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/

Zendy Plus

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

Zendy Tools

Zendy Open

Fractional Brownian motion is a generalised Gaussian diffusive process thatis found to describe numerous stochastic phenomena in physics and biology. Herewe introduce a multi-dimensional fractional Brownian motion (FBM) defined as asuperposition of conventional FBM for each coordinate in analogy tomulti-dimensional Brownian motion, and study its first passage properties.Starting from the well-established first passage time statistics ofone-dimensional FBM and the associated approximation schemes, we explore thefirst passage time behaviour of multi-dimensional FBM and compare these resultswith simulations. The asymptotic kinetic behaviour of diffusion-limitedreactions of reactant particles performing FBM in a one- and multi-dimensionalspace is studied based on the corresponding first passage time statistics.

First passage behaviour of multi-dimensional fractional Brownian motion and application to reaction phenomena