User:Brian P. Josey/Notebook/2010/07/28: Difference between revisions
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==Temp note to self== | |||
Finish this paper up | |||
catch up on tracking and posted so far | |||
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Revision as of 20:47, 28 July 2010
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Application of Magnetic NanoparticlesReading an interesting paper titled Applications of Magnetic Nanoparticles in Biomedicine by Q Pankhurst published in 2003. Here's a link to the article. The paper is a review, and starts out with a brief discussion of the relation between magnetization, external magnetic field and magnetic inductance. It also discusses the various different types of magnets, including superparamagnetic and single and multiple domain ferromagnets. They come up with an interesting formula for the force that accounts for the magnetic suseptability of water for a dilute amount of nanomagnets in water. The formula is: [math]\displaystyle{ \vec Fm = \frac {V_m \Delta \chi} {\mu_0} (\vec B \cdot \nabla) \vec B }[/math] where V is the volume of the nanoparticles, Δχ is the difference in suseptability between the water and nanoparticle, and μ0 is the permiability of free space. Then by applying Gauss's law for magnitization [math]\displaystyle{ \nabla \cdot \vec B = 0 }[/math] the authors derive a simpler equation for the force: [math]\displaystyle{ \vec F_m = V_m \Delta \chi \nabla \frac {B^2} {2 \mu_0} }[/math] Temp note to selfFinish this paper up catch up on tracking and posted so far | |
