{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,29]],"date-time":"2026-09-29T22:00:57Z","timestamp":1790719257666,"version":"4.1.0"},"reference-count":49,"publisher":"American Physical Society (APS)","issue":"2","license":[{"start":{"date-parts":[[2025,8,4]],"date-time":"2025-08-04T00:00:00Z","timestamp":1754265600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/link.aps.org\/licenses\/aps-default-license"}],"funder":[{"DOI":"10.13039\/501100001502","name":"Department of Atomic Energy, Government of India","doi-asserted-by":"publisher","award":["RTI 4002"],"award-info":[{"award-number":["RTI 4002"]}],"id":[{"id":"10.13039\/501100001502","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100017167","name":"International Centre for Theoretical Sciences","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100017167","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. E"],"accepted":{"date-parts":[[2025,6,11]]},"DOI":"10.1103\/nhkq-sb63","type":"journal-article","created":{"date-parts":[[2025,6,11]],"date-time":"2025-06-11T19:27:54Z","timestamp":1749670074000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Canonical equilibrium of mean-field\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:mrow>\n                        <mml:mi mathvariant=\"normal\">O<\/mml:mi>\n                        <mml:mo>(<\/mml:mo>\n                        <mml:mi>n<\/mml:mi>\n                        <mml:mo>)<\/mml:mo>\n                      <\/mml:mrow>\n                    <\/mml:math>\n                    models in the presence of random fields"],"prefix":"10.1103","volume":"112","author":[{"ORCID":"https:\/\/orcid.org\/0009-0008-7226-356X","authenticated-orcid":true,"given":"Soumya Kanti","family":"Pal","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/03ht1xw27","id-type":"ROR","asserted-by":"publisher"}],"name":"Tata Institute of Fundamental Research"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6080-4890","authenticated-orcid":true,"given":"Shamik","family":"Gupta","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/03ht1xw27","id-type":"ROR","asserted-by":"publisher"}],"name":"Tata Institute of Fundamental Research"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2025,8,4]]},"reference":[{"key":"nhkq-sb63Cc1R1","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4608\/5\/5\/017","type":"journal-article"},{"key":"nhkq-sb63Cc2R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.35.1792","type":"journal-article"},{"key":"nhkq-sb63Cc3R1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.58.801","type":"journal-article"},{"key":"nhkq-sb63Cc4R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.43.1754","type":"journal-article"},{"key":"nhkq-sb63Cc5R1","doi-asserted-by":"publisher","DOI":"10.1080\/01418639508238541","type":"journal-article"},{"key":"nhkq-sb63Cc6R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.23.17","type":"journal-article"},{"key":"nhkq-sb63Cc7R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.61.223","type":"journal-article"},{"key":"nhkq-sb63Cc8R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.54.1321","type":"journal-article"},{"key":"nhkq-sb63Cc9R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.77.3700","type":"journal-article"},{"key":"nhkq-sb63Cc10R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.52.3469","type":"journal-article"},{"key":"nhkq-sb63Cc11R1","doi-asserted-by":"publisher","DOI":"10.1590\/S0103-97332000000100009","type":"journal-article"},{"key":"nhkq-sb63Cc12R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.78.3039","type":"journal-article"},{"key":"nhkq-sb63Cc13R1","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/29\/17\/013","type":"journal-article"},{"key":"nhkq-sb63Cc14R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.70.016108","type":"journal-article"},{"key":"nhkq-sb63Cc15R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.35.1399","type":"journal-article"},{"key":"nhkq-sb63Cc16R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.43.744","type":"journal-article"},{"key":"nhkq-sb63Cc17R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.110.227201","type":"journal-article"},{"key":"nhkq-sb63Cc18R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.122.240603","type":"journal-article"},{"key":"nhkq-sb63Cc19R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.108.044146","type":"journal-article"},{"key":"nhkq-sb63Cc20R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.18.3318","type":"journal-article"},{"key":"nhkq-sb63Cc21R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.105.024111","type":"journal-article"},{"key":"nhkq-sb63Cc22R