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  Mapping heterogeneities through avalanche statistics

Biswas, S., & Goehring, L. (2019). Mapping heterogeneities through avalanche statistics. Philosophical Transactions of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences, 377(2136): 20170388. doi:10.1098/rsta.2017.0388.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0002-9795-B Version Permalink: http://hdl.handle.net/21.11116/0000-0002-9F29-E
Genre: Journal Article

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 Creators:
Biswas, Soumyajyoti1, Author              
Goehring, Lucas1, Author              
Affiliations:
1Group Pattern formation in the geosciences, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063304              

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Free keywords: avalanche dynamics; b-value variations; earthquakes; self-organized criticality
 Abstract: Avalanche statistics of various threshold-activated dynamical systems are known to depend on the magnitude of the drive, or stress, on the system. Such dependences exist for earthquake size distributions, in sheared granular avalanches, laboratory-scale fracture and also in the outage statistics of power grids. In this work, we model threshold-activated avalanche dynamics and investigate the time required to detect local variations in the ability of model elements to bear stress. We show that the detection time follows a scaling law where the scaling exponents depend on whether the feature that is sought is either weaker, or stronger, than its surroundings. We then look at earthquake data from Sumatra and California, demonstrate the trade-off between the spatial resolution of a map of earthquake exponents (i.e. the b-values of the Gutenberg-Richter Law) and the accuracy of those exponents, and suggest a means to maximize both.This article is part of the theme issue 'Statistical physics of fracture and earthquakes'.

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Language(s): eng - English
 Dates: 2018-11-262019-01-14
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1098/rsta.2017.0388
 Degree: -

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Title: Philosophical Transactions of the Royal Society of London, Series A : Mathematical, Physical and Engineering Sciences
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: 14 Volume / Issue: 377 (2136) Sequence Number: 20170388 Start / End Page: - Identifier: -