Ising Model WWW References
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This is a first attempt at sorting through some of the Ising Model
material available on the World Wide Web. (A simple search for "Ising
Model" using HotBot returned more
than 1,300 documents!)
Some Spin-Flipping Applets
The model of flipping individual spin sites would appear to be an
attractive "sample problem" for Java practitioners. "Interactive" sites
include the following:
-
Best Ising Applet
- A nice presentation of flipping spins and current estimates of system
energy and magnetization. This demonstration allows the
user to change the temperature and watch the evolution of
a small (32x32) spin system. Taken from the WWW site of
Dr. A. Peter Young,
Deparment of Physics, UC Santa Cruz.
-
"Blinking Light" Ising Simulator
- This site features a very small (8x8) grid and a user-selectable
Temperature scale. There is some brief accompanying discussion.
-
(Alleged) Potts Model Applet
- This is a very simple Java animation of a 20x20 Ising lattice near
its critical temperature. The Potts Model is a genneralization of
the Ising Model in which the spins take a large set of values, such as
{-3,-2,-1,1,2,3} in place of the simple {+1,-1} in the Ising Model. This
applet shows a simple Ising model, not a (general) Potts model.
On-Line Lecture Materials
-
Monte Carlo Simulations In Statistical Physics
- This site (from Syracuse University) presents slides from a series of
Lectures by Paul Coddington. The presentation is quite broad, covering a number
of topics. A subset of the slides gives an overview of the so-called
"Metropolis Algorithm" for Monte Carlo Simulations, as used in the program
associated with this site.
The level of math used/assumed in the slides is not overly advanced. However,
the discussions are very brief - and thus not particularly informative.
-
Cornell University Ising Model Unit
- Part of an advanced physics class developed by James Sethna, this site has some
interesting animated GIFs with, however, only short discussions of the
associated physics.
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Monte Carlo Simulations in Statistical Physics
- This is a reasonably self-contained discussion of Monte Carlo methods which is,
however, a bit heavy on equations.
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Monte Carlo Methods and Simulation
- Another set of fairly terse lecture notes from the Condensed Matter Theory
Group at Imperial College, London, England.