Magnetic Fields and Rotational Diffusion

AI Thread Summary
The discussion focuses on calculating the rotational diffusion of a magnetic particle in water, emphasizing the need to consider the restoring force from the magnetic field. The user has a diffusion coefficient but seeks guidance on incorporating the torque experienced by the particle due to its magnetic moment in the presence of a magnetic field. The relevant equation for torque, τ = m × B, is mentioned as a key factor in this analysis. The user is utilizing the online program Hydra++ for calculations but requires additional insights on the magnetic field's effects. Understanding the interplay between the magnetic field and rotational diffusion is crucial for accurate modeling.
Thadis
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Hello, I am having to find the rotational diffusion of a magnetic particle inside of water. I already have a diffusion coefficient but I do not know how to take into account the restoring force that the particle will feel from the magnetic field.

The info that I know is:
B-Field Strength
m-magnetic moment
D-rotational diffusion coeffiecent

I have been using the online program Hydra++ to get the rotational diffusion coeffiencent.

Does anyone know how to take into account the restoring force of the magnetic field? Thank you.
 
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The particle will experience torque (moment of force)

$$
\boldsymbol{\tau} = \mathbf m  \times \mathbf B
$$
 
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