- #1

omoplata

- 327

- 2

How can I analytically find the magnetic field from a permanent magnet?

My approach would be to consider the magnet to be a lattice, with each lattice point being a molecule with a magnetic dipole moment [tex]\vec{\mu}[/tex] (CAN typical permanent magnets be considered to be this kind of lattices?). Then I would calculate the magnetic field [tex]\vec{B_{i}}(\vec{r})[/tex] due a magnetic moment at a generic position vector [tex]\vec{r}[/tex]. Spatial integration over the whole magnet would give me the total magnetic field [tex]\vec{B(\vec{r})}[/tex] at [tex]\vec{r}[/tex].

How do I calculate the magnetic dipole moment of each molecule?

If a typical permanent magnet indeed is a lattice, what makes all of them align in the same direction so all the magnetic dipole moments add up?

How does temperature affect this? Wouldn't the molecules oscillate as the temperature increases, and be less aligned in one direction as a whole?

How would the molecules affect each other? Would it be like the Ising model (I just learned about it), only more complex? Would they affect each other quantum mechanically, interfering with each others wavefunctions?

Do solid state physicists try to model magnets like this in real life?

Thanks