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In this work we study the critical behavior of a three-state opinion model inthe presence of noise. This noise represents the independent behavior, thatplays the role of social temperature. Each agent on a regular D-dimensionallattice has a probability $q$ to act as independent, i.e., he can choose hisopinion independent of the opinions of his neighbors. Furthermore, with thecomplementary probability $1-q$ the agent interacts with a randomly chosennearest neighbor through a kinetic exchange. Our numerical results suggest thatthe model undergoes nonequilibrium phase transitions at critical points $q_{c}$that depend on the lattice dimension. These transitions are of order-disordertype, presenting the same critical exponents of the Ising model. The resultsalso suggest that the upper critical dimension of the model is $D_{c}=4$, asfor the Ising model. From the social point of view, with increasing number ofsocial connections, it is easier to observe a majority opinion in thepopulation.

Non-Equilibrium Phase Transitions Induced by Social Temperature in Kinetic Exchange Opinion Models on Regular Lattices