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written by Larry Engelhardt and Norman Chonacky
The Boltzmann Distribution From A Microcanonical Ensemble Model allows students and instructors to explore why the Boltzmann distribution has its characteristic exponential shape.  In this model, particles have only one degree of freedom–the energy to move in one dimension. Further, the density of accessible states is chosen to be uniform –i.e. each state is equally probable.  Starting with a system of N=2 particles, you are able to generate simple empirical results for the distribution of energies among the individual particles.  Then you can observe how this distribution changes with increasing N, gradually approaching the Boltzmann distribution.  

The Boltzmann Distribution From A Microcanonical Ensemble 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 ejs_fmu_BoltzmannDistribution_PartitioningEnergy.jar file will run the program if Java is installed.  You can modify this simulation if you have EJS installed by right-clicking within the map and selecting "Open Ejs Model" from the pop-up menu item.

Please note that this resource requires at least version 1.5 of Java.
View the source code document attached to this resource
Subjects Levels Resource Types
Thermo & Stat Mech
- Ensembles
= Boltzmann Distribution
- Upper Undergraduate
- Lower Undergraduate
- Instructional Material
= Curriculum support
= Interactive Simulation
= Lecture/Presentation
Intended Users Formats Ratings
- Learners
- Educators
- application/java
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Access Rights:
Free access
License:
This material is released under a GNU General Public License Version 3 license.
Rights Holder:
Larry Engelhardt
PACSs:
01.50.hv
05.10.-a
07.05.Tp
05.20.-y
Record Cloner:
Metadata instance created November 22, 2011 by Wolfgang Christian
Record Updated:
January 8, 2013 by Anne Cox
Last Update
when Cataloged:
October 22, 2011
Other Collections:

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Record Link
AIP Format
L. Engelhardt and N. Chonacky, Computer Program BOLTZMANN DISTRIBUTION FROM A MICROCANONICAL ENSEMBLE MODEL (2011), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11563&DocID=2483).
AJP/PRST-PER
L. Engelhardt and N. Chonacky, Computer Program BOLTZMANN DISTRIBUTION FROM A MICROCANONICAL ENSEMBLE MODEL (2011), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11563&DocID=2483>.
APA Format
Engelhardt, L., & Chonacky, N. (2011). Boltzmann Distribution from a Microcanonical Ensemble Model [Computer software]. Retrieved April 16, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11563&DocID=2483
Chicago Format
Engelhardt, Larry, and Norman Chonacky. "Boltzmann Distribution from a Microcanonical Ensemble Model." http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11563&DocID=2483 (accessed 16 April 2014).
MLA Format
Engelhardt, Larry, and Norman Chonacky. Boltzmann Distribution from a Microcanonical Ensemble Model. Computer software. 2011. Java 1.5. 16 Apr. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11563&DocID=2483>.
BibTeX Export Format
@misc{ Author = "Larry Engelhardt and Norman Chonacky", Title = {Boltzmann Distribution from a Microcanonical Ensemble Model}, Month = {October}, Year = {2011} }
Refer Export Format

%A Larry Engelhardt
%A Norman Chonacky
%T Boltzmann Distribution from a Microcanonical Ensemble Model
%D October 22, 2011
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11563&DocID=2483
%O application/java

EndNote Export Format

%0 Computer Program
%A Engelhardt, Larry
%A Chonacky, Norman
%D October 22, 2011
%T Boltzmann Distribution from a Microcanonical Ensemble Model
%8 October 22, 2011
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11563&DocID=2483


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Boltzmann Distribution from a Microcanonical Ensemble 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 Boltzmann Distribution from a Microcanonical Ensemble Model.

relation by Anne Cox

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