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.110.014141","type":"journal-article"},{"key":"nhkq-sb63Cc23R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/ac4b8b","type":"journal-article"},{"key":"nhkq-sb63Cc24R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/ab2287","type":"journal-article"},{"key":"nhkq-sb63Cc25R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.110.184205","type":"journal-article"},{"key":"nhkq-sb63Cc26R1","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0313863","type":"journal-article"},{"key":"nhkq-sb63Cc27R1","doi-asserted-by":"publisher","DOI":"10.7566\/JPSJ.90.044003","type":"journal-article"},{"key":"nhkq-sb63Cc28R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.25.6899","type":"journal-article"},{"key":"nhkq-sb63Cc29R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.74.606","type":"journal-article"},{"key":"nhkq-sb63Cc30R1","doi-asserted-by":"publisher","DOI":"10.7566\/JPSJ.83.074002","type":"journal-article"},{"key":"nhkq-sb63Cc31R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.84.031128","type":"journal-article"},{"key":"nhkq-sb63Cc32R1","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511524592","type":"book","volume-title":"Introduction to the Replica Theory of Disordered Statistical Systems","author":"V. Dotsenko","year":"2000"},{"key":"nhkq-sb63Cc33R1","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/2005\/05\/P05012","type":"journal-article"},{"key":"nhkq-sb63Cc34R1","doi-asserted-by":"crossref","DOI":"10.1007\/978-93-86279-51-4","type":"book","volume-title":"Introduction to the Physics of Disordered Systems","author":"G.\u00a0I. Menon","year":"2012"},{"key":"nhkq-sb63Cc35R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.15.1519","type":"journal-article"},{"key":"nhkq-sb63Cc36R1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.95.030501","type":"journal-article"},{"key":"nhkq-sb63Cc37R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2023.129207","type":"journal-article"},{"key":"nhkq-sb63Cc38R1","doi-asserted-by":"publisher","DOI":"10.1023\/A:1022915830921","type":"journal-article"},{"key":"nhkq-sb63Cc39R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.81.22","type":"journal-article"},{"key":"nhkq-sb63Cc40R1","doi-asserted-by":"publisher","DOI":"10.1038\/nature03038","type":"journal-article"},{"key":"nhkq-sb63Cc41R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.95.264101","type":"journal-article"},{"key":"nhkq-sb63Cc42R1","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/2010\/06\/P06015","type":"journal-article"},{"key":"nhkq-sb63Cc43R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.113.203002","type":"journal-article"},{"key":"nhkq-sb63Cc44R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.94.023807","type":"journal-article"},{"key":"nhkq-sb63Cc45R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.117.083001","type":"journal-article"},{"key":"nhkq-sb63Cc46R1","doi-asserted-by":"crossref","DOI":"10.1093\/acprof:oso\/9780199581931.001.0001","type":"book","volume-title":"Physics of Long-range Interacting Systems","author":"A. Campa","year":"2014"},{"key":"nhkq-sb63Cc47R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.108.014116","type":"journal-article"},{"key":"nhkq-sb63Cc48R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.1703954","type":"journal-article"},{"key":"nhkq-sb63Cc49R1","doi-asserted-by":"publisher","DOI":"10.1088\/0034-4885\/29\/1\/306","type":"journal-article"}],"container-title":["Physical Review E"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.aps.org\/article\/10.1103\/nhkq-sb63","content-type":"unspecified","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/harvest.aps.org\/v2\/journals\/articles\/10.1103\/nhkq-sb63\/fulltext","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,9,29]],"date-time":"2026-09-29T21:11:50Z","timestamp":1790716310000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.aps.org\/doi\/10.1103\/nhkq-sb63"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,8,4]]},"references-count":49,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2025,8]]}},"URL":"https:\/\/doi.org\/10.1103\/nhkq-sb63","relation":{},"ISSN":["2470-0045","2470-0053"],"issn-type":[{"value":"2470-0045","type":"print"},{"value":"2470-0053","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,8,4]]},"assertion":[{"value":"2025-03-12","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"\u00a92025 American Physical Society. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2025","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"American Physical Society","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"024104"}}