{"id":"https://openalex.org/W4392560908","doi":"https://doi.org/10.3390/sym16030320","title":"Nonequilibrium Casimir\u2013Polder Force between Nanoparticles and Graphene-Coated Silica Plate: Combined Effect of the Chemical Potential and Mass Gap","display_name":"Nonequilibrium Casimir\u2013Polder Force between Nanoparticles and Graphene-Coated Silica Plate: Combined Effect of the Chemical Potential and Mass Gap","publication_year":2024,"publication_date":"2024-03-07","ids":{"openalex":"https://openalex.org/W4392560908","doi":"https://doi.org/10.3390/sym16030320"},"language":"en","primary_location":{"id":"doi:10.3390/sym16030320","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16030320","pdf_url":"https://www.mdpi.com/2073-8994/16/3/320/pdf?version=1709800372","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/16/3/320/pdf?version=1709800372","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082675752","display_name":"G. L. Klimchitskaya","orcid":"https://orcid.org/0000-0003-0495-5907"},"institutions":[{"id":"https://openalex.org/I212220629","display_name":"Peter the Great St. Petersburg Polytechnic University","ror":"https://ror.org/02x91aj62","country_code":"RU","type":"education","lineage":["https://openalex.org/I212220629"]},{"id":"https://openalex.org/I2801144803","display_name":"Pulkovo Observatory","ror":"https://ror.org/05m4hh157","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801144803","https://openalex.org/I4210096333"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Galina L. Klimchitskaya","raw_affiliation_strings":["Central Astronomical Observatory at Pulkovo of the Russian Academy of Sciences, 196140 Saint Petersburg, Russia","Peter the Great Saint Petersburg Polytechnic University, 195251 Saint Petersburg, Russia"],"raw_orcid":"https://orcid.org/0000-0003-0495-5907","affiliations":[{"raw_affiliation_string":"Central Astronomical Observatory at Pulkovo of the Russian Academy of Sciences, 196140 Saint Petersburg, Russia","institution_ids":["https://openalex.org/I2801144803"]},{"raw_affiliation_string":"Peter the Great Saint Petersburg Polytechnic University, 195251 Saint Petersburg, Russia","institution_ids":["https://openalex.org/I212220629"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044370695","display_name":"C. C. Korikov","orcid":"https://orcid.org/0000-0001-6227-5542"},"institutions":[{"id":"https://openalex.org/I4210159102","display_name":"Huawei Technologies (Sweden)","ror":"https://ror.org/0500fyd17","country_code":"SE","type":"company","lineage":["https://openalex.org/I2250955327","https://openalex.org/I4210159102"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Constantine C. Korikov","raw_affiliation_strings":["Huawei Noah\u2019s Ark Lab, Krylatskaya Str. 17, 121614 Moscow, Russia","Huawei Noah's Ark Lab, Krylatskaya Str. 17, 121614 Moscow, Russia"],"raw_orcid":"https://orcid.org/0000-0001-6227-5542","affiliations":[{"raw_affiliation_string":"Huawei Noah\u2019s Ark Lab, Krylatskaya Str. 17, 121614 Moscow, Russia","institution_ids":["https://openalex.org/I4210159102"]},{"raw_affiliation_string":"Huawei Noah's Ark Lab, Krylatskaya Str. 17, 121614 Moscow, Russia","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079685850","display_name":"V. M. Mostepanenko","orcid":"https://orcid.org/0000-0001-8560-998X"},"institutions":[{"id":"https://openalex.org/I21203515","display_name":"Kazan Federal University","ror":"https://ror.org/05256ym39","country_code":"RU","type":"education","lineage":["https://openalex.org/I21203515"]},{"id":"https://openalex.org/I212220629","display_name":"Peter the Great St. Petersburg Polytechnic University","ror":"https://ror.org/02x91aj62","country_code":"RU","type":"education","lineage":["https://openalex.org/I212220629"]},{"id":"https://openalex.org/I2801144803","display_name":"Pulkovo Observatory","ror":"https://ror.org/05m4hh157","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801144803","https://openalex.org/I4210096333"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Vladimir M. Mostepanenko","raw_affiliation_strings":["Central Astronomical Observatory at Pulkovo of the Russian Academy of Sciences, 196140 Saint Petersburg, Russia","Kazan Federal University, 420008 Kazan, Russia","Peter the Great Saint Petersburg Polytechnic University, 195251 Saint Petersburg, Russia"],"raw_orcid":"https://orcid.org/0000-0001-8560-998X","affiliations":[{"raw_affiliation_string":"Central Astronomical Observatory at Pulkovo of the Russian Academy of Sciences, 196140 Saint Petersburg, Russia","institution_ids":["https://openalex.org/I2801144803"]},{"raw_affiliation_string":"Kazan Federal University, 420008 Kazan, Russia","institution_ids":["https://openalex.org/I21203515"]},{"raw_affiliation_string":"Peter the Great Saint Petersburg Polytechnic University, 195251 Saint Petersburg, Russia","institution_ids":["https://openalex.org/I212220629"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5082675752"],"corresponding_institution_ids":["https://openalex.org/I212220629","https://openalex.org/I2801144803"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.873,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.67377923,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"16","issue":"3","first_page":"320","last_page":"320"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12220","display_name":"Quantum