Ergodicity of a single particle confined in a nanopore

Bernardi, Stefano, Hansen, J. S., Frascoli, Federico, Todd, B. D. and Dettmann, Carl P. (2012) Ergodicity of a single particle confined in a nanopore. Journal of Statistical Physics, 148 6: 1156-1169. doi:10.1007/s10955-012-0577-8

Author Bernardi, Stefano
Hansen, J. S.
Frascoli, Federico
Todd, B. D.
Dettmann, Carl P.
Title Ergodicity of a single particle confined in a nanopore
Journal name Journal of Statistical Physics   Check publisher's open access policy
ISSN 0022-4715
Publication date 2012-09-01
Sub-type Article (original research)
DOI 10.1007/s10955-012-0577-8
Open Access Status Not Open Access
Volume 148
Issue 6
Start page 1156
End page 1169
Total pages 14
Place of publication New York, NY, United States
Publisher Springer
Language eng
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.
Keyword Ergodic theory
Statistical mechanics
Dynamical systems
Lyapunov exponents
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Published online: 7 September 2012.

Document type: Journal Article
Sub-type: Article (original research)
Collections: Official 2013 Collection
Australian Institute for Bioengineering and Nanotechnology Publications
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