Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Knots and random walks in vibrated granular chains.

E Ben-Naim1, Z A Daya, P Vorobieff

  • 1Theoretical Division, Los Alamos National Laboratory, New Mexico 87545, USA.

Physical Review Letters
|April 6, 2001
PubMed
Summary

We experimentally studied knot opening times in vibrated granular chains. Results match a model of interacting random walks, showing universal scaling and exponential suppression for knot dynamics.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Dalton's and Amagat's laws fail in gas mixtures with shock propagation.

Science advances·2019
Same author

Jamming and tiling in fragmentation of rectangles.

Physical review. E·2019
Same author

Extinction and survival in two-species annihilation.

Physical review. E·2018
Same author

Kinetics of aggregation with choice.

Physical review. E·2017
Same author

Scaling exponents for ordered maxima.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same author

Slow kinetics of Brownian maxima.

Physical review letters·2014

Area of Science:

  • Statistical physics
  • Soft matter physics
  • Nonlinear dynamics

Background:

  • Granular materials exhibit complex behaviors under external stimuli.
  • Understanding the dynamics of topological defects like knots is crucial in various physical systems.

Purpose of the Study:

  • To experimentally investigate the statistical properties of knot opening times in vertically vibrated granular chains.
  • To compare experimental data with a theoretical model of interacting random walks.

Main Methods:

  • Experimental setup involving vertically vibrated granular chains.
  • Measurement of knot opening times and their statistical distributions.
  • Comparison with a theoretical model based on three random walks with hard-core exclusion.

Main Results:

  • Experimental measurements show good qualitative and quantitative agreement with the theoretical model.
  • Knot survival probability follows a universal scaling function, independent of chain length.
  • Diffusive characteristic time scale observed, with exponential suppression in both large- and small-exit-time tails.

Conclusions:

  • The theoretical model accurately describes the statistical properties of knot opening times in vibrated granular chains.
  • The observed universal scaling and exponential suppression highlight fundamental aspects of topological defect dynamics in granular systems.

Related Experiment Videos