{"id":"https://openalex.org/W7222992995","doi":"https://doi.org/10.1063/5.0350332","title":"Run-and-tumble particles in a harmonic external field: Constructing the solution of the Fokker\u2013Planck equation from the equations of motion","display_name":"Run-and-tumble particles in a harmonic external field: Constructing the solution of the Fokker\u2013Planck equation from the equations of motion","publication_year":2026,"publication_date":"2026-11-03","ids":{"openalex":"https://openalex.org/W7222992995","doi":"https://doi.org/10.1063/5.0350332","pmid":"https://pubmed.ncbi.nlm.nih.gov/42974977"},"language":"en","primary_location":{"id":"doi:10.1063/5.0350332","doi":"https://doi.org/10.1063/5.0350332","is_oa":false,"landing_page_url":"https://doi.org/10.1063/5.0350332","pdf_url":null,"source":{"id":"https://openalex.org/S77047749","display_name":"The Journal of Chemical Physics","issn_l":"0021-9606","issn":["0021-9606","1089-7690","1520-9032"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Chemical Physics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.24961","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107792380","display_name":"Aoran Sun","orcid":"https://orcid.org/0000-0003-4351-7838","observed_orcids":["https://orcid.org/0000-0003-4351-7838"]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210159876","display_name":"Institute of Physics","ror":"https://ror.org/05cvf7v30","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210159876"]},{"id":"https://openalex.org/I4405270142","display_name":"Wenzhou Institute, University of Chinese Academy of Sciences","ror":"https://ror.org/004vy8c88","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4405270142"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Aoran Sun","raw_affiliation_strings":["Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences 1 , Beijing 100190,","Zhejiang Key Laboratory of Soft Matter Biomedical Materials, Wenzhou Institute, University of Chinese Academy of Sciences 2 , Wenzhou, Zhejiang 325000,"],"raw_orcid":"https://orcid.org/0000-0003-4351-7838","affiliations":[{"raw_affiliation_string":"Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences 1 , Beijing 100190,","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210159876"]},{"raw_affiliation_string":"Zhejiang Key Laboratory of Soft Matter Biomedical Materials, Wenzhou Institute, University of Chinese Academy of Sciences 2 , Wenzhou, Zhejiang 325000,","institution_ids":["https://openalex.org/I4405270142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032253172","display_name":"Fang-fu Ye","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210159876","display_name":"Institute of Physics","ror":"https://ror.org/05cvf7v30","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210159876"]},{"id":"https://openalex.org/I4405270142","display_name":"Wenzhou Institute, University of Chinese Academy of Sciences","ror":"https://ror.org/004vy8c88","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4405270142"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Fangfu Ye","raw_affiliation_strings":["Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences 1 , Beijing 100190,","Zhejiang Key Laboratory of Soft Matter Biomedical Materials, Wenzhou Institute, University of Chinese Academy of Sciences 2 , Wenzhou, Zhejiang 325000,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences 1 , Beijing 100190,","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210159876"]},{"raw_affiliation_string":"Zhejiang Key Laboratory of Soft Matter Biomedical Materials, Wenzhou Institute, University of Chinese Academy of Sciences 2 , Wenzhou, Zhejiang 325000,","institution_ids":["https://openalex.org/I4405270142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5159142016","display_name":"Jeff Z. Y. Chen","orcid":"https://orcid.org/0000-0002-7994-6231","observed_orcids":["https://orcid.org/0000-0002-7994-6231"]},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]},{"id":"https://openalex.org/I4405270142","display_name":"Wenzhou Institute, University of Chinese Academy of Sciences","ror":"https://ror.org/004vy8c88","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4405270142"]}],"countries":["CA","CN"],"is_corresponding":true,"raw_author_name":"Jeff Z. Y. Chen","raw_affiliation_strings":["Department of Physics and Astronomy, University of Waterloo 3 , Waterloo, Ontario N2L 3G1,","Zhejiang Key Laboratory of Soft Matter Biomedical Materials, Wenzhou Institute, University of Chinese Academy of Sciences 2 , Wenzhou, Zhejiang 325000,"],"raw_orcid":"https://orcid.org/0000-0002-7994-6231","affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, University of Waterloo 3 , Waterloo, Ontario N2L 3G1,","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Zhejiang Key Laboratory of Soft Matter Biomedical Materials, Wenzhou Institute, University of Chinese Academy of Sciences 2 , Wenzhou, Zhejiang 325000,","institution_ids":["https://openalex.org/I4405270142"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5032253172","https://openalex.org/A5107792380","https://openalex.org/A5159142016"],"corresponding_institution_ids":["https://openalex.org/I151746483","https://openalex.org/I19820366","https://openalex.org/I4210159876","https://openalex.org/I4405270142"],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.71223262,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"165","issue":"17","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11486","display_name":"Micro and Nano Robotics","score":0.5439000129699707,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T11486","display_name":"Micro and Nano Robotics","score":0.5439000129699707,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.21250000596046448,"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":0.04100000113248825,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/run-and-tumble-particles","display_name":"run-and-tumble particles","score":0.9700000286102295},{"id":"https://openalex.org/keywords/fokker-planck-equation","display_name":"Fokker-Planck equation","score":0.9210000038146973},{"id":"https://openalex.org/keywords/stationary-distribution","display_name":"stationary