{"id":"https://openalex.org/W7135235183","doi":"https://doi.org/10.1103/cthl-v65b","title":"Mpemba effect in many-body systems near equilibrium","display_name":"Mpemba effect in many-body systems near equilibrium","publication_year":2026,"publication_date":"2026-07-24","ids":{"openalex":"https://openalex.org/W7135235183","doi":"https://doi.org/10.1103/cthl-v65b"},"language":"en","primary_location":{"id":"doi:10.1103/cthl-v65b","doi":"https://doi.org/10.1103/cthl-v65b","is_oa":false,"landing_page_url":"https://doi.org/10.1103/cthl-v65b","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2603.11707","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029459612","display_name":"Philippe Ben\u2010Abdallah","orcid":"https://orcid.org/0000-0002-1137-4492","observed_orcids":["https://orcid.org/0000-0002-1137-4492"]},"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/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210136114","display_name":"Laboratoire Charles Fabry","ror":"https://ror.org/046hjmc37","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I4210091746","https://openalex.org/I4210136114"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"P. Ben-Abdallah","raw_affiliation_strings":["CNRS","Laboratoire Charles Fabry","Universit\u00e9 Paris-Saclay"],"raw_orcid":"https://orcid.org/0000-0002-1137-4492","affiliations":[{"raw_affiliation_string":"CNRS","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Laboratoire Charles Fabry","institution_ids":["https://openalex.org/I4210136114"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay","institution_ids":["https://openalex.org/I277688954"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029459612"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I4210136114"],"apc_list":null,"apc_paid":null,"fwci":1.7001,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.83097746,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"114","issue":"7","first_page":"074306","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":0.9429000020027161,"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":0.9429000020027161,"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":0.02329999953508377,"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/T10474","display_name":"Material Dynamics and Properties","score":0.007699999958276749,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mpemba-effect","display_name":"Mpemba effect","score":1.0},{"id":"https://openalex.org/keywords/many-body-systems","display_name":"many-body systems","score":0.6859999895095825},{"id":"https://openalex.org/keywords/relaxation-dynamics","display_name":"relaxation dynamics","score":0.7120000123977661},{"id":"https://openalex.org/keywords/spectral-geometry","display_name":"spectral geometry","score":0.7580000162124634},{"id":"https://openalex.org/keywords/relaxation-operator","display_name":"relaxation operator","score":0.9649999737739563},{"id":"https://openalex.org/keywords/non-normal-operators","display_name":"non-normal operators","score":0.8809999823570251},{"id":"https://openalex.org/keywords/reciprocity-breaking","display_name":"reciprocity breaking","score":0.824999988079071},{"id":"https://openalex.org/keywords/anomalous-relaxation","display_name":"anomalous relaxation","score":0.7540000081062317},{"id":"https://openalex.org/keywords/linear-systems","display_name":"linear systems","score":0.42800000309944153}],"concepts":[{"id":"https://openalex.org/C169903001","wikidata":"https://www.wikidata.org/wiki/Q3264987","display_name":"Reciprocity (cultural anthropology)","level":2,"score":0.6802999973297119},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5672000050544739},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.5292999744415283},{"id":"https://openalex.org/C131157278","wikidata":"https://www.wikidata.org/wiki/Q51363","display_name":"Thermodynamic equilibrium","level":2,"score":0.4982999861240387},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4754999876022339},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4415000081062317},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4374000132083893},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42500001192092896},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.4101000130176544},{"id":"https://openalex.org/C95514000","wikidata":"https://www.wikidata.org/wiki/Q786897","display_name":"Autocatalytic reaction","level":2,"score":0.35269999504089355},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.33559998869895935},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.32589998841285706},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3176000118255615},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.29019999504089355},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2896000146865845},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.28290000557899475},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.2825999855995178},{"id":"https://openalex.org/C29310469","wikidata":"https://www.wikidata.org/wiki/Q3175122","display_name":"Thermal equilibrium","level":2,"score":0.27230000495910645},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25619998574256897},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.25209999084472656}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/cthl-v65b","doi":"https://doi.org/10.1103/cthl-v65b","is_oa":false,"landing_page_url":"https://doi.org/10.1103/cthl-v65b","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2603.11707","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2603.11707","pdf_url":"https://arxiv.org/pdf/2603.11707","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-05760327v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-05760327","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Physical Review B, 2026, 114 (7), pp.074306. ⟨10.1103/cthl-v65b⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2603.11707","doi":"https://doi.org/10.48550/arxiv.2603.11707","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.11707","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:2603.11707","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2603.11707","pdf_url":"https://arxiv.org/pdf/2603.11707","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":"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/W7135235183.pdf","grobid_xml":"https://content.openalex.org/works/W7135235183.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W149522324","https://openalex.org/W1552732685","https://openalex.org/W2052809545","https://openalex.org/W2130411680","https://openalex.org/W2522533512","https://openalex.org/W2582831436","https://openalex.org/W2771034633","https://openalex.org/W2957447291","https://openalex.org/W3034071862","https://openalex.org/W3041366775","https://openalex.org/W3047561686","https://openalex.org/W3128281283","https://openalex.org/W4244591360","https://openalex.org/W4411978420"],"related_works":["https://openalex.org/W7222307321","https://openalex.org/W4417105962","https://openalex.org/W2963255112","https://openalex.org/W6891834587","https://openalex.org/W2771034633","https://openalex.org/W6906711049","https://openalex.org/W4284968196","https://openalex.org/W4312359065","https://openalex.org/W4414540304","https://openalex.org/W3024912178"],"abstract_inverted_index":{"The":[0],"Mpemba":[1,37,57,72],"effect,":[2,58,73],"in":[3,20,39,74,82,124],"which":[4,75],"a":[5,14,21,32,55,61,69],"system":[6],"initially":[7,77],"farther":[8],"from":[9,68],"equilibrium":[10,43],"relaxes":[11,88],"faster":[12],"than":[13],"closer":[15],"one,":[16],"has":[17],"been":[18],"observed":[19],"wide":[22],"variety":[23],"of":[24,49,63,85],"linear":[25,125],"and":[26,107,116],"nonlinear":[27],"systems.":[28,127],"Here":[29],"we":[30],"develop":[31],"unified":[33],"framework":[34],"for":[35],"the":[36,46,50,76,97,103,110],"effect":[38],"many-body":[40,126],"systems":[41,94],"near":[42],"based":[44],"on":[45],"spectral":[47],"geometry":[48],"relaxation":[51,104,123],"operator.":[52],"We":[53,90],"distinguish":[54],"non-uniform":[56],"associated":[59],"with":[60],"crossing":[62],"global":[64],"distances":[65],"to":[66],"equilibrium,":[67],"strict":[70],"componentwise":[71],"hotter":[78],"state":[79],"remains":[80],"larger":[81],"every":[83],"degree":[84],"freedom":[86],"yet":[87],"faster.":[89],"show":[91],"that":[92],"reciprocal":[93],"admit":[95],"only":[96],"former,":[98],"whereas":[99],"reciprocity":[100,115],"breaking":[101],"renders":[102],"operator":[105],"non-normal":[106],"can":[108],"enable":[109],"latter.":[111],"These":[112],"results":[113],"identify":[114],"non-normality":[117],"as":[118],"key":[119],"ingredients":[120],"governing":[121],"anomalous":[122]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-03-14T00:00:00"}