A Ohm and Hall diffusion

Summary
I know that the diffusion of charged particles in a magnetic field is described as a diffusion tensor with 3 components: Diff parallel to the field, perpendicular and anti-symmetric diffusion. Is this last one that I do not understand.
Summary: I know that the diffusion of charged particles in a magnetic field is described as a diffusion tensor with 3 components: Diff parallel to the field, perpendicular and anti-symmetric diffusion. Is this last one that I do not understand.

Dear community,
I am PhD candidate in astroparticle physics and I study cosmic rays and their propagation in the Galaxy. To describe it we use a diffusive equation, with a diffusion coefficient which basically is a tensor. This tensor has the components of diff coef. parallel to the field, diff coef. perpendicular and anti-symmetric diffusion coefficient. The latter is called hall diffusion coefficient.

For me is not clear what can be the origin of this component of the tensor, but I have found that this Hall diffusion can also be described as a particle drift in a large-scale inhomogeneous magnetic field (e.g. Isenberg and Jokipii, 1979). This explanation is even more confuse for me since they also say that this diffusion is not important for small energies.

Checking more I found that this kind of diffusion is also used to describe movements of matter in accretion disks, and in that case they discern between Ohm and Hall diffusion.

So, my final question is, what does Hall diffusion is? and what is the difference with Ohm diffusion?

Thank you in advance
 

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