English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study analytically how noninteracting weakly active particles, for whichpassive Brownian diffusion cannot be neglected and activity can be treatedperturbatively, distribute and behave near boundaries in various geometries. Inparticular, we develop a perturbative approach for the model of activeparticles driven by an exponentially correlated random force (activeOrnstein-Uhlenbeck particles). This approach involves a relatively simpleexpansion of the distribution in powers of the P\'{e}clet number and in termsof Hermite polynomials. We use this approach to cleanly formulate boundaryconditions, which allows us to study weakly active particles in severalgeometries: confinement by a single wall or between two walls in 1D,confinement in a circular or wedge-shaped region in 2D, motion near acorrugated boundary, and finally absorption onto a sphere. We consider howquantities such as the density, pressure, and flow of the active particleschange as we gradually increase the activity away from a purely passive system.These results for the limit of weak activity help us gain insight into howactive particles behave in the presence of various types of boundaries.

On the effect of boundaries on noninteracting weakly active particles in different geometries