Microscopic chaos and diffusion

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dc.creatorDettmann, C. P.
dc.creatorCohen, E. G. D.
dc.date2000-01-27
dc.date2000-07-21
dc.date.accessioned2026-07-07T05:32:39Z
dc.date.available2026-07-07T05:32:39Z
dc.descriptionWe investigate the connections between microscopic chaos, defined on a dynamical level and arising from collisions between molecules, and diffusion, characterized by a mean square displacement proportional to the time. We use a number of models involving a single particle moving in two dimensions and colliding with fixed scatterers. We find that a number of microscopically nonchaotic models exhibit diffusion, and that the standard methods of chaotic time series analysis are ill suited to the problem of distinguishing between chaotic and nonchaotic microscopic dynamics. However, we show that periodic orbits play an important role in our models, in that their different properties in chaotic and nonchaotic systems can be used to distinguish such systems at the level of time series analysis, and in systems with absorbing boundaries. Our findings are relevant to experiments aimed at verifying the existence of chaoticity and related dynamical properties on a microscopic level in diffusive systems.
dc.description28 pages revtex, 14 figures incorporated with epsfig; see also chao-dyn/9904041; revised to clarify the definition of chaos and include discussion of a mixed model with both square and circular scatterers
dc.identifierhttps://arxiv.org/abs/nlin/0001062
dc.identifierhttp://arxiv.org/abs/nlin/0001062
dc.identifierJ. Stat. Phys. 101, 775-817 (2000).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79730
dc.subjectChaotic Dynamics
dc.titleMicroscopic chaos and diffusion
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