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 consider a driven tracer particle (TP) in a bath of hard-core particlesundergoing continuous exchanges with a reservoir. We develop an analyticalframework which allows us to go beyond the standard force-velocity relationused for this minimal model of active microrheology and quantitatively analyze,for any density of the bath particles, the fluctuations of the TP position andtheir correlations with the occupation number of the bath particles. We obtainan exact Einstein-type relation which links these fluctuations in the absenceof a driving force and the bath particles density profiles in the lineardriving regime. For the one-dimensional case we also provide an approximate butvery accurate explicit expression for the variance of the TP position and showthat it can be a non-monotoneous function of the bath particles density:counter-intuitively, an increase of the density may increase the dispersion ofthe TP position. We show that this non trivial behavior, which could inprinciple be observed in active microrheology experiments, is induced by subtlecross-correlations quantified by our approach.

Fluctuations and correlations of a driven tracer in a hard-core lattice gas