{"id":"https://openalex.org/W2895352061","doi":"https://doi.org/10.3390/e20100754","title":"A Complexity View into the Physics of the Accelerating Seismic Release Hypothesis: Theoretical Principles","display_name":"A Complexity View into the Physics of the Accelerating Seismic Release Hypothesis: Theoretical Principles","publication_year":2018,"publication_date":"2018-10-01","ids":{"openalex":"https://openalex.org/W2895352061","doi":"https://doi.org/10.3390/e20100754","mag":"2895352061","pmid":"https://pubmed.ncbi.nlm.nih.gov/33265843"},"language":"en","primary_location":{"id":"doi:10.3390/e20100754","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20100754","pdf_url":"https://www.mdpi.com/1099-4300/20/10/754/pdf?version=1538389114","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/20/10/754/pdf?version=1538389114","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059155886","display_name":"Filippos Vallianatos","orcid":"https://orcid.org/0000-0002-4600-5013"},"institutions":[{"id":"https://openalex.org/I28710699","display_name":"Hellenic Mediterranean University","ror":"https://ror.org/039ce0m20","country_code":"GR","type":"education","lineage":["https://openalex.org/I28710699"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Filippos Vallianatos","raw_affiliation_strings":["UNESCO Chair on Solid Earth Physics and Geohazards Risk Reduction, Technological Educational Institute of Crete, Crete 73100, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UNESCO Chair on Solid Earth Physics and Geohazards Risk Reduction, Technological Educational Institute of Crete, Crete 73100, Greece","institution_ids":["https://openalex.org/I28710699"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036016429","display_name":"Georgios Chatzopoulos","orcid":"https://orcid.org/0000-0002-2802-9070"},"institutions":[{"id":"https://openalex.org/I28710699","display_name":"Hellenic Mediterranean University","ror":"https://ror.org/039ce0m20","country_code":"GR","type":"education","lineage":["https://openalex.org/I28710699"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Georgios Chatzopoulos","raw_affiliation_strings":["UNESCO Chair on Solid Earth Physics and Geohazards Risk Reduction, Technological Educational Institute of Crete, Crete 73100, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UNESCO Chair on Solid Earth Physics and Geohazards Risk Reduction, Technological Educational Institute of Crete, Crete 73100, Greece","institution_ids":["https://openalex.org/I28710699"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059155886"],"corresponding_institution_ids":["https://openalex.org/I28710699"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":2.9599,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.89702546,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"20","issue":"10","first_page":"754","last_page":"754"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10110","display_name":"earthquake and tectonic studies","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10110","display_name":"earthquake and tectonic studies","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12424","display_name":"Earthquake Detection and Analysis","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13018","display_name":"Seismology and Earthquake Studies","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5288822650909424},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.5063096284866333},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.44068998098373413},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3870403468608856},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34283167123794556},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3344610035419464}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5288822650909424},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.5063096284866333},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.44068998098373413},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3870403468608856},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34283167123794556},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3344610035419464}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e20100754","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20100754","pdf_url":"https://www.mdpi.com/1099-4300/20/10/754/pdf?version=1538389114","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:33265843","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33265843","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:00b2d607b0e947e8bfcf3f8ff53f5a97","is_oa":true,"landing_page_url":"https://doaj.org/article/00b2d607b0e947e8bfcf3f8ff53f5a97","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 20, Iss 10, p 754 (2018)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/20/10/754/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e20100754","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7512317","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7512317","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e20100754","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20100754","pdf_url":"https://www.mdpi.com/1099-4300/20/10/754/pdf?version=1538389114","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2895352061.pdf"},"referenced_works_count":92,"referenced_works":["https://openalex.org/W1507568709","https://openalex.org/W1546395146","https://openalex.org/W1555707932","https://openalex.org/W1606430973","https://openalex.org/W1642828983","https://openalex.org/W1659355396","https://openalex.org/W1663924132","https://openalex.org/W1671521647","https://openalex.org/W1763690627","https://openalex.org/W1934758505","https://openalex.org/W1964