2 ms·
Tangentially related, I recently searched for an equation that could provide the expected mean particle displacement (at some dt) given the average particle dif
by subroutine 7y ago
Tangentially related, I recently searched for an equation that could provide the expected mean particle displacement (at some dt) given the average particle diffusion rate. I was surprised to find out who solved this problem... Brownian motion was first described in 1827 by botanist Robert Brown while looking through a microscope at pollen immersed in water, which seemed to move with a so-called 'random walk'. Around 80 years later, the young physicist Albert Einstein published his first relatively (heh) important contribution to science - an article that worked out the math describing this stochastic motion. Here's the paper:
http://www.maths.usyd.edu.au/u/UG/SM/MATH3075/r/Einstein_1905.pdf http://www.maths.usyd.edu.au/u/UG/SM/MATH3075/r/Einstein_190...