%0 Book Section %1 statphys23_0233 %A Scalas, E. %A Germano, G. %A Martin, E. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K dynamics ehrenfest fluid hypothesis lennard-jones markov molecular processes simulations statphys23 stochastic topic-1 urn %T The Ehrenfest urn revisited: playing the game on a realistic fluid model %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=233 %X The Ehrenfest urn process is simulated realistically by molecular dynamics of the Lennard-Jones fluid. We study the absolute value $|\Delta z|$ of the difference between the number of particles in one half of the 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 gaseous phase, it follows strictly the predictions of the Ehrenfest theory.

@incollection{statphys23_0233, abstract = {The Ehrenfest urn process is simulated realistically by molecular dynamics of the Lennard-Jones fluid. We study the absolute value $|\Delta z|$ of the difference between the number of particles in one half of the 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 gaseous phase, it follows strictly the predictions of the Ehrenfest theory.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Scalas, E. and Germano, G. and Martin, E.}, biburl = {https://www.bibsonomy.org/bibtex/2d56640a23d257e262f2a21442aea3371/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {47334a3eb9e054333eab0e11191b4e5d}, intrahash = {d56640a23d257e262f2a21442aea3371}, keywords = {dynamics ehrenfest fluid hypothesis lennard-jones markov molecular processes simulations statphys23 stochastic topic-1 urn}, month = {9-13 July}, timestamp = {2007-06-20T10:16:14.000+0200}, title = {The Ehrenfest urn revisited: playing the game on a realistic fluid model}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=233}, year = 2007 }