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

Levy walks (LWs) define a fundamental class of finite velocity stochasticprocesses that can be introduced as a special case of continuous time randomwalks. Alternatively, there is a hyperbolic representation of them in terms ofpartial probability density waves. Using the latter framework we explore theimpact of aging on LWs, which can be viewed as a specific initial preparationof the particle ensemble with respect to an age distribution. We show that thehyperbolic age formulation is suitable for a simple integral representation interms of linear Volterra equations for any initial preparation. On this basisrelaxation properties and first passage time statistics in bounded domains arestudied by connecting the latter problem with solute release kinetics. We findthat even normal diffusive LWs may display anomalous relaxation properties suchas stretched exponential decay. We then discuss the impact of aging on thefirst passage time statistics of LWs by developing the corresponding Volterraintegral representation. As a further natural generalization the concept of LWswith wearing is introduced to account for mobility losses.

Age representation of Levy walks: partial density waves, relaxation and first passage time statistics