{"id":"https://openalex.org/W3003580795","doi":"https://doi.org/10.3390/e22020163","title":"Nonlinear Fokker\u2013Planck Equation Approach to Systems of Interacting Particles: Thermostatistical Features Related to the Range of the Interactions","display_name":"Nonlinear Fokker\u2013Planck Equation Approach to Systems of Interacting Particles: Thermostatistical Features Related to the Range of the Interactions","publication_year":2020,"publication_date":"2020-01-31","ids":{"openalex":"https://openalex.org/W3003580795","doi":"https://doi.org/10.3390/e22020163","mag":"3003580795","pmid":"https://pubmed.ncbi.nlm.nih.gov/33285938"},"language":"en","primary_location":{"id":"doi:10.3390/e22020163","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22020163","pdf_url":"https://www.mdpi.com/1099-4300/22/2/163/pdf?version=1582802022","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/1099-4300/22/2/163/pdf?version=1582802022","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059654447","display_name":"A. Plastino","orcid":"https://orcid.org/0000-0001-5848-0770"},"institutions":[{"id":"https://openalex.org/I3130568980","display_name":"National University of Northwestern Buenos Aires","ror":"https://ror.org/00c8e6e47","country_code":"AR","type":"education","lineage":["https://openalex.org/I3130568980"]}],"countries":["AR"],"is_corresponding":true,"raw_author_name":"Angel Plastino","raw_affiliation_strings":["CeBio y Departamento de Ciencias B\u00e1sicas, Universidad Nacional del Noroeste de la Prov\u00edncia de Buenos Aires, UNNOBA, Conicet, Roque Saenz Pe\u00f1a 456, Junin 6000, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CeBio y Departamento de Ciencias B\u00e1sicas, Universidad Nacional del Noroeste de la Prov\u00edncia de Buenos Aires, UNNOBA, Conicet, Roque Saenz Pe\u00f1a 456, Junin 6000, Argentina","institution_ids":["https://openalex.org/I3130568980"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076828245","display_name":"Roseli S. Wedemann","orcid":"https://orcid.org/0000-0001-7532-3881"},"institutions":[{"id":"https://openalex.org/I40034438","display_name":"Universidade do Estado do Rio de Janeiro","ror":"https://ror.org/0198v2949","country_code":"BR","type":"education","lineage":["https://openalex.org/I40034438"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Roseli Wedemann","raw_affiliation_strings":["Instituto de Matem\u00e1tica e Estat\u00edstica, Universidade do Estado do Rio de Janeiro, Rua S\u00e3o Francisco Xavier, 524, Rio de Janeiro 20550-900, RJ, Brazil"],"raw_orcid":"https://orcid.org/0000-0001-7532-3881","affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica e Estat\u00edstica, Universidade do Estado do Rio de Janeiro, Rua S\u00e3o Francisco Xavier, 524, Rio de Janeiro 20550-900, RJ, Brazil","institution_ids":["https://openalex.org/I40034438"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059654447"],"corresponding_institution_ids":["https://openalex.org/I3130568980"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.068,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.75131858,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"22","issue":"2","first_page":"163","last_page":"163"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9998000264167786,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9998000264167786,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9746000170707703,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.957099974155426,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6923671960830688},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6842570304870605},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6797272562980652},{"id":"https://openalex.org/keywords/fokker\u2013planck-equation","display_name":"Fokker\u2013Planck equation","score":0.6604079008102417},{"id":"https://openalex.org/keywords/power-law","display_name":"Power law","score":0.5288817882537842},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.505134642124176},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4907627999782562},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.48819905519485474},{"id":"https://openalex.org/keywords/gravitation","display_name":"Gravitation","score":0.45256781578063965},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.30086570978164673},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20688968896865845},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2022249400615692}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6923671960830688},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6842570304870605},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6797272562980652},{"id":"https://openalex.org/C69123182","wikidata":"https://www.wikidata.org/wiki/Q891766","display_name":"Fokker\u2013Planck equation","level":3,"score":0.6604079008102417},{"id":"https://openalex.org/C87040749","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Power law","level":2,"score":0.5288817882537842},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.505134642124176},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4907627999782562},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.48819905519485474},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.45256781578063965},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.30086570978164673},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20688968896865845},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2022249400615692},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/e22020163","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22020163","pdf_url":"https://www.mdpi.com/1099-4300/22/2/163/pdf?version=1582802022","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:33285938","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33285938","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:050891938af2440f9dca0e987ec6c241","is_oa":true,"landing_page_url":"https://doaj.org/article/050891938af2440f9dca0e987ec6c241","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 