The Renormalisation Group

Three Ising model configurations each with 2^34 spins. All are close to the critical point and all look critical. As we zoom out we block more and more spins into each pixel and the configurations just off the critical point flow away to the fixed point phases.

[TheGonneman]

Douglas, this video is terrific! I showed it to some high school students (giving credit to you of course) during an outreach talk on conformal symmetry that I was giving. They were all very impressed.

[KhaledAbdelhameedyasein]

This is the same visualization I imagined deep into my head and you just made it real. Thank you for asserting me that I'm on the right track of thoughts.

[pafloxyq]

After all that time I spent sharpening my code to sample the Transition temperature....I never ever realized the AMAZING thing going on in here ....Thank you very much for this video...And Thanks to Simon DeDeo for bringing us here...

[litostatico]

Renormalizable=Fractal. Amazing resolutions achieved, to see self-similarity clearly. Very impressed and terribly pedagogical video. Thanks!

[ecd]

Thanks for this resource. Working on a Renormalization Group project right now and this video, alongside the accompanying notes, were tremendously helpful.

[yamansanghavi]

This video is a freaking treasure. Thanks a lot sir.

[sdedeo]

Congratulations on an extremely elegant presentation!

[turel]

I know most people in here are pretty smart, scientific and logical in nature, but I hope you can find my philosophical and metaphysical thoughts regarding this video quite interesting too. I believe this model represents the fundamental nature of the universe and the truths about it. It's a perfect balance between chaos and order that creates life and consciounsess possible and the universe inhabitable. And it's what yin yang's message is ultimately about. Even to the question whether there is a single truth, there is a twofold answer. This video represents that concept at a very fundamental scale

[MrNbless]

OMG!! This is an excellent animation for understanding RG and critical point, very useful!
thanks a lot!

[xSnipod]

This is so awesome! Thank you! And also for the great explanations on your blog.

[we]

Hi Douglas. Thank you so much for this video. I am just wondering does this video mean there are two "local minima" (T>Tc or T<Tc) and one "local maximum" (unstable point at T=Tc)? Thank you!

[micheleguerrini]

So, is a critical point always a fixed point ?

[filipchudzynski]

Hey,
really great visualization. I have a question, I'm a bit confused with what exactly are you doing here and I really want to redo it. Are you starting in each simulation with 2^34 spin, but just zoom to the window size of L? As you zoom out, at fixed points of L you just swap your original grid with one, which is approximated with voting?

I'm currently writing my thesis on criticality in the financial markets and I wanted to use Ising model, as a starting point to show, why invariance is a hallmark of criticality. I wanted to find a distribution of cluster sizes and show, that this distribution is invariant with respect to scale for critical temperature.

[huberta]

This was very good. Thank you very much. It helped me a lot.

[karstenhannes]

Hey Douglas! I am working with the ising model for my master thesis! CAN I USE SCREENSHOTS OF THIS VIDEO IN MY THESIS? Of course I would cite you! That would be awesome :-)