http://www.cnr.it/ontology/cnr/individuo/prodotto/ID167128

Effect of antiferromagnetic exchange interactions on the Glauber dynamics of one-dimensional Ising models (Articolo in rivista)

Type

Prodotto della ricerca (Classe)
Articolo in rivista (Classe)

Label

Effect of antiferromagnetic exchange interactions on the Glauber dynamics of one-dimensional Ising models (Articolo in rivista) (literal)

Anno

2007-01-01T00:00:00+01:00 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi

10.1103/PhysRevB.76.064407 (literal)

Alternative label

M. G. Pini; A. Rettori (2007)
Effect of antiferromagnetic exchange interactions on the Glauber dynamics of one-dimensional Ising models
in Physical review. B, Condensed matter and materials physics; American Physical Society (APS), College Pk (Stati Uniti d'America)
(literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

M. G. Pini; A. Rettori (literal)

Pagina inizio

064407 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url

http://link.aps.org/doi/10.1103/PhysRevB.76.064407 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

76 (literal)

Rivista

Physical review. B, Condensed matter and materials physics (Rivista)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali

13 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo

6 (literal)

Note

ISI Web of Science (WOS) (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

1) Istituto dei Sistemi Complessi, CNR, Sezione di Firenze, Via Madonna del Piano, I-50019 Sesto Fiorentino (FI), Italy 2) Dipartimento di Fisica, Università di Firenze, Via G. Sansone 1, I-50019 Sesto Fiorentino (FI), Italy 3) INFM-CNR National Research Center S3, Via Campi 213/A, I-41100 Modena, Italy (literal)

Titolo

Effect of antiferromagnetic exchange interactions on the Glauber dynamics of one-dimensional Ising models (literal)

Abstract

We study the effect of antiferromagnetic interactions on the single spin-flip Glauber dynamics of two different one-dimensional Ising models with spin ± 1. The first model is an Ising chain with antiferromagnetic exchange interaction limited to nearest neighbors and subject to an oscillating magnetic field. The system of master equations describing the time evolution of sublattice magnetizations can easily be solved within a linear field approximation and a long time limit. Resonant behavior of the magnetization as a function of temperature (stochastic resonance) is found, at low frequency, only when spins on opposite sublattices are uncompensated owing to different gyromagnetic factors (i.e., in the presence of a ferrimagnetic short range order). The second model is the axial next-nearest-neighbor Ising (ANNNI) chain, where an antiferromagnetic exchange between next-nearest neighbors is assumed to compete with a nearest-neighbor exchange interaction of either sign. The long time response of the model to a weak, oscillating magnetic field is investigated in the framework of a decoupling approximation for three-spin correlation functions, which is required to close the system of master equations. The calculation, within such an approximate theoretical scheme, of the dynamic critical exponent z, defined as 1/tau approximate to(1/xi)(z) (where tau is the longest relaxation time and xi is the correlation length of the chain), suggests that the T=0 single spin-flip Glauber dynamics of the ANNNI chain is in a different universality class than that of the unfrustrated Ising chain. (literal)

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