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Avoiding the Hc=0 anomaly using FORC+ (expanded version of paper GG-05, MMM-Intermag 2019)

2018/11/05 by P. B. Visscher, Visscher, P. B.
Physics and Astronomy · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #cond-mat.mtrl-sci

paper · pdf · doi:10.48550/arxiv.1811.02080

6 pages, 8 figures, expanded from 2019 MMM-Intermag Joint Conference paper GG-05

arxiv created 2018/11/05 · arxiv updated 2018/11/07

Abstract

In conventional FORC (First Order Reversal Curve) analysis of a magnetic system, reversible and low-coercivity irreversible materials are treated as being qualitatively different: the FORC distribution shows low-coercivity materials but completely hides reversible (zero-coercivity) ones. This distinction is artificial -- as the coercivity approaches zero, the physical properties of an irreversible material change smoothly into those of a reversible material. We have developed a method (called FORC+, implemented in free software at http://MagVis.org) for displaying the reversible properties of a system (a reversible switching-field distribution, R-SFD) together with the irreversible ones (the usual FORC distribution), so that there is no sudden discontinuity in the display when the coercivity becomes zero. We will define a "FORC+ dataset" to include the usual FORC distribution, the R-SFD, the saturation magnetization, and what we will call the "lost hysteron distribution" (LHD) such that no information is lost -- the original FORC curves can be exactly recovered from the FORC+ dataset. We also give some examples of the application of FORC+ to real data -- it uses a novel complementary-color display that minimizes the need for smoothing. In systems which switch suddenly (thus having sharp structures in the FORC distribution) direct display of un-smoothed raw data allows visualization of sharp structures that would be washed out in a conventional smoothed FORC display. This is an expanded version of paper GG-05, MMM-Intermag 2019, with a discrete derivation of the FORC distribution (Eq. 1) and an additional example (Fig. 7).

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