Finding Resources on Ising Model

In summary, the conversation discusses resources for learning about the Ising Model, including review and expository articles, textbooks, and online sources. The conversation also mentions the relevance of background in math and physics for understanding more advanced materials.
  • #1
donaresh
5
0
Hi, I'm looking for something (books or other), about Ising Model. Can anyone of you help me?
Thank you
 
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  • #2
Introduction to Ising model?

There are some fine review articles and expository articles in various journals. What is your math/phy background?

One important technique is "sampling from the past"; see the UG textbook by Olle Haggstrom, Finite Markov Chains and Algorithmic Applications, LMS Student Texts 52, Cambridge University Press, 2002.
 
  • #3
if you speak german, there is a good book about statistical physics:

W.Nolting: Grundkurs Theoretische Physik 6

you can find there about 20 p concerning the Ising-Modell
 
  • #4
I'm attending the second year of Specialistic degree in Physics (in Italy, I don't know the analogous in US or UK)... so I think I can understand also advanced articles (or at least, I hope...)
 
  • #5
Chandler's book on Stat Mech covers this extensively.
 
  • #6
History of the Lenz-Ising Model by Stephen G. Brush might be a good one, haven't read more than a few pages of it (for a paper) myself though.

Computational Physics by Steven E. Koonin has a few pages on it.

Some percolation theory books might have a page or two on the Ising model too.

In addition, the wikipedia entry is pretty extensive if you're just looking to learn about it

Oh, as for articles, check on arXiv, I'm sure there's some papers on there about the Ising model.
 
  • #7
Thank you!
 

1. What is the Ising Model?

The Ising Model is a mathematical model used to study the behavior of a system composed of interacting particles, such as atoms or spins. It is commonly used in statistical mechanics to study phase transitions and critical phenomena.

2. How do I find resources on the Ising Model?

There are many resources available for studying the Ising Model, including books, articles, and online tutorials. A good place to start is by searching for "Ising Model resources" on a search engine. You can also check out scientific databases like arXiv or ScienceDirect for relevant papers.

3. What are some key concepts related to the Ising Model?

Some key concepts related to the Ising Model include spin interactions, lattice structures, phase transitions, and critical phenomena. It is also important to understand concepts such as energy, entropy, and magnetization in the context of the Ising Model.

4. How is the Ising Model used in scientific research?

The Ising Model is used in a variety of scientific research areas, including physics, chemistry, biology, and computer science. It has been applied to study a wide range of systems, such as magnetic materials, protein folding, and neural networks. It is also used as a benchmark for testing new theoretical and computational methods.

5. Are there any limitations to the Ising Model?

Yes, like any other model, the Ising Model has its limitations. It assumes a simplified system with only nearest-neighbor interactions and does not take into account quantum effects. It also does not account for long-range interactions or fluctuations in temperature. However, it still provides valuable insights into the behavior of many complex systems.

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