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Polish Academy of Sciences

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Andrzej Stasiak

École Polytechnique Federale de Lausanne (CH)


Recent publications
1.  Gruziel M., Thyagarajan K., Dietler G., Stasiak A., Ekiel-Jeżewska M.L., Szymczak P., Periodic Motion of Sedimenting Flexible Knots, PHYSICAL REVIEW LETTERS, ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.121.127801, Vol.121, No.12, pp.127801-1-6, 2018

Abstract:
We study the dynamics of knotted deformable closed chains sedimenting in a viscous fluid. We show experimentally that trefoil and other torus knots often attain a remarkably regular horizontal toroidal structure while sedimenting, with a number of intertwined loops, oscillating periodically around each other. We then recover this motion numerically and find out that it is accompanied by a very slow rotation around the vertical symmetry axis. We analyze the dependence of the characteristic timescales on the chain flexibility and aspect ratio. It is observed in the experiments that this oscillating mode of the dynamics can spontaneously form even when starting from a qualitatively different initial configuration. In numerical simulations, the oscillating modes are usually present as transients or final stages of the evolution, depending on chain aspect ratio and flexibility, and the number of loops.

Affiliations:
Gruziel M. - IPPT PAN
Thyagarajan K. - École Polytechnique Federale de Lausanne (CH)
Dietler G. - École Polytechnique Federale de Lausanne (CH)
Stasiak A. - École Polytechnique Federale de Lausanne (CH)
Ekiel-Jeżewska M.L. - IPPT PAN
Szymczak P. - University of Warsaw (PL)

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