Or : how can I turn a cicle into a square through wave mediated interactions
Rainbow colored dotwave
These pictures illustrate path memory : in the wake of the drop, there is a superposition of a circular wave due to latest impact and of “line waves” created by the many previous bounces
Dotwave picture on Phys.org
Russian Physicians from Moscow Institute of Physics and Technology have chosen a dotwave.org picture to illustrate an article published on phys.org concerning their latest paper,
Des physiciens russes de l’institut de physique et de technologie de Moscou ont choisi une de mes photos pour illustrer un résumé d’un de leur papier sur les ondes de Faraday publié sur phys.org
Emergent quantization in a square box
Goal of the experiment :
A walking droplet is placed in a square box, at the onset of Faraday thresold.
The trajectory of the droplet is mapped.
In the long time limit, does a self-interference pattern appear ? what’s its shape ? How does it relate to the square cavity surface wave eigen-modes ?
cf. experiment by Bush et al. : in a circular corral
http://dotwave.org/wavelike-statistics-from-pilot-wave-dynamics-in-a-circular-corral/
In short, we try to reproduce the experiment of Bush et al, but in a square box.
First result :
A walking droplet in a square cavity shows random motion, but with time, its trajectory is building a statistic reminiscent of the resonant mode of the cavity.
This can be seen by the naked eye in this movie excerpt :
This is then confirmed with optical tracking measurment of the trajectory :
Trajectory of the walking droplet
The position distribution (~probability density) is then computed :
Probabilty density
PDF Version of this résumé :
Emergent quantization of trajectories in a square box
Uneven Faraday Instability
Faraday instability in a a square container not very well tuned : it has 4 quadrants :
– upper left : a crystal-like pattern
– upper right and lower left : linear pattern
– lower left : below faraday thresold (with a droplet)
Dotwave “art”
Because we like it 🙂
