{"id":"https://openalex.org/W3137929790","doi":"https://doi.org/10.5488/cmp.24.13002","title":"The effect of non-local derivative on Bose-Einstein condensation","display_name":"The effect of non-local derivative on Bose-Einstein condensation","publication_year":2021,"publication_date":"2021-03-01","ids":{"openalex":"https://openalex.org/W3137929790","doi":"https://doi.org/10.5488/cmp.24.13002","mag":"3137929790"},"language":"en","primary_location":{"id":"doi:10.5488/cmp.24.13002","doi":"https://doi.org/10.5488/cmp.24.13002","is_oa":true,"landing_page_url":"https://doi.org/10.5488/cmp.24.13002","pdf_url":"http://www.icmp.lviv.ua/journal/zbirnyk.105/13002/art13002.pdf","source":{"id":"https://openalex.org/S487226","display_name":"Condensed Matter Physics","issn_l":"1607-324X","issn":["1607-324X","2224-9079"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310322216","host_organization_name":"Institute for Condensed Matter Physics of NAS of Ukraine","host_organization_lineage":["https://openalex.org/P4310322216","https://openalex.org/P4310321802"],"host_organization_lineage_names":["Institute for Condensed Matter Physics of NAS of Ukraine","National Academy of Sciences of Ukraine"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Condensed Matter Physics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://www.icmp.lviv.ua/journal/zbirnyk.105/13002/art13002.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"F. E. Bouzenna","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210157185","display_name":"University of Eloued","ror":"https://ror.org/05416s909","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210157185"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"F. E. Bouzenna","raw_affiliation_strings":["Physics Department and LEVRES laboratory , Faculty of Exact Sciences , University of El Oued , 39000 , Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physics Department and LEVRES laboratory , Faculty of Exact Sciences , University of El Oued , 39000 , Algeria","institution_ids":["https://openalex.org/I4210157185"]}]},{"author_position":"middle","author":{"id":null,"display_name":"M. T. Meftah","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I114564095","display_name":"University of Ouargla","ror":"https://ror.org/05amrd548","country_code":"DZ","type":"education","lineage":["https://openalex.org/I114564095"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"M. T. Meftah","raw_affiliation_strings":["Physics Department and LRPPS laboratory , Faculty of Mathematics and Matter Sciences , University Kasdi Merbah , Ouargla 30000 , Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physics Department and LRPPS laboratory , Faculty of Mathematics and Matter Sciences , University Kasdi Merbah , Ouargla 30000 , Algeria","institution_ids":["https://openalex.org/I114564095"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017134956","display_name":"Mosbah Difallah","orcid":"https://orcid.org/0000-0002-5203-0768","observed_orcids":["https://orcid.org/0000-0002-5203-0768"]},"institutions":[{"id":"https://openalex.org/I4210157185","display_name":"University of Eloued","ror":"https://ror.org/05416s909","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210157185"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"M. Difallah","raw_affiliation_strings":["Physics Department and LABTHOP laboratory , Faculty of Exact Sciences , University of El Oued , 39000 , Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physics Department and LABTHOP laboratory , Faculty of Exact Sciences , University of El Oued , 39000 , Algeria","institution_ids":["https://openalex.org/I4210157185"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1948,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.40814053,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"24","issue":"1","first_page":"13002","last_page":"13002"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.6029999852180481,"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":0.6029999852180481,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.36039999127388,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.0024999999441206455,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bose-einstein-condensation","display_name":"Bose-Einstein condensation","score":0.9929999709129333},{"id":"https://openalex.org/keywords/caputo-fabrizio-fractional-derivative","display_name":"Caputo-Fabrizio