Symmetry-breaking phase transition in a dynamical decision model

Details Symmetry-breaking phase transition in a dynamical decision model Symmetry-breaking phase transition in a dynamical decision model

2011-04-28

arxiv.org/abs/1104.5418v2

J. Stat. Mech. (2011) P06005

Physics

Physics and Society

13 pages, 6 figures, submitted to JSTAT

Scientific paper

10.1088/1742-5468/2011/06/p06005

We consider a simple decision model in which a set of agents randomly choose one of two competing shops selling the same perishable products (typically food). The satisfaction of agents with respect to a given store is related to the freshness of the previously bought products. Agents select with a higher probability the store they are most satisfied with. Studying the model from a statistical physics perspective, both through numerical simulations and mean-field analytical methods, we find a rich behaviour with continuous and discontinuous phase transitions between a symmetric phase where both stores maintain the same level of activity, and a phase with broken symmetry where one of the two shops attracts more customers than the other.

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