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Evolution of Ideal 2D Gas with Gravity JS Model
written by
Kostas Papamichalis
| Type: | Main |
|---|---|
| Title: | Evolution of Ideal 2D Gas with Gravity JS Model |
| Description: | 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. |
| Formats: |
Available formats: |
| License: | Creative Commons Attribution-Noncommercial-Share Alike 4.0 |
| Created: | December 27, 2024 at 17:23:49 EST |
| Version Notes: | The .zip file in this document set was updated. Changes: Author update |
| Type: | Main |
|---|---|
| Title: | Evolution of Ideal 2D Gas with Gravity JS Model |
| Description: | 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. |
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| Formats: |
Available formats: |
| License: | Creative Commons Attribution-Noncommercial-Share Alike 4.0 |
| Created: | February 17, 2022 at 17:15:47 EST |
| Version Notes: | The .zip file in this document set was updated. |
| Type: | Main |
|---|---|
| Title: | Evolution of Ideal 2D Gas with Gravity JS Model |
| Description: | 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. |
| Access Restricted To: |
Logged in users.
You may login to access this file.
|
| Formats: |
Available formats: |
| License: | Creative Commons Attribution-Noncommercial-Share Alike 4.0 |
| Created: | February 17, 2022 at 16:59:28 EST |
| Version Notes: | Document set created. |
* These were the rights specified when this version of the document was created. For new downloads, the rights for the document are those attributed to the most recent version.
Evolution of Ideal 2D Gas Documentation
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.
Last Modified December 27, 2024
This file is included in the full-text index.
This file has previous versions.
Evolution of Ideal 2D Gas with Gravity EJS Source Code
Source code for Evolution of Ideal 2D Gas with Gravity JS Model. Open this file using the JavaScript version of EJS.
Released under a Creative Commons Attribution-Noncommercial-Share Alike 4.0 license.
Last Modified December 27, 2024
This file has previous versions.