Field theory of active chiral hard disks: A first-principles approach to steric interactions
A first-principles approach for active chiral hard disks is presented, that explicitly accounts
for steric interactions on the two-body level. We derive an effective one-body equation for the …
for steric interactions on the two-body level. We derive an effective one-body equation for the …
Diffusion of finite-size particles in confined geometries
M Bruna, SJ Chapman - Bulletin of mathematical biology, 2014 - Springer
The diffusion of finite-size hard-core interacting particles in two-or three-dimensional
confined domains is considered in the limit that the confinement dimensions become …
confined domains is considered in the limit that the confinement dimensions become …
Large deviations and gradient flows for the Brownian one-dimensional hard-rod system
We study a system of hard rods of finite size in one space dimension, which move by
Brownian noise while avoiding overlap. We consider a scaling in which the number of …
Brownian noise while avoiding overlap. We consider a scaling in which the number of …
[BOOK][B] Diffusion Under the Effect of Lorentz Force
E Kalz - 2022 - Springer
Diffusion as a phenomenon has had a great impact on the development of physics. In 1827
the botanist Robert Brown observed the phenomenon of moving pollens in a solvent [2, 3] …
the botanist Robert Brown observed the phenomenon of moving pollens in a solvent [2, 3] …
Large deviations and gradient flows for the Brownian one-dimensional hard-rod system
We study a system of hard rods of finite size in one space dimension, which move by
Brownian noise while avoiding overlap. We consider a scaling in which the number of …
Brownian noise while avoiding overlap. We consider a scaling in which the number of …
Velocity jump process with volume exclusions in a narrow channel
G Tennakoon, SW Taylor - Physical Review E, 2023 - APS
This paper analyzes the impact of collisions in a system of N identical hard-core particles
driven according to a velocity jump process. The physical space is essentially a channel in R …
driven according to a velocity jump process. The physical space is essentially a channel in R …
[PDF][PDF] Principles for Designing Invention Tasks for Undergraduate Mathematics
Meaningful first interactions with abstract mathematical concepts are crucial for
understanding, yet rare in traditional undergraduate instruction. In this paper, we present five …
understanding, yet rare in traditional undergraduate instruction. In this paper, we present five …
Spatial stochastic modelling of biological processes
A Jones - 2018 - ora.ox.ac.uk
Computational simulation of cellular processes can provide us with important insights into
the dynamics of a cell. In particular, stochastic simulation has proven to be an invaluable tool …
the dynamics of a cell. In particular, stochastic simulation has proven to be an invaluable tool …
Particle-based simulations of reaction-diffusion processes with Aboria
Mathematical models of transport and reactions in biological systems have been traditionally
written in terms of partial differential equations (PDEs) that describe the time evolution of …
written in terms of partial differential equations (PDEs) that describe the time evolution of …
[CITATION][C] Collective motion with excluded-volume effects
G Tennakoon - 2022 - ResearchSpace@ Auckland