The three-dimensional Ising Checkerboard Decomposition model solves the Ising model on a parallel computer by partitioning the spin lattice into alternating squares, as on a red and black checkerboard, and uses the property that squares of the same partition only interact with neighboring squares of the opposite partition. Using a lattice with one million sites, we use a parallel loop to test half a million configurations by flipping squares of a single partition before switching to the other partition.

The parallel loop used in this simulation behaves like a standard loop except that iterations are performed concurrently on separate processors. Additional windows display a cross section through the cubical spin lattice and a histogram showing how may spin flips are performed by each thread.

The Ising 3D Checkerboard Decomposition Model was developed using the Easy Java Simulations (Ejs) modeling tool. It is distributed as a ready-to-run (compiled) Java archive. Double clicking the jar file will run the program if Java is installed.

Please note that this resource requires
at least version 1.6 of
Java (JRE).

Ising 3D Checkerboard Decomposition Source Code
The source code zip archive contains an XML representation of the Ising 3D Checkerboard Decomposition Model. Unzip this archive in your Ejs workspace to compile and run this model using Ejs. download 144kb .zip
Last Modified: August 10, 2014
previous versions

W. Christian, Computer Program ISING 3D CHECKERBOARD DECOMPOSITION MODEL, Version 1.0 (2013), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13033&DocID=3602).

W. Christian, Computer Program ISING 3D CHECKERBOARD DECOMPOSITION MODEL, Version 1.0 (2013), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13033&DocID=3602>.

Christian, W. (2013). Ising 3D Checkerboard Decomposition Model (Version 1.0) [Computer software]. Retrieved May 2, 2016, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13033&DocID=3602

Christian, Wolfgang. "Ising 3D Checkerboard Decomposition Model." Version 1.0. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13033&DocID=3602 (accessed 2 May 2016).

%A Wolfgang Christian %T Ising 3D Checkerboard Decomposition Model %D October 14, 2013 %U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13033&DocID=3602 %O 1.0 %O application/java

%0 Computer Program %A Christian, Wolfgang %D October 14, 2013 %T Ising 3D Checkerboard Decomposition Model %7 1.0 %8 October 14, 2013 %U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13033&DocID=3602

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The Easy Java Simulations Modeling and Authoring Tool is needed to explore the computational model used in the Ising 3D Checkerboard Decomposition Model.