https://gdpark.blog/tags/brownian-motion/Recent content in Brownian Motion on gdpark.blogHugoenSat, 16 Jul 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-70-brownian-motion-and-the-langevin-equation/Wed, 13 Jul 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-70-brownian-motion-and-the-langevin-equation/A casual romp through the wild history of Brownian motion — from Robert Brown’s baffled pollen experiments all the way to Einstein’s miracle-year paper and beyond.https://gdpark.blog/posts/thermal-statistical-71-diffusion-equation-and-diffusion-constant-via-brownian-motio/Thu, 14 Jul 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-71-diffusion-equation-and-diffusion-constant-via-brownian-motio/We piece together Fick’s law and the diffusion equation step by step — from number density gradients to flux — and nail down what the diffusion constant D actually means.https://gdpark.blog/posts/thermal-statistical-72-brownian-motion-and-the-correlation-function/Fri, 15 Jul 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-72-brownian-motion-and-the-correlation-function/Deriving the velocity correlation function ⟨v(0)v(t)⟩ from the Langevin equation — basically asking whether your current state still remembers where it started, gold-spoon style.https://gdpark.blog/posts/thermal-statistical-73-fluctuations/Sat, 16 Jul 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-73-fluctuations/Can wild, chaotic fluctuations actually be tamed by state functions like S, T, and V? Turns out entropy and probability density are more buddy-buddy than you’d think.