I used to have the same idea as you, that is, how to use Lorentz force to explain the attraction and repulsion between magnets. I also tried to find relevant information on the Internet, but could not find it. Therefore, I used an intuitive drawing method to solve this problem, as shown in the figure below. Sep 14, 2009 · Most forces that are usually taken into account in soft matter physics are electro- or magneto-static in nature. That means that the forces are specifically due to the electric or magnetic attraction or repulsion between charges. As distances become sufficiently smaller (on the order of 10's of nm) quantum effects begin to become apparent.
The attraction and repulsion forces are codified by Coulomb's Law (attraction falls off at the square of the distance, which has a corrolary for acceleration in a gravitational field, suggesting that gravitation may be merely electrostatic phenomenon between relatively weak charges in terms of scale).