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
Masayuki Morisawa et al 2001 Meas. Sci. Technol. 12 877
A Gómez and J D Meiss 2004 Nonlinearity 17 975
Danny van Noort et al 2002 Smart Mater. Struct. 11 756
D T A Blair et al 1989 J. Phys. D: Appl. Phys. 22 755
Ntina Savvidou 2004 Class. Quantum Grav. 21 615
J P Dada et al 2006 Phys. Scr. 74 618
Robert J Berry 1983 Metrologia 19 37
H L Andrews et al 2006 New J. Phys. 8 289
B R Judd 1987 J. Phys. A: Math. Gen. 20 L343