{"id":"https://openalex.org/W7222983169","doi":"https://doi.org/10.48550/arxiv.2610.23017","title":"Diffusion-controlled reactions with time-dependent surface reactivity","display_name":"Diffusion-controlled reactions with time-dependent surface reactivity","publication_year":2026,"publication_date":"2026-10-16","ids":{"openalex":"https://openalex.org/W7222983169","doi":"https://doi.org/10.48550/arxiv.2610.23017"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.23017","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.23017","pdf_url":"https://arxiv.org/pdf/2610.23017","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/2610.23017","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077899527","display_name":"Denis S. Grebenkov","orcid":"https://orcid.org/0000-0002-6273-9164","observed_orcids":["https://orcid.org/0000-0002-6273-9164"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4405259243","display_name":"Laboratoire de Physique de la Mati\u00e8re Condens\u00e9e","ror":"https://ror.org/01z5d0q66","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210128300","https://openalex.org/I4210145102","https://openalex.org/I4405259243"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Grebenkov, Denis S.","raw_affiliation_strings":["Laboratoire de Physique de la Mati\u00e8re Condens\u00e9e , CNRS -Ecole Polytechnique , Institut Polytechnique de Paris , 91120 Palaiseau , France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique de la Mati\u00e8re Condens\u00e9e , CNRS -Ecole Polytechnique , Institut Polytechnique de Paris , 91120 Palaiseau , France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210145102","https://openalex.org/I4405259243"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103252271","display_name":"Yilin Ye","orcid":"https://orcid.org/0009-0003-7806-598X","observed_orcids":["https://orcid.org/0009-0003-7806-598X"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4405259243","display_name":"Laboratoire de Physique de la Mati\u00e8re Condens\u00e9e","ror":"https://ror.org/01z5d0q66","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210128300","https://openalex.org/I4210145102","https://openalex.org/I4405259243"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ye, Yilin","raw_affiliation_strings":["Laboratoire de Physique de la Mati\u00e8re Condens\u00e9e , CNRS -Ecole Polytechnique , Institut Polytechnique de Paris , 91120 Palaiseau , France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique de la Mati\u00e8re Condens\u00e9e , CNRS -Ecole Polytechnique , Institut Polytechnique de Paris , 91120 Palaiseau , France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210145102","https://openalex.org/I4405259243"]}]}],"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/T13187","display_name":"Diffusion and Search Dynamics","score":0.7954000234603882,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.7954000234603882,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.1193000003695488,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.0284000001847744,"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/diffusion-limited-reactions","display_name":"diffusion-controlled reaction","score":0.9929999709129333},{"id":"https://openalex.org/keywords/survival-probability","display_name":"survival probability","score":0.9259999990463257},{"id":"https://openalex.org/keywords/reactive-surfaces","display_name":"reactive surfaces","score":0.5529999732971191},{"id":"https://openalex.org/keywords/robin-boundary-conditions","display_name":"Robin boundary conditions","score":0.8709999918937683},{"id":"https://openalex.org/keywords/adiabatic-approximation","display_name":"adiabatic approximation","score":0.843999981880188},{"id":"https://openalex.org/keywords/stretched-exponential-decay","display_name":"stretched exponential decay","score":0.8180000185966492},{"id":"https://openalex.org/keywords/power-law-decay","display_name":"power-law decay","score":0.972000002861023}],"concepts":[{"id":"https://openalex.org/C2776910235","wikidata":"https://www.wikidata.org/wiki/Q18574","display_name":"Reactivity (psychology)","level":3,"score":0.6814000010490417},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.6342999935150146},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5494999885559082},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5422999858856201},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.49300000071525574},{"id":"https://openalex.org/C109663097","wikidata":"https://www.wikidata.org/wiki/Q182453","display_name":"Adiabatic