Regensburg 2013 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 25: Critical Phenomena and Phase Transitions

DY 25.4: Talk

Thursday, March 14, 2013, 10:15–10:30, H46

Online discussions modeled by an evolving Ising-like dynamics — •Julian Sienkiewicz and Janusz Hołyst — Faculty of Physics, Center of Excellence of Complex Systems Research, Warsaw University of Technology, Poland

We present and exactly solve a one-dimensional model for emotional online discussions basing on the Ising-like asymmetrical and evolving dynamics. We restrict ourselves only to interactions with last message’s emotions and study the dependence of the chain’s average emotion ⟨ e ⟩ on external field h (community tendency toward a selected valence) and temperature T (uncertainty of the emotion). This leads us to an observation of three distinct phases - the first, where discussion evolution is determined by its beginning only, the second, in which the mostly observed emotion is coping the external influence, a finally, the third one, where the outcome is subject to fluctuations. The phases are separable with respect to the parameter that copies participant’s uncertainty about their emotional behaviour.