- #1

- 7,510

- 3,293

I'm looking for a reference to help guide one of my students- a motivated physics undergrad. I would like him to work through a derivation of the mean-squared displacement of a particle undergoing free Brownian motion (free diffusion) and then for a particle held in an optical trap.

All of the references I have are graduate-level, and a quick google search turns up either mathematically-oriented derivations:

http://physics.gu.se/~frtbm/joomla/media/mydocs/LennartSjogren/kap7.pdf

http://wwwf.imperial.ac.uk/~pavl/lec_fokker_planck.pdf

Or documents that merely state the results:

http://faculty.philau.edu/masoodir/PDF/Projects/Thermo/Brownian%20Motion.pdf

Does anyone have a recommendation for something midway between these two extremes?