Bernoulli-Laplace The Bernoulli-Laplace model of diffusion describes the flow of two incompressible liquids between two containers. It may be described as two urns that contain balls each. Initially, the balls in the left urn are all red and the balls in the right urn are all blue. At each step, pick a ball at random… Continue reading Bernoulli-Laplace Model of Diffusion
Category: Markov chain
The Ehrenfest Urn Model
Paul Ehrenfest Paul Ehrenfest is one of premier statistical mechanics of all time. Following in the footsteps of his advisor, and the father of statistical mechanics, Ludwig Boltzmann, Ehrenfest was renowned for his focus and clarity on fundamental problems. The Ehrenfest Model The Ehrenfest model, sometimes called the urn model or the dog-flea model, is… Continue reading The Ehrenfest Urn Model