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: | Article in Journal/Newspaper |
Language: | English |
Published: |
MDPI AG
2020
|
Subjects: | |
Online Access: | https://doi.org/10.3390/e22111194 https://doaj.org/article/1ef7e3a85c3a4bb5866281dde20254f2 |
id |
ftdoajarticles:oai:doaj.org/article:1ef7e3a85c3a4bb5866281dde20254f2 |
---|---|
record_format |
openpolar |
spelling |
ftdoajarticles:oai:doaj.org/article:1ef7e3a85c3a4bb5866281dde20254f2 2023-05-15T14:56:10+02:00 Complexity of Fracturing in Terms of Non-Extensive Statistical Physics: From Earthquake Faults to Arctic Sea Ice Fracturing Filippos Vallianatos Georgios Michas 2020-10-01T00:00:00Z https://doi.org/10.3390/e22111194 https://doaj.org/article/1ef7e3a85c3a4bb5866281dde20254f2 EN eng MDPI AG https://www.mdpi.com/1099-4300/22/11/1194 https://doaj.org/toc/1099-4300 doi:10.3390/e22111194 1099-4300 https://doaj.org/article/1ef7e3a85c3a4bb5866281dde20254f2 Entropy, Vol 22, Iss 1194, p 1194 (2020) fracturing earthquakes faults sea ice time series complexity non-extensive statistical physics Science Q Astrophysics QB460-466 Physics QC1-999 article 2020 ftdoajarticles https://doi.org/10.3390/e22111194 2022-12-31T00:17:31Z 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. Article in Journal/Newspaper Arctic Sea ice Directory of Open Access Journals: DOAJ Articles Arctic Entropy 22 11 1194 |
institution |
Open Polar |
collection |
Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
fracturing earthquakes faults sea ice time series complexity non-extensive statistical physics Science Q Astrophysics QB460-466 Physics QC1-999 |
spellingShingle |
fracturing earthquakes faults sea ice time series complexity non-extensive statistical physics Science Q Astrophysics QB460-466 Physics QC1-999 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 Science Q Astrophysics QB460-466 Physics QC1-999 |
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 |
Article in Journal/Newspaper |
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 |
MDPI AG |
publishDate |
2020 |
url |
https://doi.org/10.3390/e22111194 https://doaj.org/article/1ef7e3a85c3a4bb5866281dde20254f2 |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic Sea ice |
genre_facet |
Arctic Sea ice |
op_source |
Entropy, Vol 22, Iss 1194, p 1194 (2020) |
op_relation |
https://www.mdpi.com/1099-4300/22/11/1194 https://doaj.org/toc/1099-4300 doi:10.3390/e22111194 1099-4300 https://doaj.org/article/1ef7e3a85c3a4bb5866281dde20254f2 |
op_doi |
https://doi.org/10.3390/e22111194 |
container_title |
Entropy |
container_volume |
22 |
container_issue |
11 |
container_start_page |
1194 |
_version_ |
1766328204067340288 |