Results on the continuous-energy self-organized critical model in one dimension

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Abstract

In order to understand the self-organized critical behavior of a one-dimensional, finite-size cellular automaton with a continuous state variable, proposed by Y. C. Zhang [Phys. Rev. Lett. 63, 470 (1989)], calculations are performed. Analytical results for the distribution functions and the critical energy of finite chains are in complete agreement with the numerical results, and do not agree with earlier predictions.

Original languageEnglish
Pages (from-to)1386-1389
Number of pages4
JournalPhysical Review A
Volume44
Issue number2
DOIs
Publication statusPublished - Jan 1 1991

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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