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Nonlinear physics demo in my office, linked to a class on mode-locked lasers. It takes about 60 seconds to really lock, but once it's there, it stays there! For more about the wonder of synchronisation, read and follow Steven Strogatz

John Dudley

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Shashi Thutupalli profil fotoğrafı

Shashi Thutupalli2 yıl önce

@stevenstrogatz Together with @math_martens we extended this experiment to two coupled populations — they can be in sync and go in phase, anti-phase or the counterintuitive broken symmetry state, with one in sync and the other desynchronised — a chimera

Reto Fiolka profil fotoğrafı

Reto Fiolka2 yıl önce

@stevenstrogatz I mesmerize each time when a laser mode-locks. Some 100k modes that phase-lock for a Ti:Sapph oscillator.

John Dudley profil fotoğrafı

John Dudley2 yıl önce

@stevenstrogatz I talked about this in class yesterday. A laser achieves this in say 1 ms ; to simulate from first principles mode-locking to a steady state from noise on a computer would take quite a lot longer ...

Dr Stacey Vasylchenkova 🇺🇦 profil fotoğrafı

Dr Stacey Vasylchenkova 🇺🇦2 yıl önce

@stevenstrogatz I borrow it as a problem for @IPT_Official can I? We can set it as a problem for students to minimise the synchronization time 😏

John Dudley profil fotoğrafı

John Dudley2 yıl önce

@IPT_Official Yes yes of course. See also James Pantaleone "Synchronization of metronomes," Am. J. Phys 70(10), 992-1000 (2002) ... He outlines the derivation of the underlying model and gives more details. Paper is here:

Vincent Parbelle profil fotoğrafı

Vincent Parbelle2 yıl önce

@stevenstrogatz Why nonlinear, please? I do not see the need of mentioning non-linearity in experiments with any number of couple pendulums. The coupled DE are linear and the search for their eigen-modes use linear algebra too. I am puzzled ☺️

Benjamin Friedrich profil fotoğrafı

Benjamin Friedrich2 yıl önce

@stevenstrogatz And swimming microalgae seemingly use a similar mechanism to coordinate their beating cilia into an efficient breast-stroke - fun work with Veikko Geyer many years back ...

Peter Warwick Morgan profil fotoğrafı

Peter Warwick Morgan2 yıl önce

@stevenstrogatz Is the interaction strength here comparable to the interaction strength for a mode-locked laser? That is, scale-invariantly, does it take ~60 oscillations at ~PHz rates for the optical mode-lock to really lock?

John Dudley profil fotoğrafı

John Dudley2 yıl önce

@stevenstrogatz I have been wondering myself but I don't have an answer ... quantifying interaction strength depends on the type of modelocking and most fs modelocked laser models are not described in the frequency domain anyway. But some estimate should be possible so I am thinking ...

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