{"id":"https://openalex.org/W2948746003","doi":"https://doi.org/10.1137/19m1287687","title":"Quantitative Propagation of Chaos in a Bimolecular Chemical Reaction-Diffusion Model","display_name":"Quantitative Propagation of Chaos in a Bimolecular Chemical Reaction-Diffusion Model","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2948746003","doi":"https://doi.org/10.1137/19m1287687","mag":"2948746003"},"language":"en","primary_location":{"id":"doi:10.1137/19m1287687","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1287687","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1906.01051","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000374567","display_name":"Tau Shean Lim","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Tau Shean Lim","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080770658","display_name":"Yulong Lu","orcid":"https://orcid.org/0000-0003-2914-414X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yulong Lu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5012884872","display_name":"James Nolen","orcid":"https://orcid.org/0000-0003-4630-2293"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"James H. Nolen","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5000374567"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2665,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.49526066,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"52","issue":"2","first_page":"2098","last_page":"2133"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9991000294685364,"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":0.9991000294685364,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9965000152587891,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5504820346832275},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.5113291144371033},{"id":"https://openalex.org/keywords/rate-function","display_name":"Rate function","score":0.4915712773799896},{"id":"https://openalex.org/keywords/chemical-reaction","display_name":"Chemical reaction","score":0.4824874699115753},{"id":"https://openalex.org/keywords/martingale","display_name":"Martingale (probability theory)","score":0.47592905163764954},{"id":"https://openalex.org/keywords/large-deviations-theory","display_name":"Large deviations theory","score":0.42508214712142944},{"id":"https://openalex.org/keywords/particle-system","display_name":"Particle system","score":0.41866835951805115},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39200472831726074},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36458534002304077},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.307779461145401},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.2643603980541229},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.1873997449874878}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5504820346832275},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.5113291144371033},{"id":"https://openalex.org/C15964574","wikidata":"https://www.wikidata.org/wiki/Q7295534","display_name":"Rate function","level":3,"score":0.4915712773799896},{"id":"https://openalex.org/C177801218","wikidata":"https://www.wikidata.org/wiki/Q36534","display_name":"Chemical reaction","level":2,"score":0.4824874699115753},{"id":"https://openalex.org/C48406656","wikidata":"https://www.wikidata.org/wiki/Q534112","display_name":"Martingale (probability theory)","level":2,"score":0.47592905163764954},{"id":"https://openalex.org/C75438885","wikidata":"https://www.wikidata.org/wiki/Q3403615","display_name":"Large deviations theory","level":2,"score":0.42508214712142944},{"id":"https://openalex.org/C179003449","wikidata":"https://www.wikidata.org/wiki/Q1757458","display_name":"Particle system","level":2,"score":0.41866835951805115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39200472831726074},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36458534002304077},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.307779461145401},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.2643603980541229},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.1873997449874878},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/19m1287687","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1287687","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1906.01051","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.01051","pdf_url":"https://arxiv.org/pdf/1906.01051","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"mag:2948746003","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1906.01051","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1906.01051","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1906.01051","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1906.01051","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.01051","pdf_url":"https://arxiv.org/pdf/1906.01051","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6965837496","display_name":null,"funder_award_id":"DMS-1351653","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W22526216","https://openalex.org/W245337057","https://openalex.org/W1527296550","https://openalex.org/W1569313452","https://openalex.org/W1583323312","https://openalex.org/W1833174700","https://openalex.org/W1972135839","https://openalex.org/W1975543975","https://openalex.org/W1985768560","https://openalex.org/W1988871168","https://openalex.org/W1997698024","https://openalex.org/W2002560910","https://openalex.org/W2027248166","https://openalex.org/W2027820689","https://openalex.org/W2036546758","https://openalex.org/W2065172718","https://openalex.org/W2075546355","https://openalex.org/W2084184588","https://openalex.org/W2093472040","https://openalex.org/W2369386221","https://openalex.org/W2486704773","https://openalex.org/W2610323627","https://openalex.org/W2729138981","https://openalex.org/W2761877961","https://openalex.org/W2903672110","https://openalex.org/W2962784037","https://openalex.org/W2963093896","https://openalex.org/W2963689717","https://openalex.org/W3098017411","https://openalex.org/W3098358723","https://openalex.org/W3203184959","https://openalex.org/W4248924659"],"related_works":["https://openalex.org/W2034426045","https://openalex.org/W2897085754","https://openalex.org/W2079392076","https://openalex.org/W2951249664","https://openalex.org/W3104081553","https://openalex.org/W1987671163","https://openalex.org/W3099338189","https://openalex.org/W3045257991","https://openalex.org/W2142026042","https://openalex.org/W3098497703","https://openalex.org/W2004473335","https://openalex.org/W3139223806","https://openalex.org/W1849154782","https://openalex.org/W3011027106","https://openalex.org/W2894639880","https://openalex.org/W3100466750","https://openalex.org/W2461986802","https://openalex.org/W2991255982","https://openalex.org/W2792451385","https://openalex.org/W2017778866"],"abstract_inverted_index":{"We":[0,67,153],"study":[1],"a":[2,36,56,63,78,86,96,137,142,155,161],"stochastic":[3,75],"system":[4,76],"of":[5,43,58,99,131],"$N$":[6],"interacting":[7,104],"particles":[8,54],"which":[9,82,146],"models":[10],"bimolecular":[11],"chemical":[12,59,64],"reaction-diffusion.":[13],"In":[14,92],"this":[15],"model,":[16],"each":[17],"particle":[18,105],"$i$":[19],"carries":[20],"two":[21],"attributes:":[22],"the":[23,29,41,44,74,103,112,132],"spatial":[24],"location":[25],"$X_t^i\\in":[26],"\\mathbb{T}^d$,":[27],"and":[28,120],"type":[30,45],"$\\Xi_t^i\\in":[31],"\\{1,\\ldots,n\\}$.":[32],"While":[33],"$X_t^i$":[34],"is":[35,47,83,109,136],"standard":[37],"(independent)":[38],"diffusion":[39],"process,":[40],"evolution":[42],"$\\Xi_t^i$":[46],"described":[48,61,84],"by":[49,62,85,118,150],"pairwise":[50],"interactions":[51],"between":[52],"different":[53],"under":[55],"series":[57],"reactions":[60],"reaction":[65],"network.":[66],"prove":[68],"that,":[69],"as":[70],"$N":[71],"\\to":[72],"\\infty$,":[73],"has":[77],"mean":[79],"field":[80],"limit":[81],"nonlocal":[87],"reaction-diffusion":[88],"partial":[89],"differential":[90],"equation.":[91],"particular,":[93],"we":[94],"obtain":[95],"quantitative":[97],"propagation":[98],"chaos":[100],"result":[101],"for":[102,141],"system.":[106],"Our":[107],"proof":[108,158],"based":[110,159],"on":[111,160],"relative":[113,133],"entropy":[114,134],"method":[115,135],"used":[116],"recently":[117],"Jabin":[119],"Wang":[121],"[Invent.":[122],"Math.,":[123],"214":[124],"(2018),":[125],"pp.":[126],"523--591].":[127],"The":[128],"key":[129],"ingredient":[130],"large":[138],"deviation":[139],"estimate":[140],"special":[143],"partition":[144],"function,":[145],"was":[147],"proved":[148],"previously":[149],"combinatorial":[151],"estimates.":[152],"give":[154],"simple":[156],"probabilistic":[157],"novel":[162],"martingale":[163],"argument.":[164]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
