Comparing the dynamics of three types of lattice-bound active particles

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dc.contributor.advisor Chakraborty, Bulbul
dc.contributor.author Tarr, Steven
dc.date.accessioned 2019-05-14T15:42:35Z
dc.date.available 2019-05-14T15:42:35Z
dc.date.issued 2019
dc.identifier.uri https://hdl.handle.net/10192/36664
dc.description.abstract We analyze and compare the dynamics of three types of active particles on a square lattice. These cases include a ballistic particle with fixed persistence, a diffusive particle which changes its persistence randomly, and a diffusive particle which changes its persistence deterministically. We derive analytical expressions for the drift velocity and mean squared displacement of each of these particles when motion is completely unobstructed and address the non-stochastic particle through a limiting case on its rotation rate. Through Monte Carlo simulations, we verify our derivations and probe the foundational single particle dynamics. We find that in the low rotation rate limit, the second and third types behave similarly to the ballistic particle, while in the high rotation rate limit, the third type’s effective diffusion rate goes to a fixed minimum value regardless of its thermal and persistence rates. Additionally, we find the effect of the non-stochasticity on particle motion is to slow the effective diffusion rate compared to the particle which changes its persistence randomly by a term proportional to the square of the difference of the thermal and persistence rates and inversely proportional to the rotation rate.
dc.format.mimetype application/pdf
dc.language English
dc.language.iso en
dc.publisher Brandeis University
dc.relation.ispartofseries Brandeis University Theses and Dissertations
dc.rights Copyright by Steven Tarr 2019
dc.title Comparing the dynamics of three types of lattice-bound active particles
dc.type Thesis
dc.contributor.department Department of Physics
dc.degree.name BS
dc.degree.level Bachelors
dc.degree.discipline Physics
dc.degree.grantor Brandeis University, School of Arts and Sciences


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