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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/234094
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- Title
- Ergodicity of a single particle confined in a nanopore
- Author(s)
- Bernardi, Stefano; Hansen, J. S.; Frascoli, Federico; Todd, B. D.; Dettmann, Carl P.
- Abstract
- We analyze the dynamics of a gas particle moving through a nanopore of adjustable width with particular emphasis on ergodicity. We give a measure of the portion of phase space that is characterized by quasiperiodic trajectories which break ergodicity. The interactions between particle and wall atoms are mediated by a Lennard-Jones potential, so that an analytical treatment of the dynamics is not feasible, but making the system more physically realistic. In view of recent studies, which proved non-ergodicity for systems with scatterers interacting via smooth potentials, we find that the non-ergodic component of the phase space for energy levels typical of experiments, is surprisingly small, i.e. we conclude that the ergodic hypothesis is a reasonable approximation even for a single particle trapped in a nanopore. Due to the numerical scope of this work, our focus will be the onset of ergodic behavior which is evident on time scales accessible to simulations and experimental observations rather than ergodicity in the infinite time limit.
- Publication type
- Journal article
- Research centre
- Swinburne University of Technology. Faculty of Engineering and Industrial Sciences
- Source
- Journal of Statistical Physics, Vol. 148, no. 6 (Sep 2012), pp. 1156-1169
- Publication year
- 2012
- FOR Code(s)
- 01 Mathematical Sciences; 02 Physical Sciences
- Keyword(s)
- Dynamical systems; Ergodic theory; Lyapunov exponents; Statistical mechanics
- Publisher
- Springer
- ISSN
- 0022-4715
- Publisher URL
- http://dx.doi.org/10.1007/s10955-012-0577-8
- Copyright
- Copyright © 2012 Springer Science+Business Media, LLC. The accepted manuscript is reproduced in accordance with the copyright policy of the publisher. The definitive version is available at www.springer.com.
- Full text
- Peer reviewed
