Figure 1.
Main: Avalanche size distribution, for various values of
in a two dimensional lattice of size size
, and associated distribution for avalanche sizes of
-infected individuals,
(main plot), and
of
-infected ones (inset).
Figure 2.
Ratio of the variance () to the mean size (
) for
(red) and for
(black), for and different values of and system sizes
(full symbols) and
(empty symbols).
The ratio diverges in the double limit ,
. Inset: as the main plot, but in double logarithmic scale: as system-size increases the curves converge to straight lines, i.e. power-laws, but finite size effects are significant.
Figure 3.
Log log plot of ,
, and
, for spreading experiments in different two-dimensional systems (linear sizes
, and
) as a function of time
.
Dashed lines are a guide to the eye.
Figure 4.
Plot of as a function of
for different system sizes (from
to
), illustrating the presence of linear logarithmic corrections for the surviving probability in the two-dimensional SJ model.
Figure 5.
Avalanche size distribution, for
and various one-dimensional lattices, of size
, and
, respectively.
The straight line corresponds to the theoretical prediction for the one-dimensional voter-model class.
Figure 6.
Evolution of ,
, and
as a function of time
in log-log scale for spreading experiments performed on one-dimensional lattices of linear sizes
, and
.
Parameter values are ,
, and
. Results are averaged over
independent realizations.