Superparamagnetism

# Overview
Superparamagnetism is a phenomenon by which magnetic materials may exhibit a behavior similar to paramagnetism even when at temperatures below the Curie or the Neel temperature. This is a small length-scale phenomenon, where the energy required to change the direction of the magnetic moment of a particle is comparable to the ambient thermal energy. At this point, the rate at which the particles will randomly reverse direction becomes significant.
Normally, coupling forces in ferromagnetic materials cause the magnetic moments of neighboring atoms to align, resulting in very large internal magnetic fields.  This is what distinguishes ferromagnetic materials from paramagnetic materials. At temperatures above the Curie temperature (or the Neel temperature for antiferromagnetic materials), the thermal energy is sufficient to overcome the coupling forces, causing the atomic magnetic moments to fluctuate randomly.  Because there is no longer any magnetic order, the internal magnetic field no longer exists and the material exhibits paramagnetic behavior. If the material is non-homogeneous, one can observe a mixture of ferromagnetic and paramagnetic clusters of atoms at the same temperature, the superparamagnetic stage. The idea of superparamagnetism is used in SuperParamagnetic Clustering algorithm (SPC) as well as in its extension global SPC.
Superparamagnetism occurs when the material is composed of very small crystallites (110 nm).  In this case even when the temperature is below the Curie or Neel temperature (and hence the thermal energy is not sufficient to overcome the coupling forces between neighboring atoms), the thermal energy is sufficient to change the direction of magnetization of the entire crystallite.  The resulting fluctuations in the direction of magnetization cause the magnetic field to average to zero.  Thus the material behaves in a manner similar to paramagnetism, except that instead of each individual atom being independently influenced by an external magnetic field, the magnetic moment of the entire crystallite tends to align with the magnetic field.
The energy required to change the direction of magnetization of a crystallite is called the crystalline anisotropy energy and depends both on the material properties and the crystallite size. As the crystallite size decreases, so does the crystalline anisotropy energy, resulting in a decrease in the temperature at which the material becomes superparamagnetic.
The rate at which particles will lose their direction is governed by the Neel-Arrhenius equation. In particular, it is a function of the exponential of the grain volume.

# Effect on hard drives
Superparamagnetism sets a limit on the storage density of hard disk drives due to the minimum size of particles that can be used. This limit is known as the superparamagnetic limit. Current hard disk technology with longitudinal recording has an estimated limit of 100 to 200 Gbit/in2, though this estimate is constantly changing.
One suggested technique to further extend recording densities on hard disks is to use perpendicular recording rather than the conventional longitudinal recording. This changes the geometry of the disk and alters the strength of the superparamagnetic effect.  .Perpendicular recording is predicted to allow information densities of up to around 1 Tbit/in2 (1024 Gbit/in2). --reference is on the perpendicular recording page
Another technique in development is the use of HAMR drives, which use materials that are stable at much smaller sizes. But, they require heating before the magnetic orientation of a bit can be changed.

# Applications of superparamagnetism

## General Applications
- Ferrofluid: tunable viscosity
- Sensors: more sensitivity (GMR,BARCIII)
- Self-assembly

## Biomedical applications
- Detection: Magnetic Resonance Imaging (MRI)
- Separation: cell-, DNA-, protein- separation, RNA fishing
- Treatment: drug-delivery, hyperthermia, magnetofection