Where Can I Find Exact Results for the Ising Model?

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SUMMARY

The discussion focuses on the Ising model, specifically seeking references for exact results. It highlights that for the 2D Ising model, the correlation length diverges as temperature approaches -1 around the critical temperature. The book "Exactly Solved Models in Statistical Mechanics" by Baxter is recommended for detailed solutions of the 1D and 2D Ising models, although the solutions are complex. It is noted that there are no exact solutions for 3D Ising models.

PREREQUISITES
  • Understanding of statistical mechanics
  • Familiarity with the Ising model
  • Knowledge of correlation length concepts
  • Ability to interpret mathematical models and solutions
NEXT STEPS
  • Read "Exactly Solved Models in Statistical Mechanics" by Baxter
  • Research the derivation of correlation length in the 2D Ising model
  • Explore the limitations of 3D Ising model solutions
  • Investigate other statistical mechanical models solved by Baxter
USEFUL FOR

Researchers, physicists, and students in statistical mechanics, particularly those interested in the Ising model and its applications in understanding phase transitions.

wdlang
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is there any reference on ising model

i would like to see all the exact results on ising model

for 2d ising model, the correlation length diverge as t to -1 around the critical temperature

how is this result derived?
 
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Take a look at the book by Baxter, https://www.amazon.com/dp/0486462714/?tag=pfamazon01-20. It solves the 1d and 2d Ising models exactly, as well as many other statistical mechanical models. Be warned, though, the solutions are quite involved for most of these models! (Also, there are no exactly solved 3d models, in case you were wondering).
 
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