{"id":"https://openalex.org/W7225147221","doi":"https://doi.org/10.48550/arxiv.2611.01009","title":"Active Jarzynski and Crooks Relations for Driven Jump-Diffusions","display_name":"Active Jarzynski and Crooks Relations for Driven Jump-Diffusions","publication_year":2026,"publication_date":"2026-10-31","ids":{"openalex":"https://openalex.org/W7225147221","doi":"https://doi.org/10.48550/arxiv.2611.01009"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2611.01009","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2611.01009","pdf_url":"https://arxiv.org/pdf/2611.01009","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/2611.01009","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5140371628","display_name":"Shuyuan Fan","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]},{"id":"https://openalex.org/I4396570619","display_name":"Great Bay University","ror":"https://ror.org/01hdgge16","country_code":"CN","type":"education","lineage":["https://openalex.org/I4396570619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fan, Shuyuan","raw_affiliation_strings":["School of Mathematics , Sun Yat-sen University , Guangzhou , Guangdong 510275 , China","School of Science , Great Bay University , Dongguan , Guangdong 523000 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics , Sun Yat-sen University , Guangzhou , Guangdong 510275 , China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"School of Science , Great Bay University , Dongguan , Guangdong 523000 , China","institution_ids":["https://openalex.org/I4396570619"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103296159","display_name":"Bing Miao","orcid":"https://orcid.org/0000-0002-7564-4375","observed_orcids":["https://orcid.org/0000-0002-7564-4375"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Miao, Bing","raw_affiliation_strings":["Center of Materials Science and Optoelectronics Engineering ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Materials Science and Optoelectronics Engineering ,","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034610999","display_name":"Jinqiao Duan","orcid":"https://orcid.org/0000-0002-2077-990X","observed_orcids":["https://orcid.org/0000-0002-2077-990X"]},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]},{"id":"https://openalex.org/I4396570619","display_name":"Great Bay University","ror":"https://ror.org/01hdgge16","country_code":"CN","type":"education","lineage":["https://openalex.org/I4396570619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Duan, Jinqiao","raw_affiliation_strings":["College of Materials Science and Opto-Electronic Technology , University of Chinese Academy of Sciences (UCAS) , Beijing 100049 , China","School of Science , Great Bay University , Dongguan , Guangdong 523000 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Materials Science and Opto-Electronic Technology , University of Chinese Academy of Sciences (UCAS) , Beijing 100049 , China","institution_ids":["https://openalex.org/I4210165038"]},{"raw_affiliation_string":"School of Science , Great Bay University , Dongguan , Guangdong 523000 , China","institution_ids":["https://openalex.org/I4396570619"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5160437377","display_name":"Qi Zhang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4403928416","display_name":"Beijing Institute of Mathematical Sciences and Applications","ror":"https://ror.org/05t6hvr95","country_code":"CN","type":"education","lineage":["https://openalex.org/I4403928416","https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhang, Qi","raw_affiliation_strings":["Beijing Institute of Mathematical Sciences and Applications , Beijing 101408 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Institute of Mathematical Sciences and Applications , Beijing 101408 , China","institution_ids":["https://openalex.org/I4403928416"]}]}],"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":1.0,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":1.0,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.0,"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/T12139","display_name":"Advanced Thermodynamic Systems and Engines","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fluctuation-relations","display_name":"fluctuation relations","score":0.703000009059906},{"id":"https://openalex.org/keywords/jump-diffusion","display_name":"jump diffusion","score":0.7979999780654907},{"id":"https://openalex.org/keywords/levy-processes","display_name":"L\u00e9vy processes","score":0.8539999723434448},{"id":"https://openalex.org/keywords/free-energy-difference","display_name":"free energy difference","score":0.6029999852180481},{"id":"https://openalex.org/keywords/detailed-balance-violation","display_name":"detailed balance violation","score":0.4860000014305115}],"concepts":[{"id":"https://openalex.org/C207282930","wikidata":"https://www.wikidata.org/wiki/Q5380811","display_name":"Entropy production","level":2,"score":0.6920999884605408},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5701000094413757},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5360000133514404},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5131999850273132},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5044999718666077},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.45320001244544983},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44600000977516174},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.40450000762939453},{"id":"https://openalex.org/C2984125019","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic