{"id":"https://openalex.org/W2994512819","doi":"https://doi.org/10.3390/e21121200","title":"Nonlinear Heat Transport in Superlattices with Mobile Defects","display_name":"Nonlinear Heat Transport in Superlattices with Mobile Defects","publication_year":2019,"publication_date":"2019-12-06","ids":{"openalex":"https://openalex.org/W2994512819","doi":"https://doi.org/10.3390/e21121200","mag":"2994512819"},"language":"en","primary_location":{"id":"doi:10.3390/e21121200","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21121200","pdf_url":"https://www.mdpi.com/1099-4300/21/12/1200/pdf?version=1576486115","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/1099-4300/21/12/1200/pdf?version=1576486115","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085750767","display_name":"David Jou","orcid":"https://orcid.org/0000-0003-3731-5877"},"institutions":[{"id":"https://openalex.org/I123044942","display_name":"Universitat Aut\u00f2noma de Barcelona","ror":"https://ror.org/052g8jq94","country_code":"ES","type":"education","lineage":["https://openalex.org/I123044942"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"David Jou","raw_affiliation_strings":["Grup de Fis\u00edca Estad\u00edstica, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra, Catalonia, Spain"],"affiliations":[{"raw_affiliation_string":"Grup de Fis\u00edca Estad\u00edstica, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra, Catalonia, Spain","institution_ids":["https://openalex.org/I123044942"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023204205","display_name":"Liliana Restuccia","orcid":"https://orcid.org/0000-0002-7251-6175"},"institutions":[{"id":"https://openalex.org/I112862951","display_name":"University of Messina","ror":"https://ror.org/05ctdxz19","country_code":"IT","type":"education","lineage":["https://openalex.org/I112862951"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Liliana Restuccia","raw_affiliation_strings":["Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Viale F. Stagno d\u2019Alcontres, Salita Sperone 31, 98166 Messina, Italy","Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Viale F. Stagno d'Alcontres, Salita Sperone 31, 98166 Messina, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Viale F. Stagno d\u2019Alcontres, Salita Sperone 31, 98166 Messina, Italy","institution_ids":["https://openalex.org/I112862951"]},{"raw_affiliation_string":"Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Viale F. Stagno d'Alcontres, Salita Sperone 31, 98166 Messina, Italy","institution_ids":["https://openalex.org/I112862951"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085750767"],"corresponding_institution_ids":["https://openalex.org/I123044942"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.4566,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.58666258,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"21","issue":"12","first_page":"1200","last_page":"1200"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11277","display_name":"Thermal properties of materials","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11277","display_name":"Thermal properties of materials","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12442","display_name":"Thermal Radiation and Cooling Technologies","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10998","display_name":"Heat Transfer and Optimization","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/superlattice","display_name":"Superlattice","score":0.8728631734848022},{"id":"https://openalex.org/keywords/thermal-conduction","display_name":"Thermal conduction","score":0.7767177224159241},{"id":"https://openalex.org/keywords/thermal-conductivity","display_name":"Thermal conductivity","score":0.7239900827407837},{"id":"https://openalex.org/keywords/heat-flux","display_name":"Heat flux","score":0.6887969970703125},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.6844780445098877},{"id":"https://openalex.org/keywords/thermal-resistance","display_name":"Thermal resistance","score":0.5952997803688049},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5405333042144775},{"id":"https://openalex.org/keywords/thermal","display_name":"Thermal","score":0.528997004032135},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.5271524786949158},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.3720349669456482},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.32143130898475647},{"id":"https://openalex.org/keywords/optoelectronics","display_name":"Optoelectronics","score":0.15710866451263428},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.13842052221298218},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13009846210479736}],"concepts":[{"id":"https://openalex.org/C105382558","wikidata":"https://www.wikidata.org/wiki/Q332431","display_name":"Superlattice","level":2,"score":0.8728631734848022},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.7767177224159241},{"id":"https://openalex.org/C97346530","wikidata":"https://www.wikidata.org/wiki/Q487005","display_name":"Thermal conductivity","level":2,"score":0.7239900827407837},{"id":"https://openalex.org/C159188206","wikidata":"https://www.wikidata.org/wiki/Q1478382","display_name":"Heat flux","level":3,"score":0.6887969970703125},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.6844780445098877},{"id":"https://openalex.org/C137693562","wikidata":"https://www.wikidata.org/wiki/Q899628","display_name":"Thermal