Hysteresis and self-organized criticality in the O(N) model in the limit N to infinity

Dhar, D. ; Thomas, P. B. (1992) Hysteresis and self-organized criticality in the O(N) model in the limit N to infinity Journal of Physics A: Mathematical and General, 25 (19). pp. 4967-4984. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/25/19/012/

Related URL: http://dx.doi.org/10.1088/0305-4470/25/19/012

Abstract

The authors consider the response of the ferromagnetic N-vector model to a sinusoidally varying external magnetic field in the large-N limit. In all dimensions d > 2, they show that at low frequencies omega , and small amplitudes H0 of the field, the area of the hysteresis loop scales as (H0 omega )½ with logarithmic corrections. At very high frequencies, the area varies as H02/ omega . They find that for any H0 there is a dynamical phase transition separating these two frequency regimes. They determine numerically the critical frequency as a function of the field strength. In the high-frequency phase the magnetization is predominantly transverse to the external magnetic field.

Item Type:Article
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ID Code:9372
Deposited On:02 Nov 2010 12:20
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