Boltzmann Distribution from a Microcanonical Ensemble Model
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.
1 supplemental document is available
Discrete Boltzmann Distribution Model
A discrete version of the Microcanonical Boltzmann Distribution Model, which partitions energy as discrete quanta rather than allowing the energy to be distribute continuously. download 1344kb .jar Last Modified: August 4, 2014 previous versions
2 source code documents are available
Boltzmann Distribution from a Microcanonical Ensemble Source Code
The source code zip archive contains an EJS-XML representation of the Boltzmann Distribution from a Microcanonical Ensemble Model. Unzip this archive in your EJS workspace to compile and run this model using EJS. download 7kb .zip Last Modified: November 22, 2011
Discrete Boltzmann Distribution Source Code
The source code zip archive contains an EJS-XML representation of the Discrete Boltzmann Distribution Model. Unzip this archive in your EJS workspace to compile and run this model using EJS. download 8kb .zip Last Modified: August 4, 2014
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Record Link
<a href="https://www.compadre.org/portal/items/detail.cfm?ID=11563">Engelhardt, Larry, and Norman Chonacky. "Boltzmann Distribution from a Microcanonical Ensemble Model."</a>
AIP Format
L. Engelhardt and N. Chonacky, Computer Program BOLTZMANN DISTRIBUTION FROM A MICROCANONICAL ENSEMBLE MODEL (2011), WWW Document, (https://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), <https://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 May 8, 2024, from https://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." https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11563&DocID=2483 (accessed 8 May 2024).
MLA Format
Engelhardt, Larry, and Norman Chonacky. Boltzmann Distribution from a Microcanonical Ensemble Model. Computer software. 2011. Java 1.5. 8 May 2024 <https://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 https://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 https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11563&DocID=2483 Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
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. This resource is stored in a shared folder. You must login to access shared folders. 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 CoxKnow of another related resource? Login to relate this resource to it. |
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