{"id":"https://openalex.org/W7223045253","doi":"https://doi.org/10.48550/arxiv.2610.26086","title":"Heavy-quark thermalization in the quark-gluon plasma via a fractional Langevin equation","display_name":"Heavy-quark thermalization in the quark-gluon plasma via a fractional Langevin equation","publication_year":2026,"publication_date":"2026-10-19","ids":{"openalex":"https://openalex.org/W7223045253","doi":"https://doi.org/10.48550/arxiv.2610.26086"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.26086","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.26086","pdf_url":"https://arxiv.org/pdf/2610.26086","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.26086","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084857565","display_name":"Jai Prakash","orcid":"https://orcid.org/0000-0002-0328-1165","observed_orcids":["https://orcid.org/0000-0002-0328-1165"]},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I4405271294","display_name":"Shanghai Key Laboratory for Particle Physics and Cosmology","ror":"https://ror.org/026y40n38","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4405271294"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Prakash, Jai","raw_affiliation_strings":["State Key Laboratory of Dark Matter Physics , Shanghai Key Laboratory for Particle Physics and Cosmology , Key Laboratory for Particle Astrophysics and Cosmology (MOE) , School of Physics and Astronomy , Shanghai Jiao Tong University , Shanghai 200240 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Dark Matter Physics , Shanghai Key Laboratory for Particle Physics and Cosmology , Key Laboratory for Particle Astrophysics and Cosmology (MOE) , School of Physics and Astronomy , Shanghai Jiao Tong University , Shanghai 200240 , China","institution_ids":["https://openalex.org/I183067930","https://openalex.org/I4405271294"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008495851","display_name":"Mohammad Yousuf Jamal","orcid":"https://orcid.org/0000-0003-2386-5755","observed_orcids":["https://orcid.org/0000-0003-2386-5755"]},"institutions":[{"id":"https://openalex.org/I40963666","display_name":"Central China Normal University","ror":"https://ror.org/03x1jna21","country_code":"CN","type":"education","lineage":["https://openalex.org/I40963666"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jamal, Mohammad Yousuf","raw_affiliation_strings":["Key Laboratory of Quark and Lepton Physics (MOE) & Institute of Particle Physics , Central China Normal University , Wuhan 430079 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Quark and Lepton Physics (MOE) & Institute of Particle Physics , Central China Normal University , Wuhan 430079 , China","institution_ids":["https://openalex.org/I40963666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125715638","display_name":"Shanshan Cao","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cao, Shanshan","raw_affiliation_strings":["School of Physics , Southeast University , Nanjing 211189 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics , Southeast University , Nanjing 211189 , China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159123853","display_name":"Guang-You Qin b","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I40963666","display_name":"Central China Normal University","ror":"https://ror.org/03x1jna21","country_code":"CN","type":"education","lineage":["https://openalex.org/I40963666"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qin, Guang-You","raw_affiliation_strings":["Key Laboratory of Quark and Lepton Physics (MOE) & Institute of Particle Physics , Central China Normal University , Wuhan 430079 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Quark and Lepton Physics (MOE) & Institute of Particle Physics , Central China Normal University , Wuhan 430079 , China","institution_ids":["https://openalex.org/I40963666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5159097250","display_name":"Yifeng Sun","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I4405271294","display_name":"Shanghai Key Laboratory for Particle Physics and Cosmology","ror":"https://ror.org/026y40n38","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4405271294"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sun, Yifeng","raw_affiliation_strings":["State Key Laboratory of Dark Matter Physics , Shanghai Key Laboratory for Particle Physics and Cosmology , Key Laboratory for Particle Astrophysics and Cosmology (MOE) , School of Physics and Astronomy , Shanghai Jiao Tong University , Shanghai 