Abstract
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.
| Original language | English |
|---|---|
| Article number | 221 |
| Number of pages | 15 |
| Journal | Entropy |
| Volume | 26 |
| Issue number | 3 |
| Early online date | 29 Feb 2024 |
| DOIs | |
| Publication status | E-pub ahead of print - 29 Feb 2024 |
Bibliographical note
© 2024 by the authors.Licensee MDPI, Basel, Switzerland
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
Funding
We gratefully acknowledge stimulating discussions with Wolfhard Janke. We also thank the collaboration Leipzig-Lviv-Lorraine-Coventry. LM thanks Coventry University and the Collège Doctoral 02-07 Statistical Physics of Complex Systems (University of Leipzig-Université de Lorraine) for financial support.
| Funders |
|---|
| Coventry University |
| Doctoral College for the Statistical Physics of Complex Systems |
Keywords
- critical exponents
- finite-size scaling
- logarithmic corrections
- scaling and renormalization
- scaling laws
- tricritical point
ASJC Scopus subject areas
- Information Systems
- Mathematical Physics
- Physics and Astronomy (miscellaneous)
- General Physics and Astronomy
- Electrical and Electronic Engineering
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