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Titolo:
Correlation functions, free energies, and magnetizations in the two-dimensional random-field Ising model - art. no. 036117
Autore:
de Queiroz, SLA; Stinchcombe, RB;
Indirizzi:
Univ Fed Rio de Janeiro, Inst Fis, BR-21945970 Rio De Janeiro, Brazil UnivFed Rio de Janeiro Rio De Janeiro Brazil BR-21945970 BCeiro, Brazil Univ Oxford, Dept Phys, Oxford OX1 3NP, England Univ Oxford Oxford England OX1 3NP d, Dept Phys, Oxford OX1 3NP, England
Titolo Testata:
PHYSICAL REVIEW E
fascicolo: 3, volume: 6403, anno: 2001,
parte:, 2
pagine: 6117 -
SICI:
1063-651X(200109)6403:3<6117:CFFEAM>2.0.ZU;2-H
Fonte:
ISI
Lingua:
ENG
Soggetto:
SIZE SCALING ANALYSIS; CRITICAL-BEHAVIOR; MONTE-CARLO; CRITICAL SCATTERING; ANTI-FERROMAGNET; CLUSTER-ANALYSIS; POTTS MODELS; SYSTEMS; UNIVERSALITY;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
--discip_EC--
Citazioni:
39
Recensione:
Indirizzi per estratti:
Indirizzo: de Queiroz, SLA Univ Fed Rio de Janeiro, Inst Fis, Caixa Postal 68528, BR-21945970 Rio De Janeiro, Brazil Univ Fed Rio de Janeiro Caixa Postal 68528 Rio De Janeiro Brazil BR-21945970 BC
Citazione:
S.L.A. de Queiroz e R.B. Stinchcombe, "Correlation functions, free energies, and magnetizations in the two-dimensional random-field Ising model - art. no. 036117", PHYS REV E, 6403(3), 2001, pp. 6117

Abstract

Transfer-matrix methods are used to calculate spin-spin correlation functions (G), Helmholtz free energies (f) and magnetizations (m) in the two-dimensional random-field Ising model close to the zero-field bulk critical temperature T-c (0), on long strips of width L = 3 - 18 sites, for binary fielddistributions. Analysis of the probability distributions of G for varying spin-spin distances R shows that describing the decay of their averaged values by effective correlation lengths is a valid procedure only for not verylarge R. Connections between field and correlation function distributions at high temperatures are established, yielding approximate analytical expressions for the latter, which are used for computation of the corresponding structure factor. It is shown that, for fixed R/L, the fractional widths ofcorrelation-function distributions saturate asymptotically with L-2.2. Considering an added uniform applied field h, a connection between f (h), m(h), the Gibbs free energy g(m) and the distribution function for the uniform magnetization in a zero uniform field, P-o(m), is derived and first illustrated for pure systems, and then applied for nonzero random field. From finite-size scaling and crossover arguments, coupled with numerical data, it isfound that the width of P-o(m) varies against (nonvanishing, but small) random-field intensity H-o as H-o(-3/7).

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Documento generato il 19/01/20 alle ore 10:03:21