derivative","score":0.9700000286102295},{"id":"https://openalex.org/keywords/fractional-schrodinger-equation","display_name":"fractional Schr\u00f6dinger equation","score":0.9129999876022339},{"id":"https://openalex.org/keywords/critical-temperature","display_name":"critical temperature","score":0.7020000219345093},{"id":"https://openalex.org/keywords/ideal-bose-gas","display_name":"ideal Bose gas","score":0.6200000047683716},{"id":"https://openalex.org/keywords/two-dimensional-condensation","display_name":"two-dimensional condensation","score":0.656000018119812},{"id":"https://openalex.org/keywords/energy-spectrum","display_name":"energy spectrum","score":0.5109999775886536}],"concepts":[{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6567999720573425},{"id":"https://openalex.org/C200093464","wikidata":"https://www.wikidata.org/wiki/Q166583","display_name":"Condensation","level":2,"score":0.60589998960495},{"id":"https://openalex.org/C79118098","wikidata":"https://www.wikidata.org/wiki/Q43101","display_name":"Boson","level":2,"score":0.5691999793052673},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.5612000226974487},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.5550000071525574},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.47620001435279846},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.47620001435279846},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.42340001463890076},{"id":"https://openalex.org/C33257320","wikidata":"https://www.wikidata.org/wiki/Q1932744","display_name":"Second derivative","level":2,"score":0.42250001430511475},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.4163999855518341},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.41519999504089355},{"id":"https://openalex.org/C2985105764","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral function","level":2,"score":0.4065999984741211},{"id":"https://openalex.org/C47542005","wikidata":"https://www.wikidata.org/wiki/Q7834435","display_name":"Transition temperature","level":3,"score":0.40529999136924744},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.3434999883174896},{"id":"https://openalex.org/C87040749","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Power law","level":2,"score":0.3424000144004822},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.34130001068115234},{"id":"https://openalex.org/C199017715","wikidata":"https://www.wikidata.org/wiki/Q2136424","display_name":"Reduced properties","level":2,"score":0.33799999952316284},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.33469998836517334},{"id":"https://openalex.org/C17685861","wikidata":"https://www.wikidata.org/wiki/Q6960532","display_name":"Time derivative","level":2,"score":0.33379998803138733},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.31130000948905945},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.2935999929904938},{"id":"https://openalex.org/C164154869","wikidata":"https://www.wikidata.org/wiki/Q901927","display_name":"Critical exponent","level":3,"score":0.2842000126838684},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.28049999475479126},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.2802000045776367},{"id":"https://openalex.org/C147597530","wikidata":"https://www.wikidata.org/wiki/Q369472","display_name":"Computational chemistry","level":1,"score":0.26179999113082886},{"id":"https://openalex.org/C122865956","wikidata":"https://www.wikidata.org/wiki/Q825643","display_name":"Glass transition","level":3,"score":0.257999986410141}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.5488/cmp.24.13002","doi":"https://doi.org/10.5488/cmp.24.13002","is_oa":true,"landing_page_url":"https://doi.org/10.5488/cmp.24.13002","pdf_url":"http://www.icmp.lviv.ua/journal/zbirnyk.105/13002/art13002.pdf","source":{"id":"https://openalex.org/S487226","display_name":"Condensed Matter Physics","issn_l":"1607-324X","issn":["1607-324X","2224-9079"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310322216","host_organization_name":"Institute for Condensed Matter Physics of NAS of Ukraine","host_organization_lineage":["https://openalex.org/P4310322216","https://openalex.org/P4310321802"],"host_organization_lineage_names":["Institute for Condensed Matter Physics of NAS of Ukraine","National Academy of Sciences of Ukraine"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Condensed Matter