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This phenomenon is shown in the hysteresis loop of exchange spring magnet.
These models allow an accurate modeling of the hysteresis loop and are widely used in the industry.
The hysteresis loop of an idealized rubber band is shown in the figure.
The hysteresis loop is then an ellipse with an area given by .
The shape of the hysteresis loop has a strong dependence on the angle between the magnetic field and the easy axis (Figure 3).
This results in a hysteresis loop in the stress-strain curve.
Magnetic hysteresis loops are not exclusive to materials with ferromagnetic ordering.
Saddle-node bifurcations may be associated with hysteresis loops and catastrophes.
At low magnetic field, the hysteresis loop is expected to be a Rayleigh loop.
The energy lost per cycle is proportional to the area of the hysteresis loop in the BH graph.
A magnetic hysteresis loop can be calculated by applying a geometric construction to this astroid.
Pinched hysteresis loops: Thinner loops in the middle than at the ends.
A series of hysteresis loops are acquired across the sample surface in order to map the switching characteristics as a function of position.
In many applications small hysteresis loops are driven around points in the B-H plane.
Indeed, the addition of thermal energy or Brownian motion only leads to a decrease of the hysteresis loop area (see below).
Such a sensor has an asymmetric hysteresis loop owing to the presence of a magnetically hard, pinning layer.
Materials with low coercivity have narrow hysteresis loops and so low hysteresis losses.
Changing the thickness of the non-magnetic layers led to a significant reduction of the residual magnetization in the hysteresis loop.
Stoner and Wohlfarth calculated the main hysteresis loop for an isotropic system of randomly oriented, identical particles.
They are called ferroelectrics by analogy to ferromagnetic materials, which have spontaneous magnetization and also exhibit hysteresis loops.
Extensions of the Stoner-Wohlfarth model have been done to include the influence of the temperature and frequency on the hysteresis loop.
A single domain magnetic material (ex: magnetic nanoparticles) that has no hysteresis loop is said to be superparamagnetic.
Apart from saturation, the B(H) dependency often contains a hysteresis loop and the reaction time of the projectile material may be significant.
The area of each lobe of the pinched hysteresis loop shrinks as the frequency of the forcing signal increases.
Typically the coercivity of a magnetic material is determined by measurement of the hysteresis loop, also called the magnetization curve, as illustrated in the figure.