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Kostas Papamichalis
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. 
1 primary supplement is available
Boltzmann H-theorem: Approaching Equilibrium ModelThe Approaching Equilibrium model computationally tests the Boltzmann model using a 2D virtual … download 809kb .zip Last Modified: December 1, 2024 previous versions
1 supplemental document is available
Approaching Equilibrium TheoryA theoretical explanation of the Boltzmann H-Theorem Approaching Equilibrium model. download 539kb .pdf Last Modified: December 1, 2024 previous versions
1 source code document is available
Approaching Equilibrium Source CodeThe EJS source code for the Approaching Equilibrium model. download 509kb .zip Last Modified: December 1, 2024 previous versions
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<a href="https://www.compadre.org/portal/items/detail.cfm?ID=15448">Papamichalis, Kostas. Boltzmann H-theorem: Approaching Equilibrium Model. August 19, 2020.</a>
AIP Format
K. Papamichalis, (2020), WWW Document, (http://users.sch.gr/kostaspapamichalis/ejss_model_approachingEquilibrium_a/index.html).
AJP/PRST-PER
K. Papamichalis, Boltzmann H-theorem: Approaching Equilibrium Model (2020), <http://users.sch.gr/kostaspapamichalis/ejss_model_approachingEquilibrium_a/index.html>.
APA Format
Papamichalis, K. (2020, August 19). Boltzmann H-theorem: Approaching Equilibrium Model. Retrieved January 18, 2026, from http://users.sch.gr/kostaspapamichalis/ejss_model_approachingEquilibrium_a/index.html
Chicago Format
Papamichalis, Kostas. Boltzmann H-theorem: Approaching Equilibrium Model. August 19, 2020. http://users.sch.gr/kostaspapamichalis/ejss_model_approachingEquilibrium_a/index.html (accessed 18 January 2026).
MLA Format
Papamichalis, Kostas. Boltzmann H-theorem: Approaching Equilibrium Model. 2020. 19 Aug. 2020. 18 Jan. 2026 <http://users.sch.gr/kostaspapamichalis/ejss_model_approachingEquilibrium_a/index.html>.
BibTeX Export Format
@misc{
Author = "Kostas Papamichalis",
Title = {Boltzmann H-theorem: Approaching Equilibrium Model},
Volume = {2026},
Number = {18 January 2026},
Month = {August 19, 2020},
Year = {2020}
}
Refer Export Format
%A Kostas Papamichalis %T Boltzmann H-theorem: Approaching Equilibrium Model %D August 19, 2020 %U http://users.sch.gr/kostaspapamichalis/ejss_model_approachingEquilibrium_a/index.html %O text/html
EndNote Export Format
%0 Electronic Source %A Papamichalis, Kostas %D August 19, 2020 %T Boltzmann H-theorem: Approaching Equilibrium Model %V 2026 %N 18 January 2026 %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.
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. Boltzmann H-theorem: Approaching Equilibrium Model:
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