The emergence of complexity in a common scotch roller

Contextual Informations

The fracture is a very complicated phenomenon and its dynamics is not well described, until today, by a consistent physical and/or mathematical model. In this paper we synthetically present the main experimental and theoretical results for the peeling of an adhesive tape, i.e. a viscoelastic dissipative system, viewed as a two dimensional fracture propagation. Varying the control parameter the crack dynamics appears stable in a first branch of the state curve, unstable in a second branch with stick-slip propagation, and finally again stable, but very rapid, in a third region. The unstable stick-slip dynamics becomes more and more irregular increasing the control parameter and exhibits different behaviors with transitions between periodic, aperiodic and disordered regimes. In an experiment recently performed at ESPCI-PMMH (Paris, France), the emergence of hierarchical structures in a broad range of time scales was observed in a definite region of the stick-slip regime, and this is one the indicators commonly used speaking of complex systems. At last, we underline that we do not still have a complete mathematical description of empirical data and that we lack a physical model able to explain the observed complex dynamics.

Ciccotti M. and Giorgini B. The emergence of complexity in a common scotch roller. In: Symétries, brisures de symétries et complexité. Edited by L. Boi (Peter Lang, Bern, 2006) pp. 187-216.


See also...

Capillary condensation in confined media

E. Charlaix and M. Ciccotti, 2010. Capillary condensation in confined media. In Handbook of Nanophysics: Principles and Methods. Ed. Klaus (...) 

> More...

Earthquake Science and Seismic Risk Reduction

Associate Editor of the book: Earthquake Science and Seismic Risk Reduction. NATO SCIENCE SERIES: IV: Earth and Environmental Sciences Volume 32. (...) 

> More...