The Fokker-Planck Equation for Active Matter

dc.rights.license	CC-BY-NC-ND
dc.contributor.advisor	Roij, R.H.H.G. van
dc.contributor.advisor	Frank, J.E.
dc.contributor.advisor	Rodenburg, A.J.
dc.contributor.author	Haas, R.P. de
dc.date.accessioned	2017-07-19T17:01:34Z
dc.date.available	2017-07-19T17:01:34Z
dc.date.issued	2017
dc.identifier.uri	https://studenttheses.uu.nl/handle/20.500.12932/26192
dc.description.abstract	The laws of thermodynamics of colloidal particles are well understood in equilibrium. When these colloidal particles swim by themselves, i.e. due to some chemical reaction, they are called active. Systems with active particles are not in equilibrium and the laws of thermodynamics no longer hold. Starting with the Langevin equations we derive the corresponding Fokker-Planck equation. We focus on 2 dimensional systems in the low density limit and with a low swimming speed. When we investigate the asymptotic behavior of the density of particles near a wall and the two-body correlation function, we conclude the correlation length is not universal, in contrast to equilibrium (de Carvalho and Evans, 1994).
dc.description.sponsorship	Utrecht University
dc.format.extent	4740181
dc.format.mimetype	application/pdf
dc.language.iso	en
dc.title	The Fokker-Planck Equation for Active Matter
dc.type.content	Master Thesis
dc.rights.accessrights	Open Access
dc.subject.keywords	Fokker, Planck, active, matter, Langevin, correlation, length, function, Fokker-Planck, self-propulsion
dc.subject.courseuu	Theoretical Physics