Electrodynamics and Casimir Effect","score":0.9998000264167786,"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/T12220","display_name":"Quantum Electrodynamics and Casimir Effect","score":0.9998000264167786,"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/T10074","display_name":"Carbon Nanotubes in Composites","score":0.9706000089645386,"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/T11449","display_name":"Mechanical and Optical Resonators","score":0.917900025844574,"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/casimir-effect","display_name":"Casimir effect","score":0.9260692596435547},{"id":"https://openalex.org/keywords/graphene","display_name":"Graphene","score":0.748313307762146},{"id":"https://openalex.org/keywords/nanoparticle","display_name":"Nanoparticle","score":0.567464292049408},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.510424792766571},{"id":"https://openalex.org/keywords/non-equilibrium-thermodynamics","display_name":"Non-equilibrium thermodynamics","score":0.494778573513031},{"id":"https://openalex.org/keywords/mass-gap","display_name":"Mass gap","score":0.4165147840976715},{"id":"https://openalex.org/keywords/nanotechnology","display_name":"Nanotechnology","score":0.3970358073711395},{"id":"https://openalex.org/keywords/chemical-physics","display_name":"Chemical physics","score":0.35035020112991333},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3296706974506378},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.32827723026275635},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3006439208984375},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.2137020230293274},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1604931652545929}],"concepts":[{"id":"https://openalex.org/C106881136","wikidata":"https://www.wikidata.org/wiki/Q275393","display_name":"Casimir effect","level":2,"score":0.9260692596435547},{"id":"https://openalex.org/C30080830","wikidata":"https://www.wikidata.org/wiki/Q169917","display_name":"Graphene","level":2,"score":0.748313307762146},{"id":"https://openalex.org/C155672457","wikidata":"https://www.wikidata.org/wiki/Q61231","display_name":"Nanoparticle","level":2,"score":0.567464292049408},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.510424792766571},{"id":"https://openalex.org/C74859849","wikidata":"https://www.wikidata.org/wiki/Q2466686","display_name":"Non-equilibrium thermodynamics","level":2,"score":0.494778573513031},{"id":"https://openalex.org/C2777925532","wikidata":"https://www.wikidata.org/wiki/Q5357201","display_name":"Mass gap","level":2,"score":0.4165147840976715},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.3970358073711395},{"id":"https://openalex.org/C159467904","wikidata":"https://www.wikidata.org/wiki/Q2001702","display_name":"Chemical physics","level":1,"score":0.35035020112991333},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3296706974506378},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.32827723026275635},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3006439208984375},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2137020230293274},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1604931652545929}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym16030320","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16030320","pdf_url":"https://www.mdpi.com/2073-8994/16/3/320/pdf?version=1709800372","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2403.05983","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2403.05983","pdf_url":"https://arxiv.org/pdf/2403.05983","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,"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:a782f66830cc499696f96af131fbb182","is_oa":false,"landing_page_url":"https://doaj.org/article/a782f66830cc499696f96af131fbb182","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 16, Iss 3, p 320 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym16030320","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16030320","pdf_url":"https://www.mdpi.com/2073-8994/16/3/320/pdf?version=1709800372","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392560908.pdf","grobid_xml":"https://content.openalex.org/works/W4392560908.grobid-xml"},"referenced_works_count":98,"referenced_works":["https://openalex.org/W590682023","https://openalex.org/W1667405898","https://openalex.org/W1711394538","https://openalex.org/W1802005083","https://openalex.org/W1900694777","https://openalex.org/W1964543109","https://openalex.org/W1970979307","https://openalex.org/W1972812942","https://openalex.org/W1975802028","https://openalex.org/W1976336841","https://openalex.org/W1980208312","https://openalex.org/W1983796888","https://openalex.org/W1988271424","https://openalex.org/W1991956512","https://openalex.org/W1993284765","https://openalex.org/W1996916728","https://openalex.org/W1997966007","https://openalex.org/W1999502563","https://openalex.org/W2006183985","https://openalex.org/W2011146103","https://openalex.org/W2014935324","https://openalex.org/W2018181242","https://openalex.org/W2024