Diffusive behaviour and large deviations of one-dimensional active particles with drift

Bachelor thesis (2019)

Authors

B.L. van Gisbergen Applied Sciences

Contributors

F.H.J. Redig Applied Probability - EEMCS (mentor)
J.M. Thijssen QN/Thijssen Group - AS (graduation committee member)
Faculty
Electrical Engineering, Mathematics and Computer Science, Electrical Engineering, Mathematics and Computer Science
Copyright: © 2019 Bart van Gisbergen
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Published Date

03-07-2019

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Abstract

In this thesis a simple model of an active particle was taken, one including a drift according to its internal state. For this model a diffusion coefficient was determined as well as a rate function for the large deviations. This same model is also applied to electrons, although these particles are not active a diffusion coefficient was also found numerically. Finally there is a section on finding the ground state energy of drifting particles with a Hubbard-U term using diffusion Monte Carlo