237831","https://openalex.org/W1966495661","https://openalex.org/W1972138494","https://openalex.org/W1973592129","https://openalex.org/W1980190424","https://openalex.org/W1983874169","https://openalex.org/W1985078426","https://openalex.org/W1985502051","https://openalex.org/W1986665688","https://openalex.org/W1988343900","https://openalex.org/W1992124464","https://openalex.org/W1993430789","https://openalex.org/W1995663448","https://openalex.org/W1998128688","https://openalex.org/W2011358783","https://openalex.org/W2011503417","https://openalex.org/W2013318319","https://openalex.org/W2015574512","https://openalex.org/W2019880609","https://openalex.org/W2022506996","https://openalex.org/W2023695962","https://openalex.org/W2024448373","https://openalex.org/W2025978053","https://openalex.org/W2026796540","https://openalex.org/W2027701123","https://openalex.org/W2028298784","https://openalex.org/W2039966934","https://openalex.org/W2041304385","https://openalex.org/W2045615345","https://openalex.org/W2052249018","https://openalex.org/W2056517150","https://openalex.org/W2058172722","https://openalex.org/W2060600917","https://openalex.org/W2062789847","https://openalex.org/W2064353692","https://openalex.org/W2071244419","https://openalex.org/W2074013614","https://openalex.org/W2078053725","https://openalex.org/W2080352355","https://openalex.org/W2082116254","https://openalex.org/W2082307172","https://openalex.org/W2082699175","https://openalex.org/W2084294564","https://openalex.org/W2085388416","https://openalex.org/W2086711749","https://openalex.org/W2086958198","https://openalex.org/W2087646841","https://openalex.org/W2090503999","https://openalex.org/W2090959217","https://openalex.org/W2111496070","https://openalex.org/W2134979643","https://openalex.org/W2140406066","https://openalex.org/W2144371956","https://openalex.org/W2147902004","https://openalex.org/W2148777411","https://openalex.org/W2157229358","https://openalex.org/W2158380682","https://openalex.org/W2163027631","https://openalex.org/W2165507120","https://openalex.org/W2171769186","https://openalex.org/W2172269437","https://openalex.org/W2291431154","https://openalex.org/W2327023559","https://openalex.org/W2468323426","https://openalex.org/W2469763351","https://openalex.org/W2471652983","https://openalex.org/W2524727346","https://openalex.org/W2560808663","https://openalex.org/W2765567024","https://openalex.org/W2784618255","https://openalex.org/W2792832102","https://openalex.org/W2803116869","https://openalex.org/W2990336819","https://openalex.org/W3100752549","https://openalex.org/W3103207444","https://openalex.org/W6633625248","https://openalex.org/W6648821644","https://openalex.org/W6668969286","https://openalex.org/W6672974181","https://openalex.org/W6676590381","https://openalex.org/W6720342460","https://openalex.org/W6730212193"],"related_works":["https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W3148032049","https://openalex.org/W2271181815"],"abstract_inverted_index":{"Observational":[0],"indications":[1],"support":[2],"the":[3,28,39,53,95,130,140,152,166,172,182,192,211,223,231,236,238,249,257,261],"hypothesis":[4],"that":[5,119,162,189],"many":[6],"large":[7],"earthquakes":[8],"are":[9,17],"preceded":[10],"by":[11,19,134],"accelerating-decelerating":[12],"seismic":[13],"release":[14],"rates":[15],"which":[16,147],"described":[18],"a":[20,31,57,66,105,116,121,143,149,227],"power":[21],"law":[22,124,177],"time":[23],"to":[24,199],"failure":[25,200],"relation.":[26],"In":[27,129,180],"present":[29],"work,":[30],"unified":[32],"theoretical":[33],"framework":[34],"is":[35,94,148,157,178,201],"discussed":[36],"based":[37,218],"on":[38,219,230],"ideas":[40],"of":[41,49,108,142,151,175,184,207,260],"non-extensive":[42,153],"statistical":[43],"physics":[44,50],"along":[45,203],"with":[46,165,204,248,256],"fundamental":[47],"principles":[48],"such":[51],"as":[52],"energy":[54,224],"conservation":[55,225],"in":[56,235],"faulted":[58],"crustal":[59],"volume":[60],"undergoing":[61],"stress":[62],"loading.":[63],"We":[64],"define":[65],"generalized":[67,241],"Benioff":[68,242],"strain":[69,243],"function":[70,150],"\u03a9":[71,109,135],"\u03be":[72,87,100,110,136],"(":[73,82,88,111,137],"t":[74,83,89,112,138],")":[75,84,90,113,139],"=":[76,79],"\u2211":[77],"i":[78,86],"1":[80,102],"n":[81],"E":[85],",":[91],"where":[92],"Ei":[93],"earthquake":[96],"energy,":[97],"0":[98],"\u2264":[99,101],".":[103],"and":[104,171,186,198,222,252],"time-to-failure":[106,131],"power-law":[107,132],"derived":[114,234],"for":[115],"fault":[117],"system":[118,193],"obeys":[120],"hierarchical":[122],"distribution":[123],"extracted":[125],"from":[126,210],"Tsallis":[127,167,220],"entropy.":[128],"followed":[133],"existence":[141],"common":[144],"exponent":[145],"m\u03be":[146,164,208],"entropic":[154,168],"parameter":[155,169],"q":[156,170,185],"demonstrated.":[158],"An":[159],"analytic":[160],"expression":[161],"connects":[163],"b":[173,187],"value":[174],"Gutenberg\u2014Richter":[176],"derived.":[179],"addition":[181],"range":[183],"values":[188],"could":[190],"drive":[191],"into":[194],"an":[195],"accelerating":[196,246],"stage":[197],"discussed,":[202],"precursory":[205,212],"variations":[206],"resulting":[209],"b-value":[213],"anomaly.":[214],"Finally":[215],"our":[216],"calculations":[217],"entropy":[221],"give":[226],"new":[228],"view":[229],"empirical":[232],"laws":[233],"literature,":[237],"associated":[239],"average":[240],"rate":[244,251],"during":[245],"period":[247],"background":[250],"connecting":[253],"model":[254],"parameters":[255],"expected":[258],"magnitude":[259],"main":[262],"shock.":[263]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2025-10-10T00:00:00"}