326987","https://openalex.org/W2028019467","https://openalex.org/W2029755322","https://openalex.org/W2034818583","https://openalex.org/W2037525153","https://openalex.org/W2037573726","https://openalex.org/W2041449248","https://openalex.org/W2043279918","https://openalex.org/W2066294614","https://openalex.org/W2068247081","https://openalex.org/W2073496222","https://openalex.org/W2074339421","https://openalex.org/W2074549982","https://openalex.org/W2076076242","https://openalex.org/W2079332515","https://openalex.org/W2083243965","https://openalex.org/W2084243509","https://openalex.org/W2087090334","https://openalex.org/W2087607748","https://openalex.org/W2089673388","https://openalex.org/W2093607896","https://openalex.org/W2095907979","https://openalex.org/W2105405081","https://openalex.org/W2105685140","https://openalex.org/W2135115005","https://openalex.org/W2149439577","https://openalex.org/W2155767890","https://openalex.org/W2160871560","https://openalex.org/W2206016398","https://openalex.org/W2219410404","https://openalex.org/W2246151691","https://openalex.org/W2276638619","https://openalex.org/W2405944393","https://openalex.org/W2563872573","https://openalex.org/W2600591282","https://openalex.org/W2735935650","https://openalex.org/W2768927113","https://openalex.org/W2780337658","https://openalex.org/W2784544717","https://openalex.org/W2788444898","https://openalex.org/W2893919757","https://openalex.org/W2902391307","https://openalex.org/W2962946177","https://openalex.org/W2964664345","https://openalex.org/W3006754392","https://openalex.org/W3012660640","https://openalex.org/W3013274891","https://openalex.org/W3084586744","https://openalex.org/W3094792102","https://openalex.org/W3099689502","https://openalex.org/W3103246820","https://openalex.org/W3103525823","https://openalex.org/W3104875720","https://openalex.org/W3105129349","https://openalex.org/W3119553397","https://openalex.org/W3128231176","https://openalex.org/W3137569134","https://openalex.org/W3164010484","https://openalex.org/W3164657505","https://openalex.org/W3193443477","https://openalex.org/W3207376185","https://openalex.org/W4200585638","https://openalex.org/W4211206151","https://openalex.org/W4226212659","https://openalex.org/W4229027437","https://openalex.org/W4281294261","https://openalex.org/W4379378517","https://openalex.org/W4382135926","https://openalex.org/W4385811533","https://openalex.org/W4386496794","https://openalex.org/W4388264225","https://openalex.org/W6661258158","https://openalex.org/W6775237307","https://openalex.org/W6785470917","https://openalex.org/W6803090145","https://openalex.org/W7066470421"],"related_works":["https://openalex.org/W3103494328","https://openalex.org/W2963680512","https://openalex.org/W2012809549","https://openalex.org/W2326718576","https://openalex.org/W1602967094","https://openalex.org/W4298183626","https://openalex.org/W3015106792","https://openalex.org/W2081804922","https://openalex.org/W2273337457","https://openalex.org/W2753847675"],"abstract_inverted_index":{"The":[0,24,62,132,156,210],"Casimir\u2013Polder":[1,64],"force":[2,65,104,134,192],"between":[3,181,193],"spherical":[4],"nanoparticles":[5,194],"and":[6,80,112,169,183,195],"a":[7,69,122,196,205],"graphene-coated":[8,85,123,142,198],"silica":[9],"plate":[10,124,150,199],"is":[11,34,66,100,115,125,146,151,158],"investigated":[12],"in":[13,55],"situations":[14],"out":[15],"of":[16,26,39,42,51,58,71,78,83,96,121,129,140,164,173,189,220],"thermal":[17],"equilibrium,":[18],"i.e.,":[19],"with":[20,107,137,208],"broken":[21],"time-reversal":[22],"symmetry.":[23],"response":[25],"the":[27,31,37,49,52,56,59,72,75,81,84,97,103,108,119,130,141,149,154,161,165,174,179,187,190,221],"graphene":[28,175,206],"coating":[29,176,207],"to":[30],"electromagnetic":[32],"field":[33],"described":[35],"on":[36,178],"basis":[38],"first":[40],"principles":[41],"quantum":[43],"electrodynamics":[44],"at":[45],"nonzero":[46],"temperature":[47,82,120,139],"using":[48],"formalism":[50],"polarization":[53],"tensor":[54],"framework":[57],"Dirac":[60],"model.":[61],"nonequilibrium":[63,133,191],"calculated":[67],"as":[68],"function":[70],"mass-gap":[73],"parameter,":[74],"chemical":[76,110,166],"potential":[77],"graphene,":[79],"plate,":[86],"which":[87],"can":[88],"be":[89],"both":[90],"higher":[91],"or":[92],"lower":[93,126],"than":[94,127,153,203],"that":[95,102,128,160],"environment.":[98,131,155],"It":[99],"shown":[101],"value":[105],"increases":[106,136],"increasing":[109,138],"potential,":[111,167],"this":[113,214],"increase":[114,145],"more":[116],"pronounced":[117],"when":[118,148],"also":[135],"plate.":[143],"This":[144],"larger":[147,202],"hotter":[152],"effect":[157,215],"revealed":[159],"combined":[162],"impact":[163],"\u03bc,":[168],"mass":[170],"gap,":[171],"\u0394,":[172],"depends":[177],"relationship":[180],"\u0394":[182],"2\u03bc.":[184],"If":[185],"2\u03bc>\u0394,":[186],"magnitude":[188],"cooled":[197],"becomes":[200],"much":[201],"for":[204],"\u03bc=0.":[209],"physical":[211],"reasons":[212],"explaining":[213],"are":[216,224],"elucidated.":[217],"Possible":[218],"applications":[219],"obtained":[222],"results":[223],"discussed.":[225]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}