Physics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2103.15487","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.15487","pdf_url":"https://arxiv.org/pdf/2103.15487","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:d08fb8bfc546419989f936b2b8cf4a56","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/d08fb8bfc546419989f936b2b8cf4a56","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,"listed_in":[],"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":"Condensed Matter Physics, Vol 24, Iss 1, p 13002 (2021)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2103.15487","doi":"https://doi.org/10.48550/arxiv.2103.15487","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2103.15487","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.5488/cmp.24.13002","doi":"https://doi.org/10.5488/cmp.24.13002","is_oa":true,"landing_page_url":"https://doi.org/10.5488/cmp.24.13002","pdf_url":"http://www.icmp.lviv.ua/journal/zbirnyk.105/13002/art13002.pdf","source":{"id":"https://openalex.org/S487226","display_name":"Condensed Matter Physics","issn_l":"1607-324X","issn":["1607-324X","2224-9079"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310322216","host_organization_name":"Institute for Condensed Matter Physics of NAS of Ukraine","host_organization_lineage":["https://openalex.org/P4310322216","https://openalex.org/P4310321802"],"host_organization_lineage_names":["Institute for Condensed Matter Physics of NAS of Ukraine","National Academy of Sciences of Ukraine"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Condensed Matter Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3137929790.pdf","grobid_xml":"https://content.openalex.org/works/W3137929790.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W2015797392","https://openalex.org/W2073800142","https://openalex.org/W2086574007","https://openalex.org/W2125963415","https://openalex.org/W2333223980","https://openalex.org/W2471205302","https://openalex.org/W2471528821","https://openalex.org/W2603388538","https://openalex.org/W2607255068","https://openalex.org/W2750426607","https://openalex.org/W3008241707","https://openalex.org/W3040190460","https://openalex.org/W3150837077","https://openalex.org/W4236398741","https://openalex.org/W4236773177"],"related_works":["https://openalex.org/W2074927607","https://openalex.org/W1976625176","https://openalex.org/W1976918646","https://openalex.org/W2181490100","https://openalex.org/W2023698079","https://openalex.org/W2804036460","https://openalex.org/W2201971204","https://openalex.org/W2364084347","https://openalex.org/W6986217950","https://openalex.org/W7163385218"],"abstract_inverted_index":{"In":[0,131],"this":[1,56,132],"paper,":[2],"we":[3,14,40,90,134,159],"study":[4],"the":[5,16,25,50,58,73,77,93,102,110,128,138,144,149,166,170],"effect":[6],"of":[7,19,27,45,62,95,109,117],"non-local":[8,28],"derivative":[9,18],"on":[10,92,127],"Bose-Einstein":[11,43],"condensation.":[12],"Firstly,":[13],"consider":[15,41],"Caputo-Fabrizio":[17,155],"fractional":[20,111],"order":[21],"\u03b1":[22,67,113,164],"to":[23,83,154,157,174,180],"derive":[24],"eigenvalues":[26],"Schr\u00f6dinger":[29],"equation":[30],"for":[31,64,88,114,162],"a":[32,36,96,107,115],"free":[33,118],"particle":[34],"in":[35,55,79],"3D":[37,42],"box.":[38],"Afterwards,":[39],"condensation":[44,63,78],"an":[46,122],"ideal":[47],"gas":[48],"with":[49,124],"obtained":[51],"energy":[52],"spectrum.":[53],"Interestingly,":[54],"approach":[57],"critical":[59,103],"temperatures":[60,152],"Tc":[61],"1":[65],"<":[66,68],"2":[69],"are":[70],"greater":[71,142,177],"than":[72,143,178],"standard":[74,145],"one.":[75,146],"Furthermore,":[76],"2D":[80],"is":[81,141,176],"shown":[82],"be":[84],"possible.":[85],"Second":[86],"and":[87,156,165],"comparison,":[89],"presented,":[91],"basis":[94],"spectrum":[97],"established":[98],"by":[99,121],"N.":[100],"Laskin,":[101],"transition":[104,139,151,171],"temperature":[105,140,172],"as":[106],"function":[108],"parameter":[112],"system":[116],"bosons":[119],"governed":[120],"Hamiltonian":[123],"power":[125],"law":[126],"moment":[129],"(H~p\u03b1).":[130],"case,":[133],"have":[135,160],"demonstrated":[136],"that":[137,169],"By":[147],"comparing":[148],"two":[150],"(relative":[153],"Laskin),":[158],"found":[161],"fixed":[163],"density":[167],"\u03c1":[168],"relative":[173,179],"Caputo-fabrizio":[175],"Laskin.":[181]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2021-03-29T00:00:00"}