Thesis
Active brownian motion : an agent based study of active brownian particles with energy depots
- Creator
- Rights statement
- Awarding institution
- University of Strathclyde
- Date of award
- 2025
- Thesis identifier
- T17351
- Person Identifier (Local)
- 201588487
- Qualification Level
- Qualification Name
- Department, School or Faculty
- Abstract
- Active Brownian particles (ABPs) are Brownian particles (on the scale of nano- to micro-metres) which are also subject to an additional active component of motion. This may be as a result of a physical propulsion from the particle itself, or as the result of an external force acting upon the particle. One way of modelling these ABPs is through the energy depot (ED) model. ED particles contain an internal depot capable of storing and consuming energy in order to accelerate. We aim to better understand particle behaviour when the depot energy and velocity are independently calculated and improve the clarity in the literature of when the commonly made adiabatic assumption holds. We run agent based simulations of individual particles with energy depots in 1-D and capture the results. By varying the uptake of energy from the surroundings and the rate of consumption, we observe different particle dynamics in the velocity-energy phase-space. We find that when constrained to a single dimension, the depot behaviour becomes more adiabatic as energy uptake and conversion rates increase. We compare our results to the literature and add resolution to behaviours in non-adiabatic parameter regimes where the update rate of depot energy and particle velocity are on the same timescale. Particles are categorised into 4 sub-types dependent on the emergent behaviour from the given input parameters. We note that for non-adiabatic particles there are two emergent behaviours — one near to the stationary points in velocity-energy phase-space where the particle approaches the adiabatic limit; and one at low velocities, where particles exhibit behaviour more similar to a simple Ornstein–Uhlenbeck (OU) particle, or a particle starting from rest. We stochastically model particles switching between these behaviours and model the time distributions as a power law.
- Advisor / supervisor
- Lue, Leo
- Haw, Mark
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PDF of Thesis T17351 | 2025-06-25 | Public | Download |