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

Atmospheric self-organization and activator-inhibitor dynamics in biologyprovide examples of checkerboard-like spatio-temporal organization. We study asimple model for local activation-inhibition processes. Our model, firstintroduced in the context of atmospheric moisture dynamics, is acontinuous-energy and non-Abelian version of the fixed-energy sandpile model.Each lattice site is populated by a non-negative real number, its energy. Uponeach timestep all sites with energy exceeding a unit threshold re-distributetheir energy at equal parts to their nearest neighbors. The limit cycledynamics gives rise to a complex phase diagram in dependence on the mean energy$\mu$: For low $\mu$, all dynamics ceases after few re-distribution events. Forlarge $\mu$, the dynamics is well-described as a diffusion process, where theorder parameter, spatial variance $\sigma$, is removed. States at intermediate$\mu$ are dominated by checkerboard-like period-two phases which are howeverinterspersed by much more complex phases of far longer periods. Phases areseparated by discontinuous jumps in $\sigma$ or $\partial_{\mu}\sigma$ - akinto first and higher-order phase transitions. Overall, the energy landscape isdominated by few energy levels which occur as sharp spikes in the single-sitedensity of states and are robust to noise.

Self-organized quantization and oscillations on continuous fixed-energy sandpiles