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absorbing states are present, and they are stable for
q>
0, the coherent oscil-
lations of the population can bring the system into one absorbing state. This is
reflected by the “hole” in the active phase in the mean field phase diagram.
Preliminary lattice simulations (not shown) reveal that this behavior is still
present if there is a su
9
ciently large fraction of long-range connections due to
the small-world effect [7], while the active phase is compact in the short-range
case.
5 Conclusions
Although this model is quite rough, there are aspects that present some analogies
with the behavior of a real society. In particular, the role of education, repre-
sented by the
J
parameter. In a society dominated by conformists, the transitions
are di
9
cult and catastrophic, while in the opposite case of non-conformist people
the transitions are smooth. However, in the latter case a great social pressure is
needed to gain the majority.
On the other hand, if the neighborhood is large and non-conformism is
present, one can observe the phenomenon of political instabilities given by tem-
poral oscillations of population opinion, which could be interpreted as a symptom
of healthy democracy.
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