Decay Process Model
written by
Kostas Papamichalis
In this application we study the evolution of a system consisted of N=800 identical, but discrete, cells placed at the vertices of a lattice. Each cell can exist in one of two states A or B. If at time t the j-cell is in state A, the probability p to get transitioned to the state B in the infinitesimal interval [t,t+Dt] equals wDt, where w is a real constant, named "transition probability per unit time". The value of w is chosen by the user. However, if at time t the j-cell is in state B, it remains in state B with probability 1.
In the simulation a cell is in the state A if its color is orange, and in B if its color is purple. By playing the simulation, we see in real time the transition of each individual cell from state A to state B. The transition happens or not, in one of the time-intervals [tk,tk+Dt], where k=0,1,2,... and Dt=0.1. The decision of each transition is taken by using the random-number generator of JavaScript, with probability p=wDt. In the adjacent, right-sided window, we see two graphs concerning the change with time of a certain Lyapunov functional corresponding to the master equation which describes the evolution of the system toward its equilibrium state. The red graph is the theoretical prediction. The blue one is the experimental graph achieved by counting the cells in state A in real time. The main objective of the simulation is to compare the theoretical predictions with the experimental results.
ComPADRE is beta testing Citation Styles!
Record Link
<a href="https://www.compadre.org/portal/items/detail.cfm?ID=16674">Papamichalis, Kostas. Decay Process Model. 2023.</a>
AIP Format
K. Papamichalis, (2023), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16674&DocID=5842).
AJP/PRST-PER
K. Papamichalis, Decay Process Model (2023), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16674&DocID=5842>.
APA Format
Papamichalis, K. (2023). Decay Process Model. Retrieved August 5, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16674&DocID=5842
Chicago Format
Papamichalis, Kostas. Decay Process Model. 2023. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16674&DocID=5842 (accessed 5 August 2024).
MLA Format
Papamichalis, Kostas. Decay Process Model. 2023. 5 Aug. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16674&DocID=5842>.
BibTeX Export Format
@misc{
Author = "Kostas Papamichalis",
Title = {Decay Process Model},
Volume = {2024},
Number = {5 August 2024},
Year = {2023}
}
Refer Export Format
%A Kostas Papamichalis %T Decay Process Model %D 2023 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16674&DocID=5842 %O text/html
EndNote Export Format
%0 Electronic Source %A Papamichalis, Kostas %D 2023 %T Decay Process Model %V 2024 %N 5 August 2024 %9 text/html %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16674&DocID=5842 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. Decay Process Model:
Is Based On
Easy Java Simulations Modeling and Authoring Tool
Use the Easy Java Simulations Modeling and Authoring Tool to edit and to explore the source code for the Decay Process Model. relation by Wolfgang ChristianKnow of another related resource? Login to relate this resource to it. |
ContributeRelated MaterialsSimilar Materials |