✎ Ising Model [The Physics Travel Guide]

You've loaded an old revision of the document! If you save it, you will create a new version with this data.

====== Ising Model ======

<tabbox Intuitive> 
{{ :models:isingmodel.png?nolink&200|}}

The Ising model consists of a linear chain (or lattice) where at each node we have an either an arrow that points upwards or an arrow that points downwards. In the image in the right-hand side a black square means arrow up whereas a white square means arrow down. The force between two neighboring lattice nodes depends on whether they point in the same direction or not.

* The best introduction can be found in Critical point phenomena: universal physics at large length scales by Bruce, A.; Wallace, D. published in the book "The New Physics", edited by P. Davies.
  * Another great introduction can be found [[ http://www.nptel.ac.in/courses/115103028/download/ch4_asm_MODELS_nptel.doc.pdf|here]].
  * See also [[https://www.maa.org/sites/default/files/pdf/upload_library/22/Hasse/00029890.di991727.99p0087h.pdf|An introduction to the Ising model]] by Barry A. Cipra, which is a good introduction for beginners.

----

The Ising model was originally devised as a simplified model of a ferromagnet, but is applicable also in a much broader sense. There is no need to refer to any ferromagnetic setup, but instead the Ising model can be defined completely general.

----

[{{ :models:image_20171011_163300.png?nolink |Source: Where do quantum field theories come from? by McGreevy}}]

[{{ :models:image_20171011_150737.png?nolink |Source: Where do quantum field theories come from? by McGreevy}}]
<tabbox Abstract>

<note tip>
The motto in this section is: //the higher the level of abstraction, the better//.
</note>

The Ising model is the simplest model with a critical point and thus ideal to understand notions like [[advanced_notions:critical_exponent|critical exponents]] and the [[advanced_tools:renormalization_group|renormalization group]] in a simplified setup.

</tabbox>

Please solve the following equation to prove you're human. 113 +11 = Please keep this field empty:

Edit summary

Note: By editing this page you agree to license your content under the following license: CC Attribution-Share Alike 4.0 International

User Tools

Site Tools

Page Tools