Romualdo Pastor-Satorras and Alessandro Vespignani 2000 J. Phys. A: Math. Gen. 33 L33 doi:10.1088/0305-4470/33/3/101
Romualdo Pastor-Satorras and Alessandro Vespignani
Show affiliationsWe perform large-scale numerical simulations of a directed version of the two-state stochastic sandpile model. Numerical results show that this stochastic model defines a new universality class with respect to the Abelian directed sandpile. The physical origin of the different critical behaviour has to be ascribed to the presence of multiple topplings in the stochastic model. These results provide new insight into the long-debated question of universality in Abelian and stochastic sandpiles.
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
82C27 Dynamic critical phenomena
82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) (See also 60H10)
Issue 3 (28 January 2000)
Received 27 July 1999
Romualdo Pastor-Satorras and Alessandro Vespignani 2000 J. Phys. A: Math. Gen. 33 L33
S Denis et al 2007 Supercond. Sci. Technol. 20 192
C J Whiting et al 2001 J. Phys.: Condens. Matter 13 1381
H Laidler et al 2002 J. Phys. D: Appl. Phys. 35 512
Andrew Wallard 2004 Metrologia 41 99
T Bowen et al 1991 Phys. Med. Biol. 36 537
V Pravda et al 2007 Class. Quantum Grav. 24 1691
H H Emsley 1943 Proc. Phys. Soc. 55 314
Walid K Abou Salem 2009 Nonlinearity 22 747
Shusaku Horibe and Bret Underwood 2009 Phys. Educ. 44 633