Critical behavior of a one-dimensional fixed-energy stochastic sandpile

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© 2001 American Physical Society (APS). This is the accepted version of the following article: Dickman, Ronald & Alava, Mikko J. & A. Muñoz, Miguel & Peltola, Jarkko & Vespignani, Alessandro & Zapperi, Stefano. 2001. Critical behavior of a one-dimensional fixed-energy stochastic sandpile. Physical Review E. Volume 64, Issue 5. 056104/1-7. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.64.056104, which has been published in final form at
Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2001
Major/Subject
Mcode
Degree programme
Language
en
Pages
056104/1-7
Series
Physical Review E, Volume 64, Issue 5
Abstract
We study a one-dimensional fixed-energy version (that is, with no input or loss of particles) of Manna’s stochastic sandpile model. The system has a continuous transition to an absorbing state at a critical value of the particle density, and exhibits the hallmarks of an absorbing-state phase transition, including finite-size scaling. Critical exponents are obtained from extensive simulations, which treat stationary and transient properties, and an associated interface representation. These exponents characterize the universality class of an absorbing-state phase transition with a static conserved density in one dimension; they differ from those expected at a linear-interface depinning transition in a medium with point disorder, and from those of directed percolation.
Description
Keywords
sandpile models, self-organized criticality
Other note
Citation
Dickman, Ronald & Alava, Mikko J. & A. Muñoz, Miguel & Peltola, Jarkko & Vespignani, Alessandro & Zapperi, Stefano. 2001. Critical behavior of a one-dimensional fixed-energy stochastic sandpile. Physical Review E. Volume 64, Issue 5. 056104/1-7. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.64.056104.