Fixed-Energy Sandpiles Belong Generically to Directed Percolation

Mahashweta Basu, Urna Basu, Sourish Bondyopadhyay, P. K. Mohanty, and Haye Hinrichsen
Phys. Rev. Lett. 109, 015702 – Published 3 July 2012
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Abstract

Fixed-energy sandpiles with stochastic update rules are known to exhibit a nonequilibrium phase transition from an active phase into infinitely many absorbing states. Examples include the conserved Manna model, the conserved lattice gas, and the conserved threshold transfer process. It is believed that the transitions in these models belong to an autonomous universality class of nonequilibrium phase transitions, the so-called Manna class. Contrarily, the present numerical study of selected (1+1)-dimensional models in this class suggests that their critical behavior converges to directed percolation after very long time, questioning the existence of an independent Manna class.

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  • Received 31 January 2012

DOI:https://doi.org/10.1103/PhysRevLett.109.015702

© 2012 American Physical Society

Authors & Affiliations

Mahashweta Basu1, Urna Basu1, Sourish Bondyopadhyay1, P. K. Mohanty1, and Haye Hinrichsen2

  • 1TCMP Division, Saha Institute of Nuclear Physics, 1/AF Bidhan Nagar, Kolkata 700064, India
  • 2Universität Würzburg, Fakultät für Physik und Astronomie, 97074 Würzburg, Germany

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Vol. 109, Iss. 1 — 6 July 2012

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