We study the asymptotic behaviour of the Bak, Tang, Wiesenfeld sandpile au- tomata as a closed system with fixed energy. We explore the full range of energies characterizing the active phase. The model exhibits strong non-ergodic features by settling into limit-cycles whose period depends on the energy and initial conditions. The asymptotic activity ρa (top- plings density) shows, as a function of energy density ζ, a devil’s staircase behaviour defining a symmetric energy interval-set over which also the period lengths remain constant. The prop- erties of the ζ-ρa phase diagram can be traced back to the basic symmetries underlying the model’s dynamics.

Short-period attractors and non-ergodic behavior in the deterministic fixed-energy sandpile model / F. BAGNOLI; F. CECCONI; A. FLAMMINI; A. VESPIGNANI. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - STAMPA. - 63:(2003), pp. 512-519. [10.1209/epl/i2003-00561-8]

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

BAGNOLI, FRANCO;
2003

Abstract

We study the asymptotic behaviour of the Bak, Tang, Wiesenfeld sandpile au- tomata as a closed system with fixed energy. We explore the full range of energies characterizing the active phase. The model exhibits strong non-ergodic features by settling into limit-cycles whose period depends on the energy and initial conditions. The asymptotic activity ρa (top- plings density) shows, as a function of energy density ζ, a devil’s staircase behaviour defining a symmetric energy interval-set over which also the period lengths remain constant. The prop- erties of the ζ-ρa phase diagram can be traced back to the basic symmetries underlying the model’s dynamics.
2003
63
512
519
F. BAGNOLI; F. CECCONI; A. FLAMMINI; A. VESPIGNANI
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/3463
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