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Brute Force Microstates Model
written by Wolfgang Christian, Trisha Salagaram, and Nithaya Chetty
The Brute Force Microstates model considers an isolated system consisting of N identical, non-interacting quantum particles.  We wish to determine the total number of system microstates accessible to the system with energy E and hence the entropy.  This model is a supplemental simulation for the article "Enhancing the understanding of entropy through computation" in the American Journal of Physics 79(11), 1127-1132 (2011).
For distinguishable particles, the simplest brute force method that can be devised involves N nested loops, each over the list of single particle energy levels. This results in a computational scheme that scales exponentially with the system size. Still, this is an instructive method to apply because it shows the rapid increase in the number of microstates for moderate N, and the corresponding exponential increase in computational time.  The model displays the computation time as users to vary the number of particles N and the total energy E.

The Brute Force Microstates model was developed by Wolfgang Christian, Trisha Salagaram, and Nithaya Chetty using the Easy Java Simulations (Ejs) modeling tool.  It is distributed as a ready-to-run (compiled) Java archive.  Double clicking the  ejs_stp_BruteForceMicrostates.jar file will run the program if Java is installed.

Please note that this resource requires at least version 1.5 of Java.
1 source code document is available
Subjects Levels Resource Types
Mathematical Tools
- Probability
- Statistics
Thermo & Stat Mech
- Second and Third Law
= Entropy
- Upper Undergraduate
- Lower Undergraduate
- Instructional Material
= Interactive Simulation
Intended Users Formats Ratings
- Learners
- Educators
- application/java
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Access Rights:
Free access
Program released under GNU-GPL. Narrative is copyrighted.
This material is released under a GNU General Public License Version 3 license.
Rights Holder:
Wolfgang Christian
statistical mechanics
Record Cloner:
Metadata instance created July 30, 2011 by Wolfgang Christian
Record Updated:
June 2, 2014 by Andreu Glasmann
Last Update
when Cataloged:
July 30, 2011
ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
W. Christian, T. Salagaram, and N. Chetty, Computer Program BRUTE FORCE MICROSTATES MODEL, Version 1.0 (2011), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11353&DocID=2350).
W. Christian, T. Salagaram, and N. Chetty, Computer Program BRUTE FORCE MICROSTATES MODEL, Version 1.0 (2011), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11353&DocID=2350>.
APA Format
Christian, W., Salagaram, T., & Chetty, N. (2011). Brute Force Microstates Model (Version 1.0) [Computer software]. Retrieved July 21, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11353&DocID=2350
Chicago Format
Christian, W, T. Salagaram, and N. Chetty. "Brute Force Microstates Model." Version 1.0. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11353&DocID=2350 (accessed 21 July 2024).
MLA Format
Christian, Wolfgang, Trisha Salagaram, and Nithaya Chetty. Brute Force Microstates Model. Vers. 1.0. Computer software. 2011. Java 1.5. 21 July 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11353&DocID=2350>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian and Trisha Salagaram and Nithaya Chetty", Title = {Brute Force Microstates Model}, Month = {July}, Year = {2011} }
Refer Export Format

%A Wolfgang Christian %A Trisha Salagaram %A Nithaya Chetty %T Brute Force Microstates Model %D July 30, 2011 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11353&DocID=2350 %O 1.0 %O application/java

EndNote Export Format

%0 Computer Program %A Christian, Wolfgang %A Salagaram, Trisha %A Chetty, Nithaya %D July 30, 2011 %T Brute Force Microstates Model %7 1.0 %8 July 30, 2011 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11353&DocID=2350

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Brute Force Microstates Model:

Is Based On Easy Java Simulations Modeling and Authoring Tool

The Easy Java Simulations Modeling and Authoring Tool is needed to explore the computational model used in the Brute Force Micostates Model.

relation by Wolfgang Christian

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