{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,20]],"date-time":"2025-10-20T18:50:54Z","timestamp":1760986254090,"version":"build-2065373602"},"reference-count":39,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2024,2,29]],"date-time":"2024-02-29T00:00:00Z","timestamp":1709164800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Universit\u00e9 franco-allemande"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this note, we revisit the scaling relations among \u201chatted critical exponents\u201d, which were first derived by Ralph Kenna, Des Johnston, and Wolfhard Janke, and we propose an alternative derivation for some of them. For the scaling relation involving the behavior of the correlation function, we will propose an alternative form since we believe that the expression is erroneous in the work of Ralph and his collaborators.<\/jats:p>","DOI":"10.3390\/e26030221","type":"journal-article","created":{"date-parts":[[2024,3,1]],"date-time":"2024-03-01T03:31:23Z","timestamp":1709263883000},"page":"221","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Ralph Kenna\u2019s Scaling Relations in Critical Phenomena"],"prefix":"10.3390","volume":"26","author":[{"given":"Le\u00efla","family":"Moueddene","sequence":"first","affiliation":[{"name":"Laboratoire de Physique et Chimie Th\u00e9oriques, CNRS\u2014Universit\u00e9 de Lorraine, 54000 Nancy, France"},{"name":"L4 Collaboration, Leipzig-Lorraine-Lviv-Coventry, Europe"},{"name":"Centre for Fluid and Complex Systems, Coventry University, Coventry CV1 5FB, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Arnaldo","family":"Donoso","sequence":"additional","affiliation":[{"name":"Department of Experimental Physics, Maynooth University, R51 A021 Maynooth, Co. Kildare, Ireland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4254-807X","authenticated-orcid":false,"given":"Bertrand","family":"Berche","sequence":"additional","affiliation":[{"name":"Laboratoire de Physique et Chimie Th\u00e9oriques, CNRS\u2014Universit\u00e9 de Lorraine, 54000 Nancy, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,2,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Kardar, M. (2007). Statistical Physics of Fields, Cambridge University Press.","DOI":"10.1017\/CBO9780511815881"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Kenna, R. (2012). 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