22, Iss 2, p 163 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/22/2/163/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e22020163","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:7516578","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7516578","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"},{"id":"pmh:oai:ri.conicet.gov.ar:11336/168196","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/168196","pdf_url":null,"source":{"id":"https://openalex.org/S4306401400","display_name":"Conicet","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210104196","host_organization_name":"Centro Cient\u00edfico Tecnol\u00f3gico - Nordeste","host_organization_lineage":["https://openalex.org/I4210104196"],"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"}],"best_oa_location":{"id":"doi:10.3390/e22020163","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22020163","pdf_url":"https://www.mdpi.com/1099-4300/22/2/163/pdf?version=1582802022","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":[{"score":0.6000000238418579,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3003580795.pdf","grobid_xml":"https://content.openalex.org/works/W3003580795.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W1568783337","https://openalex.org/W1600090841","https://openalex.org/W1601036473","https://openalex.org/W1752533918","https://openalex.org/W1770172028","https://openalex.org/W1873431535","https://openalex.org/W1892782243","https://openalex.org/W1972500742","https://openalex.org/W1973560819","https://openalex.org/W1983874169","https://openalex.org/W1991902756","https://openalex.org/W1998065776","https://openalex.org/W2003904624","https://openalex.org/W2017963899","https://openalex.org/W2019417347","https://openalex.org/W2027615116","https://openalex.org/W2032703109","https://openalex.org/W2034902073","https://openalex.org/W2040183387","https://openalex.org/W2058671960","https://openalex.org/W2077574606","https://openalex.org/W2078477559","https://openalex.org/W2082189977","https://openalex.org/W2131177238","https://openalex.org/W2139281081","https://openalex.org/W2147142925","https://openalex.org/W2164715205","https://openalex.org/W2167191107","https://openalex.org/W2170439816","https://openalex.org/W2210105465","https://openalex.org/W2240510098","https://openalex.org/W2332798993","https://openalex.org/W2335670645","https://openalex.org/W2399462240","https://openalex.org/W2413325692","https://openalex.org/W2518468764","https://openalex.org/W2586608768","https://openalex.org/W2740022171","https://openalex.org/W2793070290","https://openalex.org/W2803659365","https://openalex.org/W2898471460","https://openalex.org/W2908025461","https://openalex.org/W3100556136","https://openalex.org/W3101932978","https://openalex.org/W3104492505","https://openalex.org/W3104877695","https://openalex.org/W4241080586","https://openalex.org/W6636090542","https://openalex.org/W6785561066"],"related_works":["https://openalex.org/W2992409218","https://openalex.org/W1494630543","https://openalex.org/W4388044880","https://openalex.org/W2035936743","https://openalex.org/W4256389389","https://openalex.org/W4320514436","https://openalex.org/W2064571445","https://openalex.org/W2316454864","https://openalex.org/W2043785977","https://openalex.org/W2386098779"],"abstract_inverted_index":{"Nonlinear":[0],"Fokker\u2013Planck":[1,168],"equations":[2,19],"(NLFPEs)":[3],"constitute":[4,145],"useful":[5],"effective":[6],"descriptions":[7],"of":[8,15,36,77,85,107,137,148,163],"some":[9],"interacting":[10,51,65,109],"many-body":[11],"systems.":[12],"Important":[13],"instances":[14],"these":[16],"nonlinear":[17],"evolution":[18,130],"are":[20],"closely":[21],"related":[22],"to":[23,64,69,81,98,160],"the":[24,28,37,40,43,56,61,71,75,78,83,113,138,161],"thermostatistics":[25],"based":[26],"on":[27,49],"S":[29,44,149],"q":[30,45,150],"power-law":[31,167],"entropic":[32],"functionals.":[33],"Most":[34],"applications":[35],"connection":[38],"between":[39],"NLFPE":[41,62],"and":[42,80,117],"entropies":[46],"have":[47],"focused":[48],"systems":[50,66,90],"through":[52],"short-range":[53],"forces.":[54],"In":[55,101],"present":[57],"contribution":[58],"we":[59,103],"re-visit":[60],"approach":[63],"in":[67,153],"order":[68],"clarify":[70],"role":[72],"played":[73],"by":[74,124],"range":[76],"interactions,":[79,93],"explore":[82],"possibility":[84],"developing":[86],"similar":[87,155],"treatments":[88],"for":[89],"with":[91],"long-range":[92],"such":[94],"as":[95],"those":[96],"corresponding":[97],"Newtonian":[99],"gravitation.":[100],"particular,":[102],"consider":[104],"a":[105,125,146,154],"system":[106],"particles":[108],"via":[110],"forces":[111],"following":[112],"inverse":[114],"square":[115],"law":[116],"performing":[118],"overdamped":[119],"motion,":[120],"that":[121,132],"is":[122],"described":[123],"density":[126],"obeying":[127],"an":[128,164],"integro-differential":[129],"equation":[131],"admits":[133],"exact":[134],"time-dependent":[135],"solutions":[136,162],"q-Gaussian":[139,142],"form.":[140],"These":[141],"solutions,":[143],"which":[144],"signature":[147],"-thermostatistics,":[151],"evolve":[152],"but":[156],"not":[157],"identical":[158],"way":[159],"appropriate":[165],"nonlinear,":[166],"equation.":[169]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2026-05-16T08:24:45.110214","created_date":"2025-10-10T00:00:00"}
