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Evolution of Ideal 2D Gas with Gravity JS Model
written by Kostas Papamichalis
The Ideal 2D Gas with Gravity simulation shows the motion of a 2-dimensional ideal gas with N particles confined in an vertical strip of the 2-d Euclidean space, under the action of a constant gravitational field. At t=0 the the gas is far from its equilibrium state: the initial position distribution is uniform in a certain orthogonal region of the strip. The velocities of the particles have random directions and their magnitudes are identical. Because of the particle-particle (p-p) interactions(8,9) and under the action of the gravitational field, the system is moving towards its state of equilibrium.

A supplemental pdf document describes the theoretical model of the 2-dimensional gas and derives the probability distribution in the phase space, which determines its equilibrium state. The time sequence of the position distributions converge to the "exponential atmosphere" and that of the velocities to the Maxwell-Boltzmann distribution. The gas converges to its equilibrium state which is well-defined and independent of the initial state of the gas. In the simulation, we can watch the evolution of the gas towards its equilibrium state. Uses can observe the dependence of the equilibrium position-distribution on the strength of the gravitational field. They can also carry out measurements in the virtual environment, and compare the achieved results with their theoretical predictions.
1 supplemental document is available
1 source code document is available
Subjects Levels Resource Types
Thermo & Stat Mech
- General
- Kinetic and Diffusive Processes
= Kinetic Theory
- Models
= Ideal Gas
- Upper Undergraduate
- Lower Undergraduate
- Instructional Material
= Interactive Simulation
Intended Users Formats Ratings
- Learners
- Educators
- text/html
- application/pdf
- application/javascript
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Free access
License:
This material is released under a Creative Commons Attribution-Noncommercial-Share Alike 4.0 license.
Rights Holder:
Kostas Papamichalis
Record Creator:
Metadata instance created February 16, 2022 by kostas papamichalis
Record Updated:
February 17, 2022 by Wolfgang Christian
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AIP Format
K. Papamichalis, (2022), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15993&DocID=5541).
AJP/PRST-PER
K. Papamichalis, Evolution of Ideal 2D Gas with Gravity JS Model, (2022), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15993&DocID=5541>.
APA Format
Papamichalis, K. (2022). Evolution of Ideal 2D Gas with Gravity JS Model. Retrieved May 21, 2022, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15993&DocID=5541
Chicago Format
Papamichalis, Kostas. Evolution of Ideal 2D Gas with Gravity JS Model. 2022. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15993&DocID=5541 (accessed 21 May 2022).
MLA Format
Papamichalis, Kostas. Evolution of Ideal 2D Gas with Gravity JS Model. 2022. 21 May 2022 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15993&DocID=5541>.
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@misc{ Author = "Kostas Papamichalis", Title = {Evolution of Ideal 2D Gas with Gravity JS Model}, Volume = {2022}, Number = {21 May 2022}, Year = {2022} }
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%A Kostas Papamichalis %T Evolution of Ideal 2D Gas with Gravity JS Model %D 2022 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15993&DocID=5541 %O text/html

EndNote Export Format

%0 Electronic Source %A Papamichalis, Kostas %D 2022 %T Evolution of Ideal 2D Gas with Gravity JS Model %V 2022 %N 21 May 2022 %9 text/html %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15993&DocID=5541


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Evolution of Ideal 2D Gas with Gravity JS Model:

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