Ralph Kenna’s Scaling Relations in Critical Phenomena
In this note, we revisit the scaling relations among “hatted critical exponents”, 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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-02-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/26/3/221 |
| _version_ | 1797241202778570752 |
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| author | Leïla Moueddene Arnaldo Donoso Bertrand Berche |
| author_facet | Leïla Moueddene Arnaldo Donoso Bertrand Berche |
| author_sort | Leïla Moueddene |
| collection | DOAJ |
| description | In this note, we revisit the scaling relations among “hatted critical exponents”, 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. |
| first_indexed | 2024-04-24T18:19:35Z |
| format | Article |
| id | doaj.art-d19535abad0a4d72a866c702ae938a87 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-24T18:19:35Z |
| publishDate | 2024-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-d19535abad0a4d72a866c702ae938a872024-03-27T13:36:53ZengMDPI AGEntropy1099-43002024-02-0126322110.3390/e26030221Ralph Kenna’s Scaling Relations in Critical PhenomenaLeïla Moueddene0Arnaldo Donoso1Bertrand Berche2Laboratoire de Physique et Chimie Théoriques, CNRS—Université de Lorraine, 54000 Nancy, FranceDepartment of Experimental Physics, Maynooth University, R51 A021 Maynooth, Co. Kildare, IrelandLaboratoire de Physique et Chimie Théoriques, CNRS—Université de Lorraine, 54000 Nancy, FranceIn this note, we revisit the scaling relations among “hatted critical exponents”, 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.https://www.mdpi.com/1099-4300/26/3/221critical exponentslogarithmic correctionsscaling and renormalizationscaling lawstricritical pointfinite-size scaling |
| spellingShingle | Leïla Moueddene Arnaldo Donoso Bertrand Berche Ralph Kenna’s Scaling Relations in Critical Phenomena Entropy critical exponents logarithmic corrections scaling and renormalization scaling laws tricritical point finite-size scaling |
| title | Ralph Kenna’s Scaling Relations in Critical Phenomena |
| title_full | Ralph Kenna’s Scaling Relations in Critical Phenomena |
| title_fullStr | Ralph Kenna’s Scaling Relations in Critical Phenomena |
| title_full_unstemmed | Ralph Kenna’s Scaling Relations in Critical Phenomena |
| title_short | Ralph Kenna’s Scaling Relations in Critical Phenomena |
| title_sort | ralph kenna s scaling relations in critical phenomena |
| topic | critical exponents logarithmic corrections scaling and renormalization scaling laws tricritical point finite-size scaling |
| url | https://www.mdpi.com/1099-4300/26/3/221 |
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