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Gray-Scott Model
Introduction The Gray-Scott model is a rather simple reaction, but can create very interesting patterns and visualisatins, reminiscent of those seen in nature. By using the reaction equations (1) the rate equations can be constructed and used as such. For this, concentration of species was set to zero. (2) These equations can now… Continue reading »
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Bachelor’s Thesis: The Brusselator
“Development of a Python program for investigation of reaction-diffusion coupling in oscillating reactions” Github The Brusselator is a theoretical model for a type of autocatalytic reaction. This project aims aims to solve the brusselator equations and apply them to a two-dimensional cellular automaton. https://github.com/lukaswittmann/brusselator 0 forks. 3 stars. 0 open issues. Recent commits: added english… Continue reading »
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Schrodinger Equation Potential Well Solver
Introduction The goal was to be able to solve the one dimensional Schrodinger’s equation of a particle in a box with a custom potential. This was done by a numeric approach using the Verlet algorithm below. Followed by normalization. This one dimensional solution can easily be extended… Continue reading »
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SRIVD-Model With Vaccinations And Vaccination Breakthrough
Development of a Python program for investigation of epidemic developement Introduction With the idea of wanting insight into the pandemic with the possibility of vaccination breakthroughs, I developed an advanced version of the SRIVD-model. For this, the following iterative algorithm was created: (1) For this, the following variables were used: Below, there is a… Continue reading »
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SRIVD-Model
Development of a Python program for investigation of epidemic developement Introduction This model introduces five possibile states. These are susceptible, recovered, infected, vaccinated and deceased. This adds the possibility of vaccinatons and death to the simulation and extends the SIR model which was described by Zaman and Jung in “ Stability techniques in SIR epidemic… Continue reading »
Lukas Wittmann
I'm a passionate theoretical scientist who finds joy in developing theories and algorithms that try to capture the complex physical nature of chemistry.