.Chronic Disease and Disability: The Pediatric Lung
04.Fruit and Vegetable Consumption and Health: New Research
05.Fire and the Sword: Understanding the Impact and Challenge of Organized Islamism. Volume 2

Nova Science Publishers
© Copyright 2004 - 2021

Scale Invariant Avalanches: A Critical Confusion pp. 157-188