Critical exponents
Two-dimensional Bak-Tang-Wiesenfeld
model:
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The 2D Bak,
Tang, and Wiesenfeld sandpile model for system sizes L = 50, 100, and 200
with open boundary conditions. (a) The probability of initiating an avalanche
of size s in a system of size L, P(s,L) decreases algebraically with s. The
cutoff is a finite-size effect. The displayed distribution functions are
averaged over exponentially increasing bins. (b) A reasonable finite size
scaling data collapse is obtained with
t= 2.15 ± 0.1 and n= 2.7 ± 0.1. |
Albert Díaz-Guilera