Magnetic hysteresis loops as Lissajous plots of relaxationally delayed response to periodic field variation

Muktish Acharyya and Bikas K. Chakrabarti

Physica A: Statistical Mechanics and its Applications, 1994, vol. 202, issue 3, 467-481

Abstract: We have studied the nature of the response function (magnetisation) arising in response to a periodic perturbation (magnetic field) on Ising systems, using the Monte Carlo simulation (for a three dimensional Ising system) and also solving the mean field equation of Ising dynamics. The hysteresis loop is identified here as the Lissajous plot of the response function versus the perturbing field. It is observed that the response function is always periodic with the same frequency as that of the perturbing field and gets delayed in general due to relaxation. This equality in the frequency gives rise to the quadratic equation of the Lissajous figures (double valuedness and stability of magnetisation in the hysteresis loop) and the delay gives rise to the nonvanishing width of the Lissajous figures (nonvanishing hysteresis loss). We have also studied the scaling behaviour for the hysteresis loop area A, obtained from the mean field solution of the Ising dynamics and from the Monte Carlo study of a three dimensional Ising system. The scaling function is observed to be Lorentzian in form in the mean field case, while the scaling function is an exponentially decaying one multiplied by a power law function, in the case of (Monte Carlo results for) the three dimensional Ising systems. Additionally, we have studied the dynamic phase transition for the three dimensional Ising system and the tricritical point in the phase diagram has been located.

Date: 1994
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437194904731
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:202:y:1994:i:3:p:467-481

DOI: 10.1016/0378-4371(94)90473-1

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().