{"id":"https://openalex.org/W7213604227","doi":"https://doi.org/10.48550/arxiv.2609.20681","title":"Martingale theory for heat and phase-space contraction in heterogeneous diffusions","display_name":"Martingale theory for heat and phase-space contraction in heterogeneous diffusions","publication_year":2026,"publication_date":"2026-09-17","ids":{"openalex":"https://openalex.org/W7213604227","doi":"https://doi.org/10.48550/arxiv.2609.20681"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.20681","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.20681","pdf_url":"https://arxiv.org/pdf/2609.20681","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/2609.20681","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Qin, Jing","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I12323705","display_name":"The Abdus Salam International Centre for Theoretical Physics (ICTP)","ror":"https://ror.org/009gyvm78","country_code":"IT","type":"facility","lineage":["https://openalex.org/I12323705","https://openalex.org/I1286959531","https://openalex.org/I1293226324","https://openalex.org/I2801247003"]},{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["IT","JP"],"is_corresponding":false,"raw_author_name":"Qin, Jing","raw_affiliation_strings":["Department of Physics , Tohoku University , 980-8578 Sendai , Japan","ICTP -The Abdus Salam International Centre for Theoretical Physics , 34151 Trieste , Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Tohoku University , 980-8578 Sendai , Japan","institution_ids":["https://openalex.org/I201537933"]},{"raw_affiliation_string":"ICTP -The Abdus Salam International Centre for Theoretical Physics , 34151 Trieste , Italy","institution_ids":["https://openalex.org/I12323705"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009088296","display_name":"Nariya Uchida","orcid":"https://orcid.org/0000-0001-6376-8197","observed_orcids":["https://orcid.org/0000-0001-6376-8197"]},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Uchida, Nariya","raw_affiliation_strings":["Department of Physics , Tohoku University , 980-8578 Sendai , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , Tohoku University , 980-8578 Sendai , Japan","institution_ids":["https://openalex.org/I201537933"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088697177","display_name":"\u00c9dgar Rold\u00e1n","orcid":"https://orcid.org/0000-0001-7196-8404","observed_orcids":["https://orcid.org/0000-0001-7196-8404"]},"institutions":[{"id":"https://openalex.org/I12323705","display_name":"The Abdus Salam International Centre for Theoretical Physics (ICTP)","ror":"https://ror.org/009gyvm78","country_code":"IT","type":"facility","lineage":["https://openalex.org/I12323705","https://openalex.org/I1286959531","https://openalex.org/I1293226324","https://openalex.org/I2801247003"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Rold\u00e1n, \u00c9dgar","raw_affiliation_strings":["ICTP -The Abdus Salam International Centre for Theoretical Physics , 34151 Trieste , Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICTP -The Abdus Salam International Centre for Theoretical Physics , 34151 Trieste , Italy","institution_ids":["https://openalex.org/I12323705"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"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":9.999999747378752e-05,"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/T12261","display_name":"Statistical Mechanics and Entropy","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"}}],"keywords":[{"id":"https://openalex.org/keywords/martingale-theory","display_name":"martingale theory","score":0.8709999918937683},{"id":"https://openalex.org/keywords/heat-dissipation","display_name":"heat dissipation","score":0.9559999704360962},{"id":"https://openalex.org/keywords/overdamped-langevin-dynamics","display_name":"overdamped Langevin dynamics","score":0.9340000152587891},{"id":"https://openalex.org/keywords/nonequilibrium-processes","display_name":"nonequilibrium processes","score":0.6510000228881836},{"id":"https://openalex.org/keywords/stochastic-energetics","display_name":"stochastic energetics","score":0.8349999785423279},{"id":"https://openalex.org/keywords/phase-space-contraction","display_name":"phase space contraction","score":0.8309999704360962},{"id":"https://openalex.org/keywords/first-passage-time","display_name":"first passage time","score":0.746999979019165},{"id":"https://openalex.org/keywords/double-layer-forces","display_name":"double-layer forces","score":0.6840000152587891},{"id":"https://openalex.org/keywords/hydrodynamic-interactions","display_name":"hydrodynamic interactions","score":0.6499999761581421},{"id":"https://openalex.org/keywords/thermal-fluctuations","display_name":"thermal fluctuations","score":0.5289999842643738},{"id":"https://openalex.org/keywords/nonequilibrium-statistical-mechanics","display_name":"nonequilibrium statistical mechanics","score":0.460999995470047}],"concepts":[{"id":"https://openalex.org/C48406656","wikidata":"https://www.wikidata.org/wiki/Q534112","display_name":"Martingale (probability theory)","level":2,"score":0.762499988079071},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.666100025177002},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.520799994468689},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.5055999755859375},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4878999888896942},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3804999887943268},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.34279999136924744},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.3427000045776367},{"id":"https://openalex.org/C2777577648","wikidata":"https://www.wikidata.org/wiki/Q584537","display_name":"Langevin equation","level":2,"score":0.3327000141143799},{"id":"https://openalex.org/C179003449","wikidata":"https://www.wikidata.org/wiki/Q1757458","display_name":"Particle system","level":2,"score":0.33250001072883606},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3248000144958496},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3188000023365021},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.3138999938964844},{"id":"https://openalex.org/C122203268","wikidata":"https://www.wikidata.org/wiki/Q5862903","display_name":"Probability theory","level":2,"score":0.3091999888420105},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.30550000071525574},{"id":"https://openalex.org/C75438885","wikidata":"https://www.wikidata.org/wiki/Q3403615","display_name":"Large deviations theory","level":2,"score":0.27489998936653137},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.26910001039505005},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.2685000002384186},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.2614000141620636},{"id":"https://openalex.org/C2780004032","wikidata":"https://www.wikidata.org/wiki/Q6485978","display_name":"Langevin dynamics","level":2,"score":0.2535000145435333}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.20681","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.20681","pdf_url":"https://arxiv.org/pdf/2609.20681","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.2609.20681","doi":"https://doi.org/10.48550/arxiv.2609.20681","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.20681","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-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.20681","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.20681","pdf_url":"https://arxiv.org/pdf/2609.20681","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":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7213604227.pdf","grobid_xml":"https://content.openalex.org/works/W7213604227.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W7171765161"],"related_works":["https://openalex.org/W2895846995","https://openalex.org/W6903555027","https://openalex.org/W30649134","https://openalex.org/W2982354840","https://openalex.org/W3132345588","https://openalex.org/W1497618306","https://openalex.org/W2996686538","https://openalex.org/W4416313465","https://openalex.org/W4415086760","https://openalex.org/W2604454667"],"abstract_inverted_index":{"We":[0,27],"investigate":[1],"martingale":[2,39],"properties":[3,48,96,143],"of":[4,76,97,131,148],"heat":[5,34,67,99,140],"dissipated":[6,100],"by":[7,101,123,134],"generic":[8],"non-equilibrium":[9,149],"overdamped":[10],"Langevin":[11,50],"dynamics":[12,51],"with":[13,52,55,74,115],"multiple":[14],"dimensions":[15],"and":[16,44,109,112,144],"transport":[17],"coefficients":[18,54],"that":[19,31,33,75],"may":[20,36],"depend":[21],"explicitly":[22],"on":[23],"time":[24],"and/or":[25],"space.":[26],"find":[28],"quantitative":[29],"criteria":[30],"establish":[32],"dissipation":[35],"exhibit":[37],"transient":[38],"(time-conserved),":[40],"submartingale":[41],"(time":[42,46],"increasing),":[43],"supermartingale":[45],"decreasing)":[47],"in":[49,83],"drift":[53],"spatial":[56],"non-linear":[57,146],"dependencies.":[58],"Furthermore,":[59],"we":[60],"reveal":[61],"a":[62,77,102,116,136],"tight":[63],"link":[64],"between":[65,139],"the":[66,80,84,94,98,129,145],"statistics":[68],"at":[69],"stopping":[70],"(e.g.":[71],"first-passage)":[72],"times":[73],"functional":[78],"quantifying":[79],"phase-space":[81],"contraction":[82],"system":[85],"dynamics.":[86],"The":[87],"theoretical":[88],"results":[89,127],"are":[90],"used":[91],"to":[92,107],"predict":[93],"statistical":[95,142],"spherical":[103],"microscopic":[104],"particle":[105],"subject":[106],"gravity":[108],"double-layer":[110],"forces":[111],"hydrodynamically":[113],"interacting":[114],"rigid":[117],"wall,":[118],"whose":[119],"validity":[120],"is":[121],"confirmed":[122],"numerical":[124],"simulations.":[125],"These":[126],"extend":[128],"scope":[130],"stochastic":[132],"energetics":[133],"revealing":[135],"non-trivial":[137],"relation":[138],"fluctuations'":[141],"features":[147],"processes.":[150]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-19T00:00:00"}