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Online discussions modelled by an evolving Ising-like dynamics

Julian M. Sienkiewicz ,  Janusz A. Hołyst 

Warsaw University of Technology, Faculty of Physics, Koszykowa 75, Warszawa 00-662, Poland
Warsaw University of Technology, Centre of Excellence for Complex Systems Research, Koszykowa 75, Warszawa 00-662, Poland

Abstract

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 motion <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.

 

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Related papers

Presentation: Oral at CyberEmotions conference, by Julian M. Sienkiewicz
See On-line Journal of CyberEmotions conference

Submitted: 2012-11-22 13:59
Revised:   2012-12-23 09:36