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Verfasst von:Mazzeo, Giorgio [VerfasserIn]   i
 Kühn, Reimer [VerfasserIn]   i
Titel:Critical behavior of the two-dimensional spin-diluted Ising model via the equilibrium ensemble approach
Verf.angabe:Giorgio Mazzeo and Reimer Kühn, Institut für Theoretische Physik, Universitat Heidelberg, Philosophenweg 19, 69120 Heidelberg, Germany
Umfang:14 S.
Fussnoten:Gesehen am 06.03.2018
Titel Quelle:Enthalten in: Physical review / E
Jahr Quelle:1999
Band/Heft Quelle:60(1999), 4, S. 3823-3836
ISSN Quelle:1550-2376
Abstract:The equilibrium ensemble approach to disordered systems is used to investigate the critical behavior of the two-dimensional Ising model in the presence of quenched random site dilution. The numerical transfer matrix technique in semi-infinite strips of finite width, together with phenomenological renormalization and conformal invariance, is particularly suited to putting the equilibrium ensemble approach to work. A method by which to extract with great precision the critical temperature of the model is proposed and applied. A more systematic finite-size scaling analysis than in previous numerical studies has been performed. A parallel investigation, along the lines of the two main scenarios currently under discussion, namely, the logarithmic corrections scenario (with critical exponents fixed in the Ising universality class) versus the weak universality scenario (critical exponents varying with the degree of disorder), is carried out. In interpreting our data, maximum care isconstantly taken to be open to both possibilities. A critical discussion shows that an unambiguous discrimination between the two scenarios is still not possible on the basis of the available finite-size data.
DOI:doi:10.1103/PhysRevE.60.3823
URL:Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.

Verlag: http://dx.doi.org/10.1103/PhysRevE.60.3823
 Verlag: https://link.aps.org/doi/10.1103/PhysRevE.60.3823
 DOI: https://doi.org/10.1103/PhysRevE.60.3823
Datenträger:Online-Ressource
Sprache:eng
K10plus-PPN:1570441723
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