Mean transition times for the Ehrenfest urn model

Distributions, continued fractions, and the Ehrenfest Urn model

Reversing the drift of the Ehrenfest urn model and three conditionings

We consider a drift-reversed version of the celebrated Ehrenfest urn process with N balls. For this ‘dual’ process, the boundaries are assumed to be absorbing and so the killing times at the boundaries play a central role. Three natural conditionings on the fixation/extinction events pertaining to this model are investigated. Some spectral informations on the conditioned Markoff chains are obta...

Ehrenfest urn revisited: playing the game on a realistic fluid model.

The Ehrenfest urn process, also known as the dogs and fleas model, is realistically simulated by molecular dynamics of the Lennard-Jones fluid. The key variable is Delta(z) -i.e., the absolute value of the difference between the number of particles in one half of the simulation box and in the other half. This is a pure-jump stochastic process induced, under coarse graining, by the deterministic...

Phases in the Mixing of Gases via the Ehrenfest Urn Model

The Ehrenfest urn is a model for the mixing of gases in two chambers. Classic research deals with this system as a Markovian model with a fixed number of balls, and derives the steady-state behavior as a binomial distribution (which can be approximated by a normal distribution). We study the gradual change for an urn containing n balls from the initial condition to the steady state. We look at ...

Phases in the Diffusion of Gases via the Ehrenfest Urn Model

The Ehrenfest urn is a model for the diffusion of gases between two chambers. Classic research deals with this system as a Markovian model with a fixed number of balls, and derives the steady-state behavior as a binomial distribution (which can be approximated by a normal distribution). We study the gradual change for an urn containing n (a very large number) balls from the initial condition to...