000014012 001__ 14012
000014012 005__ 20161115094008.0
000014012 04107 $$aeng
000014012 046__ $$k2016-08-21
000014012 100__ $$aLiu, Xin
000014012 24500 $$aCascade of vortex knots detected by HOMFLYPT polynomial

000014012 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014012 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014012 506__ $$arestricted
000014012 520__ $$2eng$$aDue to reconnection of neighboring strands superfluid vortex knots seem to undergo a cascade process that consistently reduces topological complexity by stepwise unlinking. Here, by using the HOMFLYPT polynomial recently introduced for fluid knots (Liu & Ricca, 2015), we prove that this cascade process follows a complexity-reducing path detected by a unique, monotonically decreasing sequence of HOMFLYPT numerical values. This result holds true for any sequence of T (2, 2n + 1) torus knots and T (2, 2n) torus links. By this result we demonstrate that the computation of this adapted HOMFLYPT polynomial provides a powerful tool to measure topological complexity of any physical system, and it is useful to investigate relationships between topological complexity and kinetic energy.

000014012 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014012 653__ $$a

000014012 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014012 720__ $$aLiu, Xin
000014012 8560_ $$ffischerc@itam.cas.cz
000014012 8564_ $$s52170$$uhttps://invenio.itam.cas.cz/record/14012/files/PO.FM15-1.11.85.pdf$$yOriginal version of the author's contribution as presented on CD, XMLout( page 1566, code PO.FM15-1.11.85).
000014012 962__ $$r13812
000014012 980__ $$aPAPER