Under dynamic scaling, Ising model emerge fractals, which implicate what？

Asked Oct 18 '22 at 15:59

Active Oct 18 '22 at 15:59

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In the lecture note of statistic field theory of David Tong,

Fluctuations occur on all length scales, big and small.

he post a link, a youtube video, which describe the Ising model in different scale, especially in Tc, and display the fractal behavior.

So, I want to know does the fractal & chaos have some relationship with many-body physics?

On the one hand, can we use the tools of chaos to describe strong-correlation physics?

On the other hand, could we use semi-classical chaos theory to describe phase transition?

asked Oct 18 '22 at 15:59

Lau Jack

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. – Community Oct 18 '22 at 16:55
There certainly are connections. If you'd like to see some books touching the subject, you can check the question Statistical Mechanics & Dynamical Systems. – stafusa Oct 19 '22 at 08:57

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