51 citations · 137 across the 9 of their papers we have counts for
9 papers
High resolution portrait of the ideal trefoil knot
Sylwester Przybyl, Piotr Pieranski
The shape of the most tight trefoil knot with N=200640 vertices found with an appropriately modified finite element method is analyzed. The high number of vertices makes plots of i…
Reinterpretation of Hall effect in medium with hole
Maciej Oszwaldowski, Piotr Pieranski, Tomasz Berus +1
We reinterpret the distribution of the Hall potential in the Hall bar-with-a-hole that has been found and interpreted by Mani and Klitzing [Appl. Phys. Lett., 64 1262 (1994)]. Our…
The motion of the freely falling chain tip
W. Tomaszewski, P. Pieranski, J. -C. Geminard
The dynamics of the tip of the falling chain is analyzed. Results of laboratory experiments are presented and compared with results of numerical simulations. Time dependences of th…
Ropelength of tight polygonal knots
Justyna Baranska, Piotr Pieranski, Eric J. Rawdon
A physical interpretation of the rope simulated by the SONO algorithm is presented. Properties of the tight polygonal knots delivered by the algorithm are analyzed. An algorithm fo…
Gordian Unknots
P. Pieranski, S. Przybyl, A. Stasiak
Numerical simulations indicate that there exist conformations of the unknot, tied on a finite piece of rope, entangled in such a manner, that they cannot be disentangled to the tor…
On non-measurable sets and invariant tori
Piotr Pieranski, Krzysztof W. Wojciechowski
The question: "How many different trajectories are there on a single invariant torus within the phase space of an integrable Hamiltonian system?" is posed. A rigorous answer to the…