Complexity of Fracturing in Terms of Non-Extensive Statistical Physics: From Earthquake Faults to Arctic Sea Ice Fracturing
Fracturing processes within solid Earth materials are inherently a complex phenomenon so that the underlying physics that control fracture initiation and evolution still remain elusive. However, universal scaling relations seem to apply to the collective properties of fracturing phenomena. In this a...
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ftpubmed:oai:pubmedcentral.nih.gov:7712365 2023-05-15T14:55:03+02:00 Complexity of Fracturing in Terms of Non-Extensive Statistical Physics: From Earthquake Faults to Arctic Sea Ice Fracturing Vallianatos, Filippos Michas, Georgios 2020-10-22 http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7712365/ http://www.ncbi.nlm.nih.gov/pubmed/33286962 https://doi.org/10.3390/e22111194 en eng MDPI http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7712365/ http://www.ncbi.nlm.nih.gov/pubmed/33286962 http://dx.doi.org/10.3390/e22111194 © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). CC-BY Entropy (Basel) Review Text 2020 ftpubmed https://doi.org/10.3390/e22111194 2021-02-28T01:20:06Z Fracturing processes within solid Earth materials are inherently a complex phenomenon so that the underlying physics that control fracture initiation and evolution still remain elusive. However, universal scaling relations seem to apply to the collective properties of fracturing phenomena. In this article we present a statistical physics approach to fracturing based on the framework of non-extensive statistical physics (NESP). Fracturing phenomena typically present intermittency, multifractality, long-range correlations and extreme fluctuations, properties that motivate the NESP approach. Initially we provide a brief review of the NESP approach to fracturing and earthquakes and then we analyze stress and stress direction time series within Arctic sea ice. We show that such time series present large fluctuations and probability distributions with “fat” tails, which can exactly be described with the q-Gaussian distribution derived in the framework of NESP. Overall, NESP provide a consistent theoretical framework, based on the principle of entropy, for deriving the collective properties of fracturing phenomena and earthquakes. Text Arctic Sea ice PubMed Central (PMC) Arctic Entropy 22 11 1194 |
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Review Vallianatos, Filippos Michas, Georgios Complexity of Fracturing in Terms of Non-Extensive Statistical Physics: From Earthquake Faults to Arctic Sea Ice Fracturing |
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Review |
description |
Fracturing processes within solid Earth materials are inherently a complex phenomenon so that the underlying physics that control fracture initiation and evolution still remain elusive. However, universal scaling relations seem to apply to the collective properties of fracturing phenomena. In this article we present a statistical physics approach to fracturing based on the framework of non-extensive statistical physics (NESP). Fracturing phenomena typically present intermittency, multifractality, long-range correlations and extreme fluctuations, properties that motivate the NESP approach. Initially we provide a brief review of the NESP approach to fracturing and earthquakes and then we analyze stress and stress direction time series within Arctic sea ice. We show that such time series present large fluctuations and probability distributions with “fat” tails, which can exactly be described with the q-Gaussian distribution derived in the framework of NESP. Overall, NESP provide a consistent theoretical framework, based on the principle of entropy, for deriving the collective properties of fracturing phenomena and earthquakes. |
format |
Text |
author |
Vallianatos, Filippos Michas, Georgios |
author_facet |
Vallianatos, Filippos Michas, Georgios |
author_sort |
Vallianatos, Filippos |
title |
Complexity of Fracturing in Terms of Non-Extensive Statistical Physics: From Earthquake Faults to Arctic Sea Ice Fracturing |
title_short |
Complexity of Fracturing in Terms of Non-Extensive Statistical Physics: From Earthquake Faults to Arctic Sea Ice Fracturing |
title_full |
Complexity of Fracturing in Terms of Non-Extensive Statistical Physics: From Earthquake Faults to Arctic Sea Ice Fracturing |
title_fullStr |
Complexity of Fracturing in Terms of Non-Extensive Statistical Physics: From Earthquake Faults to Arctic Sea Ice Fracturing |
title_full_unstemmed |
Complexity of Fracturing in Terms of Non-Extensive Statistical Physics: From Earthquake Faults to Arctic Sea Ice Fracturing |
title_sort |
complexity of fracturing in terms of non-extensive statistical physics: from earthquake faults to arctic sea ice fracturing |
publisher |
MDPI |
publishDate |
2020 |
url |
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7712365/ http://www.ncbi.nlm.nih.gov/pubmed/33286962 https://doi.org/10.3390/e22111194 |
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Arctic |
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Arctic |
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Arctic Sea ice |
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Arctic Sea ice |
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Entropy (Basel) |
op_relation |
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7712365/ http://www.ncbi.nlm.nih.gov/pubmed/33286962 http://dx.doi.org/10.3390/e22111194 |
op_rights |
© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
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https://doi.org/10.3390/e22111194 |
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