Zeros of the partition function (Yang-Lee and Fisher zeros)

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SUMMARY

The discussion centers on the exploration of the Yang-Lee and Fisher zeros of the partition function, specifically referencing Jon Cardy's book "Scaling and Renormalization in Statistical Physics" and the works of Mehran Kardar. Participants confirm that Kardar's texts delve into critical point behavior and provide detailed analyses of high and low temperature expansions of the 2-D Ising model. These resources are deemed relevant for understanding the topic at hand.

PREREQUISITES
  • Familiarity with partition functions in statistical mechanics
  • Understanding of critical point behavior in phase transitions
  • Knowledge of the 2-D Ising model
  • Basic concepts of scaling and renormalization in physics
NEXT STEPS
  • Study Jon Cardy's "Scaling and Renormalization in Statistical Physics" for foundational concepts
  • Examine Mehran Kardar's books for insights on critical point behavior
  • Research the mathematical derivations of Yang-Lee and Fisher zeros
  • Explore high and low temperature expansions in the context of the 2-D Ising model
USEFUL FOR

Researchers, physicists, and students interested in statistical mechanics, particularly those focusing on phase transitions and critical phenomena.

diegzumillo
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Hey there,

Just wondering where I can get a nice treatment of this with derivations. I could swear I read about this in Jon Cardy's Scaling and renormalization in statistical physics but I can't find it again so maybe I was wrong.
 
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Both of Kardar's books deal with examining critical point behavior. The second book goes into more detail with high and low temperature expansions of the 2-D Ising model. Is this along the lines of what you are looking for?
 
NFuller said:
Is this along the lines of what you are looking for?
It certainly is. I'll give it a look to see if it has useful details for me.
 

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