distribution","score":0.7770000100135803},{"id":"https://openalex.org/keywords/correlation-functions","display_name":"correlation functions","score":0.6690000295639038},{"id":"https://openalex.org/keywords/exact-solutions","display_name":"exact solutions","score":0.597000002861023},{"id":"https://openalex.org/keywords/active-matter","display_name":"active matter","score":0.4490000009536743}],"concepts":[{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.6650999784469604},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.603600025177002},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5627999901771545},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.5411999821662903},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5134000182151794},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5016000270843506},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.48730000853538513},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4702000021934509},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.45410001277923584},{"id":"https://openalex.org/C2777577648","wikidata":"https://www.wikidata.org/wiki/Q584537","display_name":"Langevin equation","level":2,"score":0.44690001010894775},{"id":"https://openalex.org/C40934718","wikidata":"https://www.wikidata.org/wiki/Q190070","display_name":"Harmonic oscillator","level":2,"score":0.4415999948978424},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4189999997615814},{"id":"https://openalex.org/C75816695","wikidata":"https://www.wikidata.org/wiki/Q835975","display_name":"Simple harmonic motion","level":2,"score":0.39079999923706055},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.37689998745918274},{"id":"https://openalex.org/C43555835","wikidata":"https://www.wikidata.org/wiki/Q2300258","display_name":"Conditional probability distribution","level":2,"score":0.3711000084877014},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.3682999908924103},{"id":"https://openalex.org/C2991656669","wikidata":"https://www.wikidata.org/wiki/Q677864","display_name":"Harmonic potential","level":2,"score":0.3652999997138977},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.33379998803138733},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.32179999351501465},{"id":"https://openalex.org/C627467","wikidata":"https://www.wikidata.org/wiki/Q599027","display_name":"Harmonic function","level":2,"score":0.3215999901294708},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.3165999948978424},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.28619998693466187},{"id":"https://openalex.org/C131770355","wikidata":"https://www.wikidata.org/wiki/Q876215","display_name":"Harmonic analysis","level":2,"score":0.2680000066757202},{"id":"https://openalex.org/C185184677","wikidata":"https://www.wikidata.org/wiki/Q1366795","display_name":"Exact differential equation","level":4,"score":0.258899986743927}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1063/5.0350332","doi":"https://doi.org/10.1063/5.0350332","is_oa":false,"landing_page_url":"https://doi.org/10.1063/5.0350332","pdf_url":null,"source":{"id":"https://openalex.org/S77047749","display_name":"The Journal of Chemical Physics","issn_l":"0021-9606","issn":["0021-9606","1089-7690","1520-9032"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Chemical Physics","raw_type":"journal-article"},{"id":"pmid:42974977","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/42974977","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,"listed_in":[],"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":"The Journal of chemical physics","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:2610.24961","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.24961","pdf_url":"https://arxiv.org/pdf/2610.24961","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.2610.24961","doi":"https://doi.org/10.48550/arxiv.2610.24961","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.24961","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:2610.24961","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.24961","pdf_url":"https://arxiv.org/pdf/2610.24961","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/G3347919835","display_name":null,"funder_award_id":"12325405","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5467704715","display_name":null,"funder_award_id":"2022YFA1405002","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program 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/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7222992995.pdf","grobid_xml":"https://content.openalex.org/works/W7222992995.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4409870553","https://openalex.org/W3197356251","https://openalex.org/W4308966048","https://openalex.org/W4402953772","https://openalex.org/W7204200047","https://openalex.org/W4394567581","https://openalex.org/W7222435225","https://openalex.org/W4387542066","https://openalex.org/W3160917952","https://openalex.org/W4292648174"],"abstract_inverted_index":{"A":[0],"method":[1],"for":[2,9,75,82],"integrating":[3],"the":[4,16,37,40,43,46,51,59,71,76,83,102,106],"Langevin":[5],"equations":[6],"of":[7,19,39,42,105],"motion":[8],"run-and-tumble":[10,64],"particles":[11,52,65],"is":[12,36],"introduced":[13],"to":[14,97,101],"compute":[15],"joint":[17],"distribution":[18,44],"their":[20,99],"position":[21],"and":[22,26,45],"active":[23],"velocity,":[24],"with":[25],"without":[27],"a":[28,55,67,88],"harmonic":[29,68],"external":[30,69],"force":[31],"field.":[32],"The":[33],"key":[34],"step":[35],"construction":[38],"moments":[41],"correlation":[47],"functions,":[48],"conditional":[49,86],"on":[50,87],"being":[53],"in":[54,66],"specific":[56],"state":[57,85],"at":[58],"final":[60],"time.":[61],"For":[62],"one-dimensional":[63],"potential,":[70],"exact":[72,103],"steady-state":[73],"distributions":[74],"tumble":[77],"state,":[78],"as":[79,81],"well":[80],"run":[84],"specified":[89],"velocity":[90],"direction,":[91],"are":[92],"obtained.":[93],"This":[94],"enables":[95],"us":[96],"demonstrate":[98],"equivalence":[100],"solutions":[104],"corresponding":[107],"Fokker-Planck":[108],"equations.":[109]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2026-10-21T00:00:00"}
