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Titolo:
On the decay of correlations in the generalized spherical model
Autore:
Angelescu, N; Bundaru, M; Costache, G;
Indirizzi:
Inst Phys & Nucl Engn, Dept Theoret Phys, RO-76900 Bucharest, Romania InstPhys & Nucl Engn Bucharest Romania RO-76900 6900 Bucharest, Romania
Titolo Testata:
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
fascicolo: 25, volume: 32, anno: 1999,
pagine: 4571 - 4584
SICI:
0305-4470(19990625)32:25<4571:OTDOCI>2.0.ZU;2-I
Fonte:
ISI
Lingua:
ENG
Soggetto:
VECTOR MODEL; LIMIT;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
25
Recensione:
Indirizzi per estratti:
Indirizzo: Angelescu, N Inst Phys & Nucl Engn, Dept Theoret Phys, POB MG-6, RO-76900 Bucharest, Romania Inst Phys & Nucl Engn POB MG-6 Bucharest Romania RO-76900 ia
Citazione:
N. Angelescu et al., "On the decay of correlations in the generalized spherical model", J PHYS A, 32(25), 1999, pp. 4571-4584

Abstract

We point out that the generalized spherical model, as a limit of the isotropic n-vector model, inherits a natural separation into longitudinal and transverse spin projections with respect to the direction of the external field (or spontaneous magnetization), which are distributed in the limit as two independent Gaussian scalar spin systems with different covariance operators. The transverse correlations are well studied within the Berlin-Kac model, which is identified with the corresponding Gaussian model. We consider here the longitudinal correlations and study in detail their spatial fall-off in the transition region. We find a non-trivial temperature dependence, summable clustering away from the critical point (in particular, they obey the fluctuation relation) and a different critical behaviour.

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Documento generato il 04/12/20 alle ore 20:04:02