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Title: KNOTS AND RANDOM WALKS IN VIBRATED GRANULAR CHAINS

The authors 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.
Authors:
;
Publication Date:
OSTI Identifier:
768816
Report Number(s):
LA-UR-00-3704
TRN: AH200105%%12
DOE Contract Number:
W-7405-ENG-36
Resource Type:
Conference
Resource Relation:
Conference: Conference title not supplied, Conference location not supplied, Conference dates not supplied; Other Information: PBD: 1 Aug 2000
Research Org:
Los Alamos National Lab., NM (US)
Sponsoring Org:
US Department of Energy (US)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; STATISTICS; MECHANICAL VIBRATIONS; CHAINS; DISTRIBUTION; OPENINGS; PROBABILITY; MATHEMATICAL MODELS; TIME DEPENDENCE