{"id":"https://openalex.org/W2062329986","doi":"https://doi.org/10.3390/e15115053","title":"Multiscale Mesoscopic Entropy of Driven Macroscopic Systems","display_name":"Multiscale Mesoscopic Entropy of Driven Macroscopic Systems","publication_year":2013,"publication_date":"2013-11-19","ids":{"openalex":"https://openalex.org/W2062329986","doi":"https://doi.org/10.3390/e15115053","mag":"2062329986"},"language":"en","primary_location":{"id":"doi:10.3390/e15115053","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e15115053","pdf_url":"https://www.mdpi.com/1099-4300/15/11/5053/pdf?version=1424785165","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"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/15/11/5053/pdf?version=1424785165","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064938418","display_name":"Miroslav Grmela","orcid":"https://orcid.org/0000-0001-7777-490X"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]},{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA","IT"],"is_corresponding":true,"raw_author_name":"Miroslav Grmela","raw_affiliation_strings":["Polytechnique de Montr\u00e9al, C.P.6079, Succ. Centre-Ville, Montr\u00e9al, QC H3C 3A7, Canada","university of Florence"],"affiliations":[{"raw_affiliation_string":"Polytechnique de Montr\u00e9al, C.P.6079, Succ. Centre-Ville, Montr\u00e9al, QC H3C 3A7, Canada","institution_ids":["https://openalex.org/I45683168"]},{"raw_affiliation_string":"university of Florence","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086174113","display_name":"Giuseppe Grazzini","orcid":"https://orcid.org/0000-0002-3285-3695"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]},{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giuseppe Grazzini","raw_affiliation_strings":["Dipartimento di Ingegneria Industriale, Universita di Firenze, Via Santa Marta 3, Firenze 50139, Italy","POLYTECHNIC UNIVERSITY OF TURIN"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Industriale, Universita di Firenze, Via Santa Marta 3, Firenze 50139, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"POLYTECHNIC UNIVERSITY OF TURIN","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023215687","display_name":"Umberto Lucia","orcid":"https://orcid.org/0000-0002-3123-2133"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Umberto Lucia","raw_affiliation_strings":["Dipartimento Energia, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino 10129, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento Energia, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino 10129, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104440465","display_name":"L\u2019Hocine Yahia","orcid":null},"institutions":[{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"L'Hocine Yahia","raw_affiliation_strings":["Biom\u00e9dical, \u00c9cole Polytechnique de Montr\u00e9al, CP6079,  Succ. Centre-Ville, Montr\u00e9al, QC H3C 3A7, Canada"],"affiliations":[{"raw_affiliation_string":"Biom\u00e9dical, \u00c9cole Polytechnique de Montr\u00e9al, CP6079,  Succ. Centre-Ville, Montr\u00e9al, QC H3C 3A7, Canada","institution_ids":["https://openalex.org/I45683168"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5064938418"],"corresponding_institution_ids":["https://openalex.org/I45084792","https://openalex.org/I45683168"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.2795,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.8043128,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"15","issue":"11","first_page":"5053","last_page":"5064"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13362","display_name":"Slime Mold and Myxomycetes Research","score":0.9710999727249146,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mesoscopic-physics","display_name":"Mesoscopic physics","score":0.9360573291778564},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6116816997528076},{"id":"https://openalex.org/keywords/entropy-production","display_name":"Entropy production","score":0.6058887839317322},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5901475548744202},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.44479626417160034},{"id":"https://openalex.org/keywords/isolated-system","display_name":"Isolated system","score":0.4336380660533905},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3729614019393921},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.3483405113220215},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.17837300896644592},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08889937400817871}],"concepts":[{"id":"https://openalex.org/C177731217","wikidata":"https://www.wikidata.org/wiki/Q2622244","display_name":"Mesoscopic