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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 12: Focus Session: Opinion Formation and Voter Models

SOE 12.1: Vortrag

Dienstag, 13. März 2018, 14:00–14:15, MA 001

Person-situation debate revisited: Phase transitions with quenched and annealed disorders — •Katarzyna Sznajd-Weron and Arkadiusz Jedrzejewski — Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology, Wrocław, Poland

We study the q-voter model of opinion dynamics driven by stochastic noise arising from one out of two types of nonconformity: anticonformity or independence. We compare two approaches that were inspired by the famous psychological controversy known as the person-situation debate. We relate the person approach with the quenched disorder and the situation approach with the annealed disorder, and investigate how these two approaches influence order-disorder phase transitions observed in the q-voter model with noise. We show that under a quenched disorder, differences between models with independence and anticonformity are weaker and only quantitative. In contrast, annealing has a much more profound impact on the system and leads to qualitative differences between models on a macroscopic level. Furthermore, only under an annealed disorder may the discontinuous phase transitions appear.

Acknowledgments: the work was supported by funds from the National Science Centre (NCN, Poland) through grants no. 2013/11/B/HS4/01061 (to KSW) and no. 2016/23/N/ST2/00729 (to AJ).