dynamics","level":2,"score":0.4000999927520752},{"id":"https://openalex.org/C108585399","wikidata":"https://www.wikidata.org/wiki/Q900831","display_name":"Fluctuation theorem","level":3,"score":0.3813000023365021},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.3813000023365021},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.3447999954223633},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.3434999883174896},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.33410000801086426},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.31700000166893005},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.30880001187324524},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.3077000081539154},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.2996000051498413},{"id":"https://openalex.org/C135694725","wikidata":"https://www.wikidata.org/wiki/Q1201087","display_name":"Detailed balance","level":2,"score":0.2962999939918518},{"id":"https://openalex.org/C44492722","wikidata":"https://www.wikidata.org/wiki/Q327069","display_name":"Conditional probability","level":2,"score":0.2897000014781952},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28040000796318054},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.2743000090122223},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.2603999972343445},{"id":"https://openalex.org/C90861158","wikidata":"https://www.wikidata.org/wiki/Q708514","display_name":"Housekeeping","level":3,"score":0.25360000133514404},{"id":"https://openalex.org/C33922130","wikidata":"https://www.wikidata.org/wiki/Q419232","display_name":"Housekeeping gene","level":4,"score":0.2500999867916107},{"id":"https://openalex.org/C98735484","wikidata":"https://www.wikidata.org/wiki/Q186971","display_name":"Time reversibility","level":5,"score":0.25}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2611.01009","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2611.01009","pdf_url":"https://arxiv.org/pdf/2611.01009","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.2611.01009","doi":"https://doi.org/10.48550/arxiv.2611.01009","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2611.01009","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2611.01009","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2611.01009","pdf_url":"https://arxiv.org/pdf/2611.01009","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":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7225147221.pdf","grobid_xml":"https://content.openalex.org/works/W7225147221.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4411128082","https://openalex.org/W2530107306","https://openalex.org/W2950799480","https://openalex.org/W4377029660","https://openalex.org/W2082037498","https://openalex.org/W2935612845","https://openalex.org/W2753193779","https://openalex.org/W2226232484","https://openalex.org/W2074722157","https://openalex.org/W4401078916"],"abstract_inverted_index":{"Non-conservative":[0],"active":[1,93,137,159],"driving":[2],"breaks":[3],"detailed":[4],"balance":[5],"in":[6,148],"non-Gaussian":[7],"jump-diffusions,":[8],"obscuring":[9],"the":[10,39,47,74,81,104,121,132],"connection":[11],"between":[12,123],"external":[13,70],"protocol":[14,71,109],"work,":[15],"housekeeping":[16,67,94],"dissipation,":[17],"and":[18,41,69,101,125,156],"free-energy":[19,146],"differences.":[20],"Here,":[21],"we":[22],"establish":[23],"exact":[24],"finite-time":[25],"fluctuation":[26],"relations":[27],"for":[28,144,157],"driven":[29,149],"Markov":[30],"jump-diffusions---encompassing":[31],"infinite-activity":[32],"L\u00e9vy":[33],"processes---by":[34],"comparing":[35],"path":[36,83],"probabilities":[37],"under":[38],"forward":[40,124],"current-reversed":[42],"dual":[43,82,112],"dynamics":[44],"relative":[45],"to":[46],"instantaneous":[48,153],"steady":[49,154],"state":[50,65],"(ISS).":[51],"We":[52],"derive":[53],"a":[54,77,142],"trajectory-level":[55],"decomposition":[56],"of":[57,136],"total":[58],"entropy":[59,95],"production":[60],"that":[61],"cleanly":[62],"separates":[63],"transient":[64],"relaxation,":[66],"heat,":[68],"driving.":[72],"When":[73],"ISS":[75],"takes":[76],"Gibbsian":[78,152],"form,":[79],"gauge-tilting":[80],"measure":[84],"yields":[85],"an":[86,116],"Active":[87,117],"Jarzynski":[88,106],"equality,":[89],"$\\langle\\exp[-(W+\u0394s_{\\mathrm{act}})]\\rangle_{\u03c0_0}=e^{-\u0394F}$,":[90],"which":[91],"incorporates":[92],"$\u0394s_{\\mathrm{act}}$":[96],"alongside":[97],"mechanical":[98],"work":[99,127],"$W$":[100],"coexists":[102],"with":[103,151],"conventional":[105],"equality.":[107],"Under":[108],"reversal,":[110],"this":[111],"framework":[113,143],"further":[114],"reveals":[115],"Crooks":[118],"relation,":[119],"where":[120],"asymmetry":[122],"reverse":[126],"distributions":[128],"is":[129],"governed":[130],"by":[131],"conditional":[133],"exponential":[134],"average":[135],"dissipation.":[138],"Our":[139],"results":[140],"provide":[141],"recovering":[145],"differences":[147],"jump-diffusions":[150],"states":[155],"characterizing":[158],"irreversibility":[160],"through":[161],"trajectory":[162],"statistics.":[163]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-11-04T00:00:00"}