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...
Published in: | Entropy |
---|---|
Main Authors: | , |
Format: | Text |
Language: | English |
Published: |
Multidisciplinary Digital Publishing Institute
2020
|
Subjects: | |
Online Access: | https://doi.org/10.3390/e22111194 |
id |
ftmdpi:oai:mdpi.com:/1099-4300/22/11/1194/ |
---|---|
record_format |
openpolar |
spelling |
ftmdpi:oai:mdpi.com:/1099-4300/22/11/1194/ 2023-08-20T04:04:13+02:00 Complexity of Fracturing in Terms of Non-Extensive Statistical Physics: From Earthquake Faults to Arctic Sea Ice Fracturing Filippos Vallianatos Georgios Michas 2020-10-22 application/pdf https://doi.org/10.3390/e22111194 EN eng Multidisciplinary Digital Publishing Institute Complexity https://dx.doi.org/10.3390/e22111194 https://creativecommons.org/licenses/by/4.0/ Entropy; Volume 22; Issue 11; Pages: 1194 fracturing earthquakes faults sea ice time series complexity non-extensive statistical physics scaling extreme events Text 2020 ftmdpi https://doi.org/10.3390/e22111194 2023-08-01T00:19:56Z 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 MDPI Open Access Publishing Arctic Entropy 22 11 1194 |
institution |
Open Polar |
collection |
MDPI Open Access Publishing |
op_collection_id |
ftmdpi |
language |
English |
topic |
fracturing earthquakes faults sea ice time series complexity non-extensive statistical physics scaling extreme events |
spellingShingle |
fracturing earthquakes faults sea ice time series complexity non-extensive statistical physics scaling extreme events Filippos Vallianatos Georgios Michas Complexity of Fracturing in Terms of Non-Extensive Statistical Physics: From Earthquake Faults to Arctic Sea Ice Fracturing |
topic_facet |
fracturing earthquakes faults sea ice time series complexity non-extensive statistical physics scaling extreme events |
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 |
Filippos Vallianatos Georgios Michas |
author_facet |
Filippos Vallianatos Georgios Michas |
author_sort |
Filippos Vallianatos |
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 |
Multidisciplinary Digital Publishing Institute |
publishDate |
2020 |
url |
https://doi.org/10.3390/e22111194 |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic Sea ice |
genre_facet |
Arctic Sea ice |
op_source |
Entropy; Volume 22; Issue 11; Pages: 1194 |
op_relation |
Complexity https://dx.doi.org/10.3390/e22111194 |
op_rights |
https://creativecommons.org/licenses/by/4.0/ |
op_doi |
https://doi.org/10.3390/e22111194 |
container_title |
Entropy |
container_volume |
22 |
container_issue |
11 |
container_start_page |
1194 |
_version_ |
1774714621146431488 |