Piotr Nyczka, Katarzyna Sznajd-Weron, Jerzy Cislo
In this paper we study nonlinear $q$-voter model with stochastic driving on a complete graph. We investigate two types of stochasticity that, using the language of social sciences, can be interpreted as different kinds of nonconformity. From a social point of view, it is very important to distinguish between two types nonconformity, so called anti-conformity and independence. However, as expected, these social differences may be completely irrelevant in terms of microscopic modeling that uses tools of statistical physics. It has been suggested that both types of nonconformity play the role of social temperature that induce an order--disorder phase transition. To validate these expectations we investigate the $q$-voter model under both types of stochastic driving. It occurs, on contrary to earlier predictions, that there are qualitative differences between anti-conformity and independence associated with order--disorder phase transitions.
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http://arxiv.org/abs/1204.3151
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