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Comment on "Canonical-ensemble results for the Ising model with random bonds in two dimensions"
Morgenstern, Ingo und Binder, Kurt (1983) Comment on "Canonical-ensemble results for the Ising model with random bonds in two dimensions". Physical Review B (PRB) 27 (9), S. 5826-5828.Veröffentlichungsdatum dieses Volltextes: 16 Aug 2010 12:25
Artikel
DOI zum Zitieren dieses Dokuments: 10.5283/epub.16156
Zusammenfassung
In numerical calculations of a quantity Λ(T)≡-∂lnχEA′/∂T, where χEA′≡Σ(〈σiσj〉T2)J for finite L×L Edwards-Anderson (EA) models, Fernández [Phys. Rev. B 25, 417 (1982)] finds that Λ(T) has a peak at T0≈0.6 (Gaussian model) or T0≈1.0, for L=4,6,8,10,or 11, respectively. He finds that the peak height Λmax=Λ(T0) increases in direct proportion to L, and interprets his results in terms of a phase ...
In numerical calculations of a quantity Λ(T)≡-∂lnχEA′/∂T, where χEA′≡Σ(〈σiσj〉T2)J for finite L×L Edwards-Anderson (EA) models, Fernández [Phys. Rev. B 25, 417 (1982)] finds that Λ(T) has a peak at T0≈0.6 (Gaussian model) or T0≈1.0, for L=4,6,8,10,or 11, respectively. He finds that the peak height Λmax=Λ(T0) increases in direct proportion to L, and interprets his results in terms of a phase transition at T0, where the correlation length ξEA∝(T-T0)-1. This conclusion is in disagreement with our previous findings that ξEA is finite in this temperature range, although a (dynamic) "freezing transition" of the spins occurs at Tf≈1.0 (Gaussian model) or Tf≈1.3 (±J model), which lead us to suggest that the two-dimensional EA model has a phase transition at zero temperature only.
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| Dokumentenart | Artikel | ||||
| Titel eines Journals oder einer Zeitschrift | Physical Review B (PRB) | ||||
| Verlag: | American Physical Society | ||||
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| Band: | 27 | ||||
| Nummer des Zeitschriftenheftes oder des Kapitels: | 9 | ||||
| Seitenbereich: | S. 5826-5828 | ||||
| Datum | 1 Mai 1983 | ||||
| Institutionen | Physik > Institut für Theoretische Physik > Professor Morgenstern | ||||
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| Dewey-Dezimal-Klassifikation | 500 Naturwissenschaften und Mathematik > 530 Physik | ||||
| Status | Veröffentlicht | ||||
| Begutachtet | Unbekannt / Keine Angabe | ||||
| An der Universität Regensburg entstanden | Unbekannt / Keine Angabe | ||||
| Dokumenten-ID | 16156 |
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