Physics of Complex Systems: The Ising Model

We analyse one of the most famous models of statistical physics, which the Ising's Model. Despite being quite simple, it shows very interesting phenomena that is related to the Physics of Complex Systems. This video is intended as a part of a series on Complex Systems. The main references used for this video were:
[1] "Ernst Ising-Physicist and Teacher", written by S. Kobe and published in the Journal of Statistical Physics Vol. 88, August 1997
[2] Ising, E. (1925), "Beitrag zur Theorie des Ferromagnetismus", Z. Phys., 31 (1): 253-258
The music that we used was:
Music by Lukrembo: / lukrembo
Provided by Knowledge Base: bit.ly/2BdvqzN
Legal advice by:
Aduriz Sarabia
Intellectual Property

[@Heatherisfire77]

This was well done and informative while still being quite concise. I appreciate your hard work!

[@criticalpoint7600]

Thanks! We'll keep working to bring you new videos of this kind!

[@teresalazarosanchez]

I love your style

[@nikolayzapryanoff1032]

Nice! 👌👌

[@erenaslan2665]

Thx for doing this.

[@danielsayre3385]

Hey great job

[@factsheet4930]

I put the video on 0.75x I'm so sorry you speak so quickly 🥺

[@orktv4673]

The scale-invariant critical Ising model is breathtaking. I was wondering if there is a relatively simple algorithm that randomly generates such black-and-white structures with infinite correlation length between the sites i.e. the same visual result without painstakingly going through simulations of Ising spins.

[@criticalpoint7600]

Hi! I'm not sure what you want: just to generate an image of the distribution of the spins without having to use a metropolis-type algorithm? On the other hand, the Ising model doesn't have infinite correlation length in general, the divergence in the correlation length just happens near the critical temperature.

[@orktv4673]

@@criticalpoint7600 At the most fundamental level I would like to be able to generate pictures like those of the critical Ising model without numerically computing the actual Ising problem. That means (and I'm not sure if this even makes sense) that we would need some sort of algorithm that produces a probabilistic picture of spins, where the correlation length measured from any site is infinite, just like the critical Ising model. Could something like that exist? And a semi-related question: can scale invariant pictures like this also be created on different topologies like the torus?

[@peabrane8067]

You can try Schramm-Loewner evolution (SLE), if you just one conformal invariant sample.

[@boo9523]

Come on dude, that whistling walk in the rain wasn't necessary??/ lolol. Its fine. thank you!.

[@kratzeni]

Video starts at 1:50

[@danielsayre3385]

thank you

[@eduardogarcia9518]

Gracias, ❤

[@sapsart5143]

Que pasote tron

[@nickallbritton3796]

I get that you're trying to make this video light hearted, but do you not think that it might be in poor taste making a silly animation of a man being dragged away as you describe how fascism overtook europe and forced him to work for the scientific wing of their crimes against humanity? If you would like to be desensitized from this horrifying detail, why wouldn't you just skip it or briefly mention it without the silly voice and animation???