Cascade process of linked quantum vortex loops
نویسندگان
چکیده
Here we present for the first time a detailed study of the cascade process of two linked quantum vortex loops under the Gross-Pitaevskii equation. After a series of successive reconnections the vortex system decays to three distinct loops. Kinetic helicity as well as various geometric and topological properties associated with helicity are examined throughout the reconnection events, providing a complete structural analysis of the whole process.
منابع مشابه
Relaxation of twist helicity in the cascade process of linked quantum vortices.
By numerically solving the three-dimensional Gross-Pitaevskii equation we analyze the cascade process associated with the evolution and decay of a pair of linked vortex rings. The system decays through a series of reconnections to produce finally three unlinked, unfolded, almost planar vortex loops. Total helicity, initially zero, remains unchanged throughout the process. The gradual transfer f...
متن کاملEvolution of quantum vortices following reconnection
The dynamics of quantized vortices, after reconnection, is investigated within the localized induction approximation. The numerical simulations of vortex line evolution help to determine the rate of the line-length changes. In the absence of counterflow, the vortex line shortens after each reconnection and line-length reduction is calculated as a function of the friction parameter α and the rec...
متن کاملTopology of Center Vortices
The topology of center vortices is studied. For this purpose it is sufficient to consider mathematically idealised vortices, defined in a gauge invariant way as closed (infinitely thin) flux surfaces (in D=4 dimensions) which contribute the nth power of a non-trivial center element to Wilson loops when they are n-foldly linked to the latter. In ordinary 3-space generic center vortices represent...
متن کاملCascade process of vortex tangle dynamics in superfluid He without mutual friction
Recently the Kelvin wave cascade process in superfluid He at very low temperatures was discussed. In this mechanism, the dynamics of the waves on the vortex lines plays an important role. In order to investigate this mechanism, we study numerically the dynamics of the waves on the reconnected vortex lines using the full Biot-Savart law. This work shows the reconnection of two vortices leads to ...
متن کاملZ ( 2 ) vortex solution in a field theory
We present a finite energy topological Z(2) vortex solution in a 2 + 1 dimensional SO(3) gauge field theory minimally coupled to a matrix valued Higgs field. The vortex carries a Z(2) magnetic charge and obeys a modulo two addition property. The core of this vortex has a structure similar to that of the Abrikosov vortex appearing in a type II superconductor. The implications of this solution fo...
متن کامل