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

The Pomeau-Manneville map is a paradigmatic intermittent dynamical systemexhibiting weak chaos and anomalous dynamics. In this paper we analyse theparameter dependence of superdiffusion for the map lifted periodically onto thereal line. From numerical simulations we compute the generalised diffusioncoefficient (GDC) of this model as a function of the map's nonlinearityparameter. We identify two singular dynamical transitions in the GDC, one whereit diverges to infinity, and a second one where it is fully suppressed. Usingthe continuous-time random walk theory of L\'evy walks we calculate an analyticexpression for the GDC and show that it qualitatively reproduces these twotransitions. Quantitatively it systematically deviates from the deterministicdynamics for small parameter values, which we explain by slow decay of velocitycorrelations. Interestingly, imposing aging onto the dynamics in simulationseliminates the dynamical transition that led to suppression of the GDC, thusyielding a non-trivial change in the parameter dependence of superdiffusion.This also applies to a respective intermittent model of subdiffusive dynamicsdisplaying a related transition.

Dynamical transitions and aging in the superdiffusive Pomeau-Manneville map