Regensburg 2013 – wissenschaftliches Programm

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 19: Social Systems and Group Dynamics

SOE 19.2: Vortrag

Mittwoch, 13. März 2013, 17:15–17:30, H37

Transition due to preferential cluster growth of collective emotions in online communities — •Anna Chmiel and Janusz Hołyst — Faculty of Physics, Center of Excellence for Systems Research, Warsaw University of Technology, Poland

We consider a preferential cluster growth in a stochastic model describing the dynamics of a binary Markov chain with a long-range memory. The model is driven by data corresponding to emotional patterns observed during online communities' discussions with binary states corresponding to emotional valencies. The system undergoes a transition where a preference exponent describing the memory strength is changed. For low values of this exponent both emotional states are observed during the string evolution in the majority of simulated discussion threads. When the exponent crosses a characteristic value, in the majority of threads an ordered phase emerges, i.e. from a certain time moment only one emotion is represented. The transition becomes discontinuous in the thermodynamical limit when the discussions are infinitely long and even an infinitely small preference exponent leads to the ordering behavior in every discussion thread. Numerical simulations are in a good agreement with approximated analytical formula. The ordered phase is visible in Blog06 dataset although its volume is limited by fluctuations and sentiment classification errors.