Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-12-02
Phys. Rev. E 76, 011104 (2007)
Physics
Condensed Matter
Statistical Mechanics
Accepted by Physical Review E on 4 May 2007
Scientific paper
10.1103/PhysRevE.76.011104
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 time evolution of the atomic coordinates. We discuss the Markov hypothesis by analyzing the statistical properties of the jumps and of the waiting times between jumps. In the limit of a vanishing integration time-step, the distribution of waiting times becomes closer to an exponential and, therefore, the continuous-time jump stochastic process is Markovian. The random variable Delta z behaves as a Markov chain and, in the gas phase, the observed transition probabilities follow the predictions of the Ehrenfest theory.
Germano Guido
Martin Eduardo
Scalas Enrico
No associations
LandOfFree
The Ehrenfest urn revisited: Playing the game on a realistic fluid model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Ehrenfest urn revisited: Playing the game on a realistic fluid model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Ehrenfest urn revisited: Playing the game on a realistic fluid model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-529382