Non Local Effects in the Sznajd Model: Stochastic resonance aspects

The Sznajd model is basically an Ising spin model, widely used in sociophysics studies as a simple mechanism for predicting decision-making in a closed community through interactions among the nearest neighbors. In the present work we aim to deepen our understanding of this model by analyzing not only local or first neighbor interactions but also long range ones. Besides, we consider the system as being subjected to two signals, a stochastically social internal one, mimicking “social temperature”, and an external periodic signal playing the role of the effects of fashion or propaganda. Under these conditions, we show the occurrence of a double stochastic resonance phenomenon when depicting signal-to-noise ratio as a function of both, the social temperature and the non local interaction parameters.