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Fermi-Pasta-Ulam Model
written by Wolfgang Christian
The Fermi-Pasta-Ulam (FPU) problem is named after the numerical experiments first performed by Enrico Fermi, John Pasta, and Stanislaw Ulam in the summer of 1953 on the Los Alamos MANIAC computer, one of the first electronic computers. They wanted to understand how a one-dimensional crystal evolves toward thermal equilibrium by simulating a chain of particles coupled by spring-like forces that included quadratic and cubic interactions. It was assumed that these nonlinear terms would cause the system to "thermalize" by redistributing energy from an initial mode into many other modes. In other words, an initial mode of vibration would quickly become more or less random.

The Fermi-Pasta_Ulam model was created using the Easy Java Simulations (Ejs) modeling tool.  It is distributed as a ready-to-run (compiled) Java archive.  Double clicking the ejs_sto_FPU.jar file will run the program if Java is installed.  Ejs is a part of the Open Source Physics Project and is designed to make it easier to access, modify, and generate computer models.  Additional Ejs models for statistical and thermal physics are available.  They can be found by searching ComPADRE for Open Source Physics, OSP, or Ejs.

Please note that this resource requires at least version 1.5 of Java.
1 source code document is available
Subjects Levels Resource Types
Oscillations & Waves
- Oscillations
= Coupled Oscillations
= Non-Linear Systems
Thermo & Stat Mech
- Kinetic and Diffusive Processes
= Approach to Equilibrium
= Ergodicity
- Upper Undergraduate
- Graduate/Professional
- Lower Undergraduate
- Instructional Material
= Interactive Simulation
Intended Users Formats Ratings
- Learners
- Educators
- Professional/Practitioners
- application/java
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Access Rights:
Free access
Program released under GNU-GPL. Narrative is copyrighted.
License:
This material is released under a GNU General Public License Version 3 license.
Rights Holder:
Wolfgang Christian
Keywords:
Fermi-Pasta-Ulam, coupled oscillators, oscillations, waves
Record Creator:
Metadata instance created April 21, 2008 by Wolfgang Christian
Record Updated:
June 6, 2014 by Andreu Glasmann
Last Update
when Cataloged:
April 21, 2008
Other Collections:

ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
W. Christian, Computer Program FERMI-PASTA-ULAM MODEL, Version 1.0 (2008), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=6891&DocID=309).
AJP/PRST-PER
W. Christian, Computer Program FERMI-PASTA-ULAM MODEL, Version 1.0 (2008), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=6891&DocID=309>.
APA Format
Christian, W. (2008). Fermi-Pasta-Ulam Model (Version 1.0) [Computer software]. Retrieved March 19, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=6891&DocID=309
Chicago Format
Christian, Wolfgang. "Fermi-Pasta-Ulam Model." Version 1.0. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=6891&DocID=309 (accessed 19 March 2024).
MLA Format
Christian, Wolfgang. Fermi-Pasta-Ulam Model. Vers. 1.0. Computer software. 2008. Java 1.5. 19 Mar. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=6891&DocID=309>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian", Title = {Fermi-Pasta-Ulam Model}, Month = {April}, Year = {2008} }
Refer Export Format

%A Wolfgang Christian %T Fermi-Pasta-Ulam Model %D April 21, 2008 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=6891&DocID=309 %O 1.0 %O application/java

EndNote Export Format

%0 Computer Program %A Christian, Wolfgang %D April 21, 2008 %T Fermi-Pasta-Ulam Model %7 1.0 %8 April 21, 2008 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=6891&DocID=309


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Citation Source Information

The AIP Style presented is based on information from the AIP Style Manual.

The APA Style presented is based on information from APA Style.org: Electronic References.

The Chicago Style presented is based on information from Examples of Chicago-Style Documentation.

The MLA Style presented is based on information from the MLA FAQ.

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Fermi-Pasta-Ulam Model:

Covers the Same Topic As STP Fermi-Pasta-Ulam Program

The Open Source program, part of a package of resources for Statistical and Thermal Physics, provides a similar simulation.

relation by Anne Cox
Is Based On Easy Java Simulations Modeling and Authoring Tool

The Ejs tool is needed to explore the computational model.

relation by Anne Cox

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