title: Disorder-induced phase transition in an opinion dynamics model: Results in two and three dimensions.
abstract: We study a model of continuous opinion dynamics with both positive and negative mutual interactions. The model shows a continuous phase transition between a phase with consensus (order) and a phase having no consensus (disorder). The mean field version of the model was already studied. Using extensive numerical simulations, we study the same model in two and three dimensions. The critical points of the phase transitions for various cases and the associated critical exponents have been estimated. The universality class of the phase transitions in the model is found to be same as Ising model in the respective dimensions.
authors.affiliation: Barasat Government College, 10 K.N.C. Road, Barasat (N 24 Parganas), Kolkata 700124, India.|Condensed Matter Physics Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700064, India.
authors.forename: Sudip
authors.initials: S
authors.lastname: Mukherjee
authors.affiliation: Condensed Matter Physics Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700064, India.
authors.forename: Arnab
authors.initials: A
authors.lastname: Chatterjee