{"id":"https://openalex.org/W2623865544","doi":"https://doi.org/10.3390/computation5020030","title":"Levy-Lieb-Based Monte Carlo Study of the Dimensionality Behaviour of the Electronic Kinetic Functional","display_name":"Levy-Lieb-Based Monte Carlo Study of the Dimensionality Behaviour of the Electronic Kinetic Functional","publication_year":2017,"publication_date":"2017-06-10","ids":{"openalex":"https://openalex.org/W2623865544","doi":"https://doi.org/10.3390/computation5020030","mag":"2623865544"},"language":"en","primary_location":{"id":"doi:10.3390/computation5020030","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation5020030","pdf_url":"https://www.mdpi.com/2079-3197/5/2/30/pdf?version=1497593023","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"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":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/5/2/30/pdf?version=1497593023","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055024294","display_name":"A. Seshaditya","orcid":null},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Seshaditya A.","raw_affiliation_strings":["Institute for Mathematics, Freie Universit\u00e4t Berlin, D-14195 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematics, Freie Universit\u00e4t Berlin, D-14195 Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089680948","display_name":"Luca M. Ghiringhelli","orcid":"https://orcid.org/0000-0001-5099-3029"},"institutions":[{"id":"https://openalex.org/I2800875726","display_name":"Fritz Haber Institute of the Max Planck Society","ror":"https://ror.org/03k9qs827","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I2800875726"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Luca Ghiringhelli","raw_affiliation_strings":["Fritz-Haber Institute, Faradayweg 4-6, D-14195 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fritz-Haber Institute, Faradayweg 4-6, D-14195 Berlin, Germany","institution_ids":["https://openalex.org/I2800875726"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003544318","display_name":"Luigi Delle Site","orcid":"https://orcid.org/0000-0001-8115-8261"},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Luigi Delle Site","raw_affiliation_strings":["Institute for Mathematics, Freie Universit\u00e4t Berlin, D-14195 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematics, Freie Universit\u00e4t Berlin, D-14195 Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003544318"],"corresponding_institution_ids":["https://openalex.org/I75951250"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.07367771,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"5","issue":"2","first_page":"30","last_page":"30"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10002","display_name":"Advanced Chemical Physics Studies","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10002","display_name":"Advanced Chemical Physics Studies","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11177","display_name":"Spectroscopy and Quantum Chemical Studies","score":0.9947999715805054,"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"}},{"id":"https://openalex.org/T11965","display_name":"Quantum, superfluid, helium dynamics","score":0.9947999715805054,"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/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.7616401314735413},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.7394955158233643},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.6894167065620422},{"id":"https://openalex.org/keywords/orbital-free-density-functional-theory","display_name":"Orbital-free density functional theory","score":0.6154212951660156},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6109082698822021},{"id":"https://openalex.org/keywords/quantum-monte-carlo","display_name":"Quantum Monte Carlo","score":0.6002174019813538},{"id":"https://openalex.org/keywords/density-functional-theory","display_name":"Density functional theory","score":0.5360603332519531},{"id":"https://openalex.org/keywords/electron","display_name":"Electron","score":0.5199428796768188},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4913610517978668},{"id":"https://openalex.org/keywords/kinetic-monte-carlo","display_name":"Kinetic Monte Carlo","score":0.47440052032470703},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4209863543510437},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33317622542381287},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.27304404973983765},{"id":"https://openalex.org/keywords/hybrid-functional","display_name":"Hybrid functional","score":0.2454524040222168},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13627669215202332}],"concepts":[{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.7616401314735413},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.7394955158233643},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.6894167065620422},{"id":"https://openalex.org/C104970782","wikidata":"https://www.wikidata.org/wiki/Q7100054","display_name":"Orbital-free density functional theory","level":4,"score":0.6154212951660156},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6109082698822021},{"id":"https://openalex.org/C16016025","wikidata":"https://www.wikidata.org/wiki/Q3861408","display_name":"Quantum Monte Carlo","level":3,"score":0.6002174019813538},{"id":"https://openalex.org/C152365726","wikidata":"https://www.wikidata.org/wiki/Q1048589","display_name":"Density functional theory","level":2,"score":0.5360603332519531},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.5199428796768188},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4913610517978668},{"id":"https://openalex.org/C45786274","wikidata":"https://www.wikidata.org/wiki/Q3333611","display_name":"Kinetic Monte Carlo","level":3,"score":0.47440052032470703},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4209863543510437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33317622542381287},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.27304404973983765},{"id":"https://openalex.org/C22693506","wikidata":"https://www.wikidata.org/wiki/Q3075290","display_name":"Hybrid