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Gray Scott Reaction Diffusion Model Documents

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Main Document

Gray Scott Reaction Diffusion Model 

written by Wolfgang Christian

The Gray-Scott Reaction Diffusion Model displays the spatial concentration of chemical species U and V under the influence of the reaction U+2V->3V and V->P.  The simulation models this reaction in an open system with a constant addition of U and removal of V due to a flow rate f and with the removal of V by the reaction V->P with reaction rate k.  Combining this autocatalytic process with diffusion results in pattern formation that depends on the f and k rates and on the U and V diffusivities Du and Dv.  This reaction diffusion system has a surprising variety of spatiotemporal patterns when starting in the initial state U=1 and V=0 except for a square grid at the center where U=1/2 and V=1/4.  

The Gray-Scott Reaction Diffusion Model was developed using the Easy Java Simulations (EJS) modeling tool.  It is distributed as a ready-to-run (compiled) Java archive.   Double clicking the jar file will run the program if Java is installed.  You can modify this simulation if you have EJS installed by right-clicking within the map and selecting "Open Ejs Model" from the pop-up menu item.

Published May 26, 2012
Last Modified June 6, 2014

This file has previous versions.

Source Code Documents

Gray Scott Reaction Diffusion Source Code 

The source code zip archive contains an EJS-XML representation of the Gray Scott Reaction Diffusion Model.   Unzip this archive in your EJS workspace to compile and run this model using EJS.

Last Modified May 26, 2012

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