PhysRevE.76.011104.pdf (211.89 kB)
Ehrenfest urn revisited: playing the game on a realistic fluid model
journal contribution
posted on 2023-06-08, 18:25 authored by Enrico Scalas, Edgar Martin, Guido GermanoThe 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.
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- Published
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- Published version
Journal
Physical Review EISSN
1539-3755Publisher
American Physical SocietyExternal DOI
Volume
76Page range
011104(1)-011104(6)Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2014-09-29First Open Access (FOA) Date
2014-09-29First Compliant Deposit (FCD) Date
2014-09-29Usage metrics
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