functional","level":3,"score":0.2454524040222168},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13627669215202332},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/computation5020030","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation5020030","pdf_url":"https://www.mdpi.com/2079-3197/5/2/30/pdf?version=1497593023","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"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":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:edb1b616183a453cac58e61007035ea5","is_oa":true,"landing_page_url":"https://doaj.org/article/edb1b616183a453cac58e61007035ea5","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":"Computation, Vol 5, Iss 2, p 30 (2017)","raw_type":"article"},{"id":"pmh:oai:escidoc.org:escidoc:2585737","is_oa":true,"landing_page_url":"http://hdl.handle.net/21.11116/0000-0001-5064-4","pdf_url":null,"source":{"id":"https://openalex.org/S7407052962","display_name":"Max Planck Digital Library","issn_l":null,"issn":[],"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":"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:/2079-3197/5/2/30/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/computation5020030","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":"Computation; Volume 5; Issue 2; Pages: 30","raw_type":"Text"},{"id":"pmh:oai:refubium.fu-berlin.de:fub188/20635","is_oa":true,"landing_page_url":"https://refubium.fu-berlin.de/handle/fub188/20635","pdf_url":null,"source":{"id":"https://openalex.org/S4306402444","display_name":"Refubium (Universit\u00e4tsbibliothek der Freien Universit\u00e4t Berlin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I75951250","host_organization_name":"Freie Universit\u00e4t Berlin","host_organization_lineage":["https://openalex.org/I75951250"],"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":"Wissenschaftlicher Artikel"},{"id":"doi:10.17169/refubium-23936","is_oa":true,"landing_page_url":"https://doi.org/10.17169/refubium-23936","pdf_url":null,"source":{"id":"https://openalex.org/S7407052913","display_name":"Universit\u00e4tsbibliothek der FU Berlin Hochschulschriftenstelle u. Dokumentenserver","issn_l":null,"issn":[],"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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/computation5020030","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation5020030","pdf_url":"https://www.mdpi.com/2079-3197/5/2/30/pdf?version=1497593023","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"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":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1843762823","display_name":null,"funder_award_id":"SFB 1114","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W604542437","https://openalex.org/W1489171350","https://openalex.org/W1966661403","https://openalex.org/W1968381780","https://openalex.org/W1978365214","https://openalex.org/W1978575119","https://openalex.org/W1981590156","https://openalex.org/W1987973194","https://openalex.org/W1991220323","https://openalex.org/W2010477091","https://openalex.org/W2026275262","https://openalex.org/W2030976617","https://openalex.org/W2034976220","https://openalex.org/W2035764067","https://openalex.org/W2037663519","https://openalex.org/W2052469084","https://openalex.org/W2060642405","https://openalex.org/W2083290947","https://openalex.org/W2085413777","https://openalex.org/W2088235451","https://openalex.org/W2089215777","https://openalex.org/W2110698278","https://openalex.org/W2113617783","https://openalex.org/W2119359055","https://openalex.org/W2121644225","https://openalex.org/W2134782784","https://openalex.org/W2141757527","https://openalex.org/W2142864517","https://openalex.org/W2144618067","https://openalex.org/W2146747898","https://openalex.org/W2265659755","https://openalex.org/W2998313242","https://openalex.org/W3098564185"],"related_works":["https://openalex.org/W2071966572","https://openalex.org/W2479582286","https://openalex.org/W4206077720","https://openalex.org/W2013110429","https://openalex.org/W3153517852","https://openalex.org/W4378191142","https://openalex.org/W2139060521","https://openalex.org/W4364385439","https://openalex.org/W4385442082","https://openalex.org/W2011493730"],"abstract_inverted_index":{"We":[0,28],"consider":[1],"a":[2,43,144,169],"gas":[3],"of":[4,10,33,37,48,69,72,87,94,101,110,149,163],"interacting":[5],"electrons":[6,49],"in":[7,50,105,114,139],"the":[8,16,31,34,38,58,67,70,73,84,92,95,102,107,125,128,131,160,164,174],"limit":[9],"nearly":[11],"uniform":[12],"density":[13],"and":[14,23,176],"treat":[15],"one":[17,76],"dimensional":[18,21,25],"(1D),":[19],"two":[20],"(2D)":[22],"three":[24],"(3D)":[26],"cases.":[27],"focus":[29],"on":[30,53],"determination":[32],"correlation":[35],"part":[36],"kinetic":[39],"functional":[40,74,97,132],"by":[41],"employing":[42],"Monte":[44,191],"Carlo":[45],"sampling":[46],"technique":[47],"space":[51],"based":[52],"an":[54],"analytic":[55],"derivation":[56],"via":[57],"Levy-Lieb":[59],"constrained":[60],"search":[61],"principle.":[62],"Of":[63],"particular":[64],"interest":[65],"is":[66,117,134,147,155],"question":[68],"behaviour":[71,162],"as":[75,153,189],"passes":[77],"from":[78,124],"1D":[79,140,150],"to":[80,83,127,173],"3D;":[81],"according":[82],"basic":[85,170],"principles":[86],"Density":[88],"Functional":[89],"Theory":[90],"(DFT)":[91],"form":[93,133],"universal":[96],"should":[98],"be":[99],"independent":[100],"dimensionality.":[103],"However,":[104],"practice":[106],"straightforward":[108],"use":[109],"current":[111],"approximate":[112],"functionals":[113],"different":[115],"dimensions":[116],"problematic.":[118],"Here,":[119],"we":[120],"show":[121],"that":[122],"going":[123],"3D":[126],"2D":[129],"case":[130],"consistent":[135],"(concave":[136],"function)":[137],"but":[138],"becomes":[141],"convex;":[142],"such":[143,188],"drastic":[145],"difference":[146],"peculiar":[148],"electron":[151],"systems":[152],"it":[154],"for":[156],"other":[157],"quantities.":[158],"Given":[159],"interesting":[161],"functional,":[165],"this":[166],"study":[167],"represents":[168],"first-principle":[171],"approach":[172],"problem":[175],"suggests":[177],"further":[178],"investigations":[179],"using":[180],"highly":[181],"accurate":[182],"(though":[183],"expensive)":[184],"many-electron":[185],"computational":[186],"techniques,":[187],"Quantum":[190],"Carlo.":[192]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
