Scaling Limits of Active Particles

Bachelor thesis (2021)

Authors

S.T. Holtrop Applied Sciences

Contributors

F.H.J. Redig Applied Probability - EEMCS (mentor)
J.M. Thijssen QN/Thijssen Group - AS (mentor)
W.G.M. Groenevelt Analysis - EEMCS (graduation committee member)
T. Idema BN/Timon Idema Lab - AS (graduation committee member)
Faculty
Applied Sciences, Applied Sciences
Copyright: © 2021 Sven Holtrop
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Published Date

06-07-2021

Language

English

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Faculty

Applied Sciences

Abstract

In this thesis, the diffusive limit of active particle motion in Rd is studied via a technique based on homogenisation. Thereafter, this study is extended to active particle motion on a Riemannian manifold.

Furthermore, as an application of active particle motion, a connection is made with the Dirac equation. On the basis of this connection, a Monte Carlo method is developed to find the ground state of a Dirac equation with static potential. The core idea of this method is based on the Diffusion Monte Carlo method for the Schrödinger equation.