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

We study the asymptotic behaviour of the Bak, Tang, Wiesenfeld sandpileautomata as a closed system with fixed energy.  We explore the full range of energies characterizing the active phase. Themodel exhibits strong non-ergodic features by settling into limit-cycles whoseperiod depends on the energy and initial conditions. The asymptotic activity$\rho_a$ (topplings density) shows, as a function of energy density $\zeta$, adevil's staircase behaviour defining a symmetric energy interval-set over whichalso the period lengths remain constant. The properties of $\zeta$-$\rho_a$phase diagram can be traced back to the basic symmetries underlying the model'sdynamics.Comment: EPL-style, 7 pages, 3 eps figures, revised versio

Short-period attractors and non-ergodic behavior in the deterministic fixed-energy sandpile model