Hysteresis in isotropic spin systems

Thomas, P. B. ; Dhar, D. (1993) Hysteresis in isotropic spin systems Journal of Physics A: Mathematical and General, 26 (16). pp. 3973-3981. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/26/16/014

Related URL: http://dx.doi.org/10.1088/0305-4470/26/16/014


The authors consider hysteresis in isotropic N-vector models in d dimensions in an external spatially uniform field varying sinusoidally in time. They use renormalization group arguments to show that for d ) 2 and N >or= 2, for small frequencies omega , and small amplitudes H0 of the field, the area of the hysteresis loop scales as (H0 omega )12/. with logarithmic corrections. For N =1 and d ) 1, using nucleation theory they show that the area for omega « H0 scales as mod Tln(H0 omega ) mod -1(d-1/). The power-law dependence of the area of hysteresis loops in continuous spin systems is a manifestation of their self-organized criticality.

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Deposited On:02 Nov 2010 12:19
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