process","level":2,"score":0.46470001339912415},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.4551999866962433},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.4512999951839447},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4408999979496002},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4372999966144562},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.40790000557899475},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.40540000796318054},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3799000084400177},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.33880001306533813},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.33820000290870667},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.33219999074935913},{"id":"https://openalex.org/C45786274","wikidata":"https://www.wikidata.org/wiki/Q3333611","display_name":"Kinetic Monte Carlo","level":3,"score":0.33169999718666077},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3246999979019165},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.31279999017715454},{"id":"https://openalex.org/C2777317252","wikidata":"https://www.wikidata.org/wiki/Q18393516","display_name":"Rare events","level":2,"score":0.30239999294281006},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.2953000068664551},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.2913999855518341},{"id":"https://openalex.org/C164602753","wikidata":"https://www.wikidata.org/wiki/Q567544","display_name":"Anomalous diffusion","level":3,"score":0.2872999906539917},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.2808000147342682},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.27900001406669617},{"id":"https://openalex.org/C122203268","wikidata":"https://www.wikidata.org/wiki/Q5862903","display_name":"Probability theory","level":2,"score":0.2694999873638153},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.26899999380111694},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.25999999046325684},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.25200000405311584}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.23017","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.23017","pdf_url":"https://arxiv.org/pdf/2610.23017","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.2610.23017","doi":"https://doi.org/10.48550/arxiv.2610.23017","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.23017","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:2610.23017","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.23017","pdf_url":"https://arxiv.org/pdf/2610.23017","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7222983169.pdf","grobid_xml":"https://content.openalex.org/works/W7222983169.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W7154222830"],"related_works":["https://openalex.org/W4280518741","https://openalex.org/W3044919012","https://openalex.org/W2057771162","https://openalex.org/W4221113674","https://openalex.org/W2061491595","https://openalex.org/W2042619136","https://openalex.org/W4365450525","https://openalex.org/W2965570999","https://openalex.org/W4294789967","https://openalex.org/W7131105194"],"abstract_inverted_index":{"We":[0],"investigate":[1],"diffusion-controlled":[2],"reactions":[3],"on":[4,52],"a":[5,13,49,89,98,104,114],"reactive":[6,54],"surface":[7],"with":[8,19,113],"time-dependent":[9],"reactivity.":[10,119],"Starting":[11],"from":[12,72],"conventional":[14],"formulation":[15],"via":[16,125],"diffusion":[17,96],"equation":[18],"Robin":[20],"boundary":[21],"condition":[22],"for":[23],"the":[24,39,43,53,67,85],"macroscopic":[25],"concentration":[26],"of":[27,36,48,66,84,92,107,117],"particles,":[28],"we":[29,60,102],"aim":[30],"at":[31],"quantifying":[32],"how":[33],"temporal":[34],"variations":[35],"reactivity":[37,86],"affect":[38],"survival":[40],"probability":[41,91],"and":[42,74,110],"associated":[44],"first-reaction":[45,68],"time":[46,69],"(FRT)":[47],"single":[50],"particle":[51],"surface.":[55],"Using":[56],"an":[57],"adiabatic":[58],"description,":[59],"first":[61],"identify":[62],"five":[63],"long-time":[64],"regimes":[65],"distribution,":[70],"ranging":[71],"exponential":[73],"stretched-exponential":[75],"to":[76,88],"power-law":[77],"decay.":[78],"In":[79],"particular,":[80],"sufficiently":[81],"rapid":[82],"decay":[83],"leads":[87],"nonzero":[90],"never":[93],"reacting,":[94],"despite":[95],"in":[97],"bounded":[99],"domain.":[100],"Second,":[101],"provide":[103],"probabilistic":[105],"reformulation":[106],"this":[108],"problem":[109],"compare":[111],"it":[112],"different":[115],"scenario":[116],"encounter-dependent":[118],"Our":[120],"theoretical":[121],"predictions":[122],"are":[123],"validated":[124],"extensive":[126],"Monte":[127],"Carlo":[128],"simulations.":[129]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-20T00:00:00"}