Critical behavior of the 3D Ising model
The Ising model is the simplest model of a magnet, with spins that point only up or down. It was solved exactly in two dimensions in 1944, but in three dimensions its behavior at the critical temperature is known only from numerics.
Why it matters
Its critical exponents also describe liquid-gas critical points and binary liquid mixtures, making it the most tested universality class in nature.
Review
A. Pelissetto, E. Vicari, Critical phenomena and renormalization-group theory, Physics Reports, 2002. https://arxiv.org/abs/cond-mat/0012164 reference checked
Timestamp record
- Signed record
- 19afc80a0459…
- Public log
- Entry 353, in checkpoint 2,123
- In the log by
- Block 969,698, 2026-10-03
This text was in the PubPhys log by that date. The date says nothing about when the problem was first posed.