200240 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Dark Matter Physics , Shanghai Key Laboratory for Particle Physics and Cosmology , Key Laboratory for Particle Astrophysics and Cosmology (MOE) , School of Physics and Astronomy , Shanghai Jiao Tong University , Shanghai 200240 , China","institution_ids":["https://openalex.org/I183067930","https://openalex.org/I4405271294"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10527","display_name":"High-Energy Particle Collisions Research","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/T10527","display_name":"High-Energy Particle Collisions Research","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.0017000000225380063,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.0003000000142492354,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quark-gluon-plasma","display_name":"quark-gluon plasma","score":1.0},{"id":"https://openalex.org/keywords/fractional-langevin-equation","display_name":"fractional Langevin equation","score":0.9990000128746033},{"id":"https://openalex.org/keywords/caputo-fractional-derivative","display_name":"Caputo fractional derivative","score":0.9629999995231628},{"id":"https://openalex.org/keywords/heavy-quark-energy-loss","display_name":"heavy quark energy loss","score":0.890999972820282},{"id":"https://openalex.org/keywords/nuclear-suppression-factor","display_name":"nuclear suppression factor","score":0.7850000262260437},{"id":"https://openalex.org/keywords/momentum-broadening","display_name":"momentum broadening","score":0.7289999723434448},{"id":"https://openalex.org/keywords/fractional-order-dynamics","display_name":"fractional dynamics","score":0.4169999957084656}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9114999771118164},{"id":"https://openalex.org/C2777577648","wikidata":"https://www.wikidata.org/wiki/Q584537","display_name":"Langevin equation","level":2,"score":0.7978000044822693},{"id":"https://openalex.org/C15359245","wikidata":"https://www.wikidata.org/wiki/Q1347805","display_name":"Thermalisation","level":2,"score":0.7249000072479248},{"id":"https://openalex.org/C2780004032","wikidata":"https://www.wikidata.org/wiki/Q6485978","display_name":"Langevin dynamics","level":2,"score":0.6478999853134155},{"id":"https://openalex.org/C7602139","wikidata":"https://www.wikidata.org/wiki/Q6718","display_name":"Quark","level":2,"score":0.6244999766349792},{"id":"https://openalex.org/C60718061","wikidata":"https://www.wikidata.org/wiki/Q1414747","display_name":"Momentum (technical analysis)","level":2,"score":0.5819000005722046},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.574400007724762},{"id":"https://openalex.org/C2292967","wikidata":"https://www.wikidata.org/wiki/Q733096","display_name":"Quark\u2013gluon plasma","level":3,"score":0.5260999798774719},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.43880000710487366},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.43369999527931213},{"id":"https://openalex.org/C185544564","wikidata":"https://www.wikidata.org/wiki/Q81197","display_name":"Nuclear physics","level":1,"score":0.37689998745918274},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.374099999666214},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.3711000084877014},{"id":"https://openalex.org/C47513753","wikidata":"https://www.wikidata.org/wiki/Q3502299","display_name":"Energy\u2013momentum relation","level":2,"score":0.3707999885082245},{"id":"https://openalex.org/C25881689","wikidata":"https://www.wikidata.org/wiki/Q6897258","display_name":"Momentum diffusion","level":3,"score":0.36079999804496765},{"id":"https://openalex.org/C69123182","wikidata":"https://www.wikidata.org/wiki/Q891766","display_name":"Fokker\u2013Planck equation","level":3,"score":0.3244999945163727},{"id":"https://openalex.org/C130603088","wikidata":"https://www.wikidata.org/wiki/Q4976526","display_name":"Brownian dynamics","level":3,"score":0.3086000084877014},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.30649998784065247},{"id":"https://openalex.org/C2777242750","wikidata":"https://www.wikidata.org/wiki/Q31351","display_name":"Slowdown","level":2,"score":0.3003000020980835},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.29190000891685486},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.29179999232292175},{"id":"https://openalex.org/C17685861","wikidata":"https://www.wikidata.org/wiki/Q6960532","display_name":"Time