We study the formation of knots on a macroscopic ball chain, which is shaken on a horizontal plate at 12 times the acceleration of gravity. We find that above a certain critical length, the knotting probability is independent of chain length, while the time to shake out a knot increases rapidly with chain length. The probability of finding a knot after a certain time is the result of the balance of these two processes. In particular, the knotting probability tends to a constant for long chains.
|Translated title of the contribution||Knotting probability of a shaken ball-chain|
|Article number||Art. no. 052101 Part 1|
|Journal||Physical Review E: Statistical, Nonlinear, and Soft Matter Physics|
|Publication status||Published - Nov 2006|
Bibliographical notePublisher: American Physical Soc
Other identifier: IDS number 110VF