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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Self-avoidance is a common mechanism to improve the efficiency of a randomwalker for covering a spatial domain. However, how this efficiency decreaseswhen self-avoidance is impaired or limited by other processes has remainedlargely unexplored. Here we use simulations to study the case when theself-avoiding signal left by a walker both (i) saturates after successiverevisits to a site, and (ii) evaporates, or dissappears, after somecharacteristic time. We surprisingly reveal that the mean cover time becomesminimum for intermediate values of the evaporation time, leading to theexistence of a nontrivial optimum management of the self-avoiding signal. Weargue that this is a consequence of complex blocking effects caused by theinterplay with the signal saturation and, remarkably, we show that the optimumbecomes more and more significant as the domain size increases.

Optimal management of impaired self-avoiding random walks for minimizing spatial coverage