derivative","level":2,"score":0.29120001196861267},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.2849000096321106},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2847000062465668},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.2750000059604645},{"id":"https://openalex.org/C111915175","wikidata":"https://www.wikidata.org/wiki/Q1801562","display_name":"Material derivative","level":2,"score":0.27230000495910645},{"id":"https://openalex.org/C180566339","wikidata":"https://www.wikidata.org/wiki/Q117483","display_name":"Parton","level":3,"score":0.26499998569488525},{"id":"https://openalex.org/C106553664","wikidata":"https://www.wikidata.org/wiki/Q1156744","display_name":"Time evolution","level":2,"score":0.26269999146461487},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.257999986410141},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.25200000405311584}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.26086","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.26086","pdf_url":"https://arxiv.org/pdf/2610.26086","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":"doi:10.48550/arxiv.2610.26086","doi":"https://doi.org/10.48550/arxiv.2610.26086","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.26086","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-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.26086","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.26086","pdf_url":"https://arxiv.org/pdf/2610.26086","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2687398130","display_name":"\u5938\u514b\u80f6\u5b50\u7b49\u79bb\u5b50\u4f53\u8f93\u8fd0\u6027\u8d28\u548c\u65b0\u5947\u8f93\u8fd0\u6a21\u5f0f\u7814\u7a76","funder_award_id":"23JC1402700","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G4460254015","display_name":null,"funder_award_id":"12422508","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5574954961","display_name":null,"funder_award_id":"12575146","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7552332688","display_name":null,"funder_award_id":"12225503","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8044320729","display_name":null,"funder_award_id":"12375124","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321885","display_name":"Science and Technology Commission of Shanghai Municipality","ror":"https://ror.org/03kt66j61"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223045253.pdf","grobid_xml":"https://content.openalex.org/works/W7223045253.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W7171363943"],"related_works":["https://openalex.org/W4403204365","https://openalex.org/W7153670252","https://openalex.org/W7153218465","https://openalex.org/W4293464156","https://openalex.org/W4399324310","https://openalex.org/W2001824442","https://openalex.org/W2964344445","https://openalex.org/W2118983550","https://openalex.org/W1916974548","https://openalex.org/W4280490785"],"abstract_inverted_index":{"The":[0,97,127,139],"dynamics":[1,154],"of":[2,37,72,93,130,142,155],"heavy":[3,59,95,133,144,157],"quarks":[4,158],"in":[5,62,111,159],"the":[6,23,34,45,51,58,63,69,73,89,94,102,114,119,143,152,156,160],"quark-gluon":[7,64],"plasma":[8,65],"is":[9],"commonly":[10],"described":[11],"within":[12],"a":[13,28,124],"standard":[14],"Langevin":[15,30,47],"equation":[16,31,48],"framework.":[17],"In":[18],"this":[19],"work,":[20],"we":[21],"extend":[22],"conventional":[24],"framework":[25],"by":[26],"using":[27],"fractional":[29,46,115,153],"based":[32],"on":[33],"Caputo":[35],"derivative":[36],"order":[38],"$\u03b1$":[39,107],"with":[40,113,137],"$1<\u03b1\\leq":[41],"2$.":[42],"We":[43,67],"solve":[44],"and":[49,88,118],"derive":[50],"corresponding":[52],"{\\textit":[53],"{fractional":[54],"fluctuation-dissipation":[55,116],"theorem}}":[56],"for":[57,105],"quark":[60,134,145],"thermalization":[61],"medium.":[66,162],"calculate":[68],"time":[70,140],"evolution":[71,141],"mean-squared":[74,76,98],"momentum,":[75],"displacement,":[77],"momentum":[78,83,86,99,146],"distribution,":[79],"energy":[80,128],"loss,":[81,84],"longitudinal":[82],"transverse":[85],"broadening,":[87],"nuclear":[90,120],"suppression":[91,121],"factor":[92,122],"quarks.":[96],"thermalizes":[100],"to":[101,151],"same":[103],"value":[104],"all":[106],"at":[108],"late":[109],"times,":[110],"agreement":[112],"theorem,":[117],"shows":[123],"systematic":[125],"$\u03b1$-dependence.":[126],"loss":[129],"an":[131],"energetic":[132],"grows":[135],"strongly":[136],"$\u03b1$.":[138],"distribution":[147],"provides":[148],"additional":[149],"sensitivity":[150],"QGP":[161]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-21T00:00:00"}