resistance","level":3,"score":0.5952997803688049},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5405333042144775},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.528997004032135},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.5271524786949158},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.3720349669456482},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.32143130898475647},{"id":"https://openalex.org/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","level":1,"score":0.15710866451263428},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.13842052221298218},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13009846210479736},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e21121200","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21121200","pdf_url":"https://www.mdpi.com/1099-4300/21/12/1200/pdf?version=1576486115","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:ddd.uab.cat:216819","is_oa":true,"landing_page_url":"https://ddd.uab.cat/record/216819","pdf_url":"https://ddd.uab.cat/record/216819","source":{"id":"https://openalex.org/S4306400380","display_name":"Dip\u00f2sit Digital de Documents de la UAB (Universitat Aut\u00f2noma de Barcelona)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123044942","host_organization_name":"Universitat Aut\u00f2noma de Barcelona","host_organization_lineage":["https://openalex.org/I123044942"],"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":null,"raw_type":"Article"},{"id":"pmh:oai:dnet:uabarcelona_::03431d945b41d7301c6522a0bcb62116","is_oa":true,"landing_page_url":"http://ddd.uab.cat/record/216819","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"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":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:mdpi.com:/1099-4300/21/12/1200/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e21121200","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:7514545","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7514545","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","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":"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/e21121200","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e21121200","pdf_url":"https://www.mdpi.com/1099-4300/21/12/1200/pdf?version=1576486115","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":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8299999833106995}],"awards":[],"funders":[{"id":"https://openalex.org/F4320325475","display_name":"Universit\u00e0 degli Studi di Messina","ror":"https://ror.org/05ctdxz19"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2994512819.pdf","grobid_xml":"https://content.openalex.org/works/W2994512819.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W567137078","https://openalex.org/W755563101","https://openalex.org/W1692302176","https://openalex.org/W1965555338","https://openalex.org/W1970469244","https://openalex.org/W1972606689","https://openalex.org/W1989687007","https://openalex.org/W1996119339","https://openalex.org/W1998255627","https://openalex.org/W2013873713","https://openalex.org/W2018240900","https://openalex.org/W2049629510","https://openalex.org/W2050431017","https://openalex.org/W2057606598","https://openalex.org/W2072080408","https://openalex.org/W2271820142","https://openalex.org/W2272766418","https://openalex.org/W2277514911","https://openalex.org/W2335393105","https://openalex.org/W2504884566","https://openalex.org/W2518790382","https://openalex.org/W2571947199","https://openalex.org/W2584994666","https://openalex.org/W2617918103","https://openalex.org/W2768711806","https://openalex.org/W2780436611","https://openalex.org/W2809606226","https://openalex.org/W2810116615","https://openalex.org/W2883938439","https://openalex.org/W2888928926","https://openalex.org/W2898389938","https://openalex.org/W2927690461","https://openalex.org/W2943292325","https://openalex.org/W2963560882","https://openalex.org/W2970487457","https://openalex.org/W3098498637","https://openalex.org/W3101756413","https://openalex.org/W4300851794","https://openalex.org/W6615902141"],"related_works":["https://openalex.org/W2315775211","https://openalex.org/W1972530813","https://openalex.org/W1995598804","https://openalex.org/W2488424503","https://openalex.org/W2199674021","https://openalex.org/W3198083931","https://openalex.org/W2131030024","https://openalex.org/W348188131","https://openalex.org/W4308751142","https://openalex.org/W250077962"],"abstract_inverted_index":{"We":[0],"consider":[1],"heat":[2,26,54,77],"conduction":[3],"in":[4,83],"a":[5,72,87],"superlattice":[6],"with":[7],"mobile":[8],"defects,":[9],"which":[10,79],"reduce":[11],"the":[12,16,19,25,34,37,43,48,53,57,61,65,68],"thermal":[13,45,90],"conductivity":[14],"of":[15,36,47,60,67,76],"material.":[17],"If":[18],"defects":[20,69],"may":[21,80],"be":[22,81],"dragged":[23],"by":[24],"flux,":[27],"and":[28],"if":[29],"they":[30],"are":[31],"stopped":[32],"at":[33],"interfaces":[35],"superlattice,":[38],"it":[39],"is":[40],"seen":[41],"that":[42],"effective":[44],"resistance":[46],"layers":[49],"will":[50],"depend":[51],"on":[52],"flux.":[55],"Thus,":[56],"concentration":[58],"dependence":[59],"transport":[62],"coefficients":[63],"plus":[64],"mobility":[66],"lead":[70],"to":[71],"strongly":[73],"nonlinear":[74],"behavior":[75],"transport,":[78],"used":[82],"some":[84],"cases":[85],"as":[86],"basis":[88],"for":[89],"transistors.":[91]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}