{"id":"https://openalex.org/W7078600085","doi":null,"title":"Kullback-Leibler Potential for Non-Ergodic Replication Dynamics:An Information-Theoretic Second Law","display_name":"Kullback-Leibler Potential for Non-Ergodic Replication Dynamics:An Information-Theoretic Second Law","publication_year":2025,"publication_date":"2025-08-27","ids":{"openalex":"https://openalex.org/W7078600085"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2508.19894","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2508.19894","pdf_url":"https://arxiv.org/pdf/2508.19894","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","indexed_in":["arxiv"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2508.19894","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072214554","display_name":"Tatsuaki Tsuruyama","orcid":"https://orcid.org/0000-0002-3118-2826","observed_orcids":["https://orcid.org/0000-0002-3118-2826"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Tsuruyama, Tatsuaki","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5072214554"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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":true,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9994999766349792,"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":0.9994999766349792,"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/T14299","display_name":"Complex Systems and Dynamics","score":0.0003000000142492354,"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/T12162","display_name":"Cellular Automata and Applications","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kullback-leibler-divergence","display_name":"Kullback-Leibler divergence","score":0.9279999732971191},{"id":"https://openalex.org/keywords/information-thermodynamics","display_name":"information thermodynamics","score":0.8600000143051147},{"id":"https://openalex.org/keywords/data-replication","display_name":"data replication","score":0.7229999899864197},{"id":"https://openalex.org/keywords/second-law-of-thermodynamics","display_name":"second law of thermodynamics","score":0.8199999928474426},{"id":"https://openalex.org/keywords/information-degradation","display_name":"information degradation","score":0.7760000228881836},{"id":"https://openalex.org/keywords/non-ergodic-dynamics","display_name":"non-ergodic dynamics","score":0.7170000076293945},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.7919999957084656},{"id":"https://openalex.org/keywords/shannon-entropy","display_name":"Shannon entropy","score":0.8009999990463257},{"id":"https://openalex.org/keywords/cross-entropy","display_name":"cross-entropy","score":0.9049999713897705},{"id":"https://openalex.org/keywords/free-energy","display_name":"free energy","score":0.9679999947547913},{"id":"https://openalex.org/keywords/dna-replication","display_name":"DNA replication","score":0.9259999990463257},{"id":"https://openalex.org/keywords/irreversibility","display_name":"irreversibility","score":0.699999988079071}],"concepts":[{"id":"https://openalex.org/C12590798","wikidata":"https://www.wikidata.org/wiki/Q3933199","display_name":"Replication (statistics)","level":2,"score":0.5956000089645386},{"id":"https://openalex.org/C74859849","wikidata":"https://www.wikidata.org/wiki/Q2466686","display_name":"Non-equilibrium thermodynamics","level":2,"score":0.5849999785423279},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5807999968528748},{"id":"https://openalex.org/C119820323","wikidata":"https://www.wikidata.org/wiki/Q177045","display_name":"Second law of thermodynamics","level":2,"score":0.5710999965667725},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.536300003528595},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.5164999961853027},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4943999946117401},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.44999998807907104},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4336000084877014},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.40700000524520874},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.4007999897003174},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.35569998621940613},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.34540000557899475},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.335999995470047},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3310999870300293},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.33090001344680786},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.328000009059906},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3192000091075897},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.3165000081062317},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31540000438690186},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31529998779296875},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.30880001187324524},{"id":"https://openalex.org/C14828074","wikidata":"https://www.wikidata.org/wiki/Q186559","display_name":"Arrow of time","level":3,"score":0.301800012588501},{"id":"https://openalex.org/C180198813","wikidata":"https://www.wikidata.org/wiki/Q121182","display_name":"Information system","level":2,"score":0.2759999930858612},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.27549999952316284},{"id":"https://openalex.org/C38764148","wikidata":"https://www.wikidata.org/wiki/Q17098245","display_name":"Interaction information","level":2,"score":0.2703999876976013},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.26249998807907104},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.25929999351501465},{"id":"https://openalex.org/C87868495","wikidata":"https://www.wikidata.org/wiki/Q750843","display_name":"Information processing","level":2,"score":0.2574000060558319},{"id":"https://openalex.org/C18815010","wikidata":"https://www.wikidata.org/wiki/Q849392","display_name":"Laws of thermodynamics","level":3,"score":0.2565999925136566},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.25029999017715454}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:arXiv.org:2508.19894","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2508.19894","pdf_url":"https://arxiv.org/pdf/2508.19894","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2508.19894","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2508.19894","pdf_url":"https://arxiv.org/pdf/2508.19894","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":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0,191],"study":[1],"aims":[2],"to":[3,27,139,152,162,166,193],"quantify":[4,106],"and":[5,26,64,79,102,105,117,182,205],"visualize":[6],"the":[7,16,21,33,49,72,80,118,140,144,163,176],"degradation":[8,82,181],"of":[9,18,23,32,76,83,94,125,189,207],"fidelity":[10],"(information":[11],"degradation)":[12],"that":[13,175],"inevitably":[14],"accompanies":[15],"replication":[17,96,112],"information":[19,24,44,54,84,95,109,168],"within":[20],"framework":[22,161,198],"thermodynamics":[25,45],"propose":[28],"an":[29],"information-theoretic":[30],"formulation":[31],"second":[34],"law":[35],"based":[36],"on":[37,48],"this":[38,87,160],"phenomenon.":[39],"While":[40],"previous":[41],"research":[42],"in":[43,108,143,187],"has":[46,70],"focused":[47],"thermodynamic":[50],"costs":[51],"associated":[52],"with":[53],"\"erasure''":[55],"or":[56],"\"measurement''":[57],"through":[58],"concepts":[59],"such":[60,170,201],"as":[61,135,171,202],"Landauer's":[62],"principle":[63],"mutual":[65],"information,":[66],"little":[67],"systematic":[68],"discussion":[69],"addressed":[71],"inherently":[73],"irreversible":[74],"nature":[75],"\"replication''":[77],"itself":[78],"accompanying":[81],"structure.":[85],"In":[86],"study,":[88],"we":[89,158],"construct":[90],"a":[91,98,128,136,148,153,195],"mathematical":[92],"model":[93,101],"using":[97],"discrete":[99],"Markov":[100],"Gaussian":[103],"convolution,":[104],"changes":[107],"at":[110],"each":[111],"step:":[113],"Shannon":[114],"entropy,":[115],"cross-entropy,":[116],"Kullback--Leibler":[119],"divergence":[120],"(KLD).":[121],"The":[122],"monotonic":[123],"decrease":[124],"KLD":[126],"exhibits":[127],"Lyapunov-like":[129],"property,":[130],"which":[131,147],"can":[132,184],"be":[133,185],"interpreted":[134],"potential":[137,164],"analogous":[138],"free":[141,177],"energy":[142,178],"process":[145],"by":[146],"nonequilibrium":[149],"system":[150],"converges":[151],"particular":[154],"steady":[155],"state.":[156],"Furthermore,":[157],"extend":[159],"applicability":[165],"biological":[167],"processes":[169],"DNA":[172],"replication,":[173,203],"showing":[174],"required":[179],"for":[180,199],"repair":[183,206],"expressed":[186],"terms":[188],"KLD.":[190],"contributes":[192],"building":[194],"unified":[196],"information-thermodynamic":[197],"operations":[200],"transmission,":[204],"information.":[208]},"counts_by_year":[],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}
