The purpose of the application is to depict the evolution of a 2D toward its equilibrium state and test experimentally the Boltzmann H-theorem. In the sim-window the user can see the motion and the interactions of the gas-particles. The initial distribution is chosen by the user among three alternatives. In the graphs which are composed in real time, the user can see the evolution of the particles' velocity distribution and the variation of the Boltzmann functional H. The convergence of the distribution to the Maxwell-Boltzmann distribution irrespectively of the initial one is impressive. In the H-graph the user can notice the convergence of H to its minimum value corresponding to the Maxwell-Boltzmann distribution. The applet is accompanied by an extensive analysis of the background theoretical model.

Boltzmann H-theorem: Approaching Equilibrium Model The Approaching Equilibrium model computationally tests the Boltzmann model using a 2D virtual …
The Approaching Equilibrium model computationally tests the Boltzmann model using a 2D virtual gas. According to the Boltzmann model, the velocity-distribution of the gas changes with time until it takes the form of the Maxwell-Boltzmann (M-B) distribution, which is stable. The model shows the the motion and the interactions of the gas-particles as well the time evolutionm of the velocity distribution.

Approaching Equilibrium Theory
A theoretical explanation of the Boltzmann H-Theorem Approaching Equilibrium model. download 510kb .pdf
Last Modified: August 19, 2020

Approaching Equilibrium Source Code
The EJS source code for the Approaching Equilibrium model. download 456kb .zip
Last Modified: August 19, 2020
previous versions

K. Papamichalis, Boltzmann H-theorem: Approaching Equilibrium Model (2020), <http://users.sch.gr/kostaspapamichalis/ejss_model_approachingEquilibrium_a/index.html>.

Papamichalis, K. (2020, August 19). Boltzmann H-theorem: Approaching Equilibrium Model. Retrieved August 9, 2024, from http://users.sch.gr/kostaspapamichalis/ejss_model_approachingEquilibrium_a/index.html

%0 Electronic Source %A Papamichalis, Kostas %D August 19, 2020 %T Boltzmann H-theorem: Approaching Equilibrium Model %V 2024 %N 9 August 2024 %8 August 19, 2020 %9 text/html %U http://users.sch.gr/kostaspapamichalis/ejss_model_approachingEquilibrium_a/index.html

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.

Use the Easy Java Simulations Modeling and Authoring Tool to edit and to explore the source code for the Boltzmann H-theorem: Evolution of a 2D gas toward the equilibrium stateBoltzmann H-theorem.