Finite-size scaling theory: Quantitative and qualitative approaches to critical phenomena - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Studies in History and Philosophy of Science Part A Année : 2023

Finite-size scaling theory: Quantitative and qualitative approaches to critical phenomena

Résumé

The finite-size scaling (FSS) theory is a relatively new and important attempt to study critical phenomena; this paper aims to contribute to clarifying the philosophical significance of this theory. We maintain that, contrary to initial appearances and to some recent claims in the literature, the FSS theory cannot arbitrate the debate between the reductionists and antireductionists about phase transitions. Although the theory allows scientists to provide predictions for finite systems, the analysis we carry on here shows that it involves the intertwinement of both finite and infinite systems. But, we argue, the FSS theory has another virtue, as it provides quantitative predictions and explanations for finite systems close to the critical point; it thus complements in a distinctive manner the standard Renormalization Group qualitative approach relying on infinite systems.
Fichier principal
Vignette du fichier
FFS_blind_27_06_2023_preprint.pdf (643.73 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04143005 , version 1 (27-06-2023)

Identifiants

Citer

Vincent Ardourel, Sorin Bangu. Finite-size scaling theory: Quantitative and qualitative approaches to critical phenomena. Studies in History and Philosophy of Science Part A, 2023, 100, pp.99-106. ⟨10.1016/j.shpsa.2023.05.010⟩. ⟨hal-04143005⟩
37 Consultations
42 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More