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The curves form a hysteresis loop. Hysteresis is the dependence of the state of a system on its history. For example, a magnet may have more than one possible magnetic moment in a given magnetic field, depending on how the field changed in the past. Plots of a single component of the moment often form a loop or hysteresis curve, where there are ...
Comparing the exchange spring magnet's hysteresis loop with that of a conventional hard magnet demonstrates that the exchange spring magnet is more likely to recover from the opposing external field. When the external field is removed, the remanent magnetization can recover to a value close to its original. The name "exchange spring magnet" is ...
Usually only the hysteresis loop is plotted; the energy maxima are only of interest if the effect of thermal fluctuations is calculated. [1] The Stoner–Wohlfarth model is a classic example of magnetic hysteresis. The loop is symmetric (by a 180 ° rotation) about the origin and jumps occur at h = ± h s, where h s is known as the switching field.
Transforming between states requires input energy which leads to hysteresis. Right: Example stress-strain hysteresis for a ferroelastic crystal. Ferroelasticity is a phenomenon in which a material may exhibit a spontaneous strain, and is the mechanical equivalent of ferroelectricity and ferromagnetism in the field of ferroics .
Hysteresis loop Induction B as function of field strength H for H varying between H min and H max; for ferromagnetic material the B has different values for H going up and down, therefore a plot of the function forms a loop instead of a curve joining two points; for perminvar type materials, the loop is a "rectangle" (Domain Structure of Perminvar Having a Rectangular Hysteresis Loop, Williams ...
The downward curve after saturation, along with the lower return curve, form the main loop. The intercepts h c and m rs are the coercivity and saturation remanence. Magnetic hysteresis occurs when an external magnetic field is applied to a ferromagnet such as iron and the atomic dipoles align themselves with it.
Magnetostrictive hysteresis loop of Mn-Zn ferrite for power applications measured by semiconductor strain gauges. Like flux density, the magnetostriction also exhibits hysteresis versus the strength of the magnetizing field. The shape of this hysteresis loop (called "dragonfly loop") can be reproduced using the Jiles-Atherton model. [4]
The hysteresis loop (P x versus E x) may be obtained from the free energy expansion by including the term −E x P x corresponding to the energy due to an external electric field E x interacting with the polarization P x, as follows: