Knots and Random Walks in Vibrated Granular Chains

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dc.creatorBen-Naim, E.
dc.creatorDaya, Z. A.
dc.creatorVorobieff, P.
dc.creatorEcke, R. E.
dc.date2000-12-08
dc.date.accessioned2026-07-07T02:39:42Z
dc.date.available2026-07-07T02:39:42Z
dc.descriptionWe study experimentally statistical properties of the opening times of knots in vertically vibrated granular chains. Our measurements are in good qualitative and quantitative agreement with a theoretical model involving three random walks interacting via hard core exclusion in one spatial dimension. In particular, the knot survival probability follows a universal scaling function which is independent of the chain length, with a corresponding diffusive characteristic time scale. Both the large-exit-time and the small-exit-time tails of the distribution are suppressed exponentially, and the corresponding decay coefficients are in excellent agreement with the theoretical values.
dc.description4 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0012145
dc.identifierhttp://arxiv.org/abs/cond-mat/0012145
dc.identifierPhys. Rev. Lett. 86, 1414 (2001)
dc.identifierdoi:10.1103/PhysRevLett.86.1414
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17117
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.titleKnots and Random Walks in Vibrated Granular Chains
dc.typetext

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