physics","level":2,"score":0.9360573291778564},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6116816997528076},{"id":"https://openalex.org/C207282930","wikidata":"https://www.wikidata.org/wiki/Q5380811","display_name":"Entropy production","level":2,"score":0.6058887839317322},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5901475548744202},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.44479626417160034},{"id":"https://openalex.org/C82744934","wikidata":"https://www.wikidata.org/wiki/Q320388","display_name":"Isolated system","level":2,"score":0.4336380660533905},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3729614019393921},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3483405113220215},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.17837300896644592},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08889937400817871}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/e15115053","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e15115053","pdf_url":"https://www.mdpi.com/1099-4300/15/11/5053/pdf?version=1424785165","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":"pmh:oai:publications.polymtl.ca:3430","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:doaj.org/article:9601c6a605c44790b32738572db1e54d","is_oa":true,"landing_page_url":"https://doaj.org/article/9601c6a605c44790b32738572db1e54d","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"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 15, Iss 11, Pp 5053-5064 (2013)","raw_type":"article"},{"id":"pmh:oai:flore.unifi.it:2158/826344","is_oa":true,"landing_page_url":"http://hdl.handle.net/2158/826344","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:mdpi.com:/1099-4300/15/11/5053/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e15115053","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; Volume 15; Issue 11; Pages: 5053-5064","raw_type":"Text"},{"id":"pmh:oai:publications.polymtl.ca:13821","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/13821/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"}],"best_oa_location":{"id":"doi:10.3390/e15115053","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e15115053","pdf_url":"https://www.mdpi.com/1099-4300/15/11/5053/pdf?version=1424785165","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":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2062329986.pdf","grobid_xml":"https://content.openalex.org/works/W2062329986.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W79090972","https://openalex.org/W630238328","https://openalex.org/W1581063030","https://openalex.org/W1980993922","https://openalex.org/W1986811776","https://openalex.org/W2003068273","https://openalex.org/W2024737255","https://openalex.org/W2035916710","https://openalex.org/W2043122525","https://openalex.org/W2057850795","https://openalex.org/W2074691054","https://openalex.org/W2075452852","https://openalex.org/W2086126894","https://openalex.org/W2119893119","https://openalex.org/W2198979185","https://openalex.org/W2478566334","https://openalex.org/W4253119433","https://openalex.org/W6603319346"],"related_works":["https://openalex.org/W1675108070","https://openalex.org/W2990252854","https://openalex.org/W4302345547","https://openalex.org/W2317270237","https://openalex.org/W3189904603","https://openalex.org/W3217726776","https://openalex.org/W4285385254","https://openalex.org/W2110334712","https://openalex.org/W381821786","https://openalex.org/W1967203299"],"abstract_inverted_index":{"How":[0],"do":[1],"macroscopic":[2,28,88,112],"systems":[3,29,102],"react":[4],"to":[5,10,33],"imposed":[6,34],"external":[7,35],"forces?":[8],"Attempts":[9],"answer":[11],"this":[12],"question":[13],"by":[14,95],"a":[15,19,80,96,110],"general":[16,23],"principle":[17],"have":[18],"long":[20],"history.":[21],"The":[22],"feeling":[24],"is":[25,48,59,67,72,79],"that":[26,51,70],"the":[27,54,60],"in":[30,43,63,83],"their":[31,45],"reaction":[32],"forces":[36],"follow":[37],"some":[38],"kind":[39],"of":[40,85,99],"optimization":[41],"strategy":[42],"which":[44],"internal":[46],"structure":[47],"changed":[49],"so":[50],"they":[52],"offer":[53],"least":[55],"possible":[56],"resistance.":[57],"What":[58,90],"potential":[61,81],"involved":[62],"such":[64],"optimization?":[65],"It":[66],"often":[68],"suggested":[69],"it":[71,108],"entropy":[73,75,78,98],"or":[74],"production.":[76],"But":[77],"arising":[82],"thermodynamics":[84],"externally":[86,100],"unforced":[87],"systems.":[89],"exactly":[91],"shall":[92,105],"we":[93,106],"understand":[94],"mesoscopic":[97],"driven":[101],"and":[103],"how":[104],"find":[107],"for":[109],"specific":[111],"system?":[113]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2016-06-24T00:00:00"}