AboutΒΆ

since 21’ | Deutsche Forschungsgemeinschaft (DFG)

Project: Diffusion and random search in heterogeneous media (pno. 452796171)
Project cordinator: PhD. Trifce Sandev
Research associates: Pece Trajanovski, Kiril Zelenkovski
Subject Area: Statistical Physics, Soft Matter, Biological Physics, Nonlinear Dynamics

A jupyter-book that explores mearly a chunk of the field of nonlinear dynamics, specifically diffusion and random search in heterogeneous media. The book has various simulations for the stochastic process known as Brownian motion. The motion dynamics are simulated by solving the Langevin equation numerically for the different initial parameters. After an ensemble finishes, the trajectories of Brownian particles together with the probability density function and the mean square displacement are plotted. The book has chapters on Brownian search (FATD), Backbone problems, and Stochastic resetting.




Fig: Simple simulation of the Brownian motion [Source]


A dashboard related to the same project is deployed on Heroku, and is avilable at dash_brownian. Note that the dashboard is still under creation and may not be maintained frequently (until Feb 22’).

πŸ“¬ Contact email: @kzelenkovski@manu.edu.mk