scholarly journals Structure of a quantum vortex tangle in4He counterflow turbulence

2014 ◽  
Vol 89 (1) ◽  
Author(s):  
Luiza Kondaurova ◽  
Victor L'vov ◽  
Anna Pomyalov ◽  
Itamar Procaccia
Keyword(s):  
Quantum Vortex ◽  
Vortex Tangle

scholarly journals Sound emission and annihilations in a programmable quantum vortex collider

Nature ◽  
2021 ◽  
Vol 600 (7887) ◽  
pp. 64-69
Author(s):  
W. J. Kwon ◽  
G. Del Pace ◽  
K. Xhani ◽  
L. Galantucci ◽  
A. Muzi Falconi ◽  
...  
Keyword(s):  
Sound Emission ◽  
Quantum Vortex

scholarly journals Phase dynamics of periodic waves leading to the Kadomtsev–Petviashvili equation in 3+1 dimensions

2015 ◽  
Vol 471 (2178) ◽  
pp. 20150137 ◽  
Author(s):  
Daniel J. Ratliff ◽  
Thomas J. Bridges
Keyword(s):  
Phase Modulation ◽  
Space Dimension ◽  
Travelling Waves ◽  
Wave Action ◽  
Periodic Waves ◽  
Kp Equation ◽  
Modulation Equation ◽  
Phase Dynamics ◽  
Quantum Vortex ◽  
Petviashvili Equation

The Kadomstev–Petviashvili (KP) equation is a well-known modulation equation normally derived by starting with the trivial state and an appropriate dispersion relation. In this paper, it is shown that the KP equation is also the relevant modulation equation for bifurcation from periodic travelling waves when the wave action flux has a critical point. Moreover, the emergent KP equation arises in a universal form, with the coefficients determined by the components of the conservation of wave action. The theory is derived for a general class of partial differential equations generated by a Lagrangian using phase modulation. The theory extends to any space dimension and time, but the emphasis in the paper is on the case of 3+1. Motivated by light bullets and quantum vortex dynamics, the theory is illustrated by showing how defocusing NLS in 3+1 bifurcates to KP in 3+1 at criticality. The generalization to N >3 is also discussed.

Sign in / Sign up

Export Citation Format

Share Document