Symmetry breaking by heating in a continuous opinion model

Physical Review. E
Celia Anteneodo, Nuno Crokidakis

Abstract

We study the critical behavior of a continuous opinion model, driven by kinetic exchanges in a fully connected population. Opinions range in the real interval [-1,1], representing the different shades of opinions against and for an issue under debate. Individuals' opinions evolve through pairwise interactions, with couplings that are typically positive, but a fraction p of negative ones is allowed. Moreover, a social temperature parameter T controls the tendency of the individual responses toward neutrality. Depending on p and T, different collective states emerge: symmetry broken (one side wins), symmetric (tie of opposite sides), and absorbing neutral (indecision wins). We find the critical points and exponents that characterize the phase transitions between them. The symmetry breaking transition belongs to the usual Ising mean-field universality class, but the absorbing-phase transitions, with β=0.5, are out of the paradigmatic directed percolation class. Moreover, ordered phases can emerge by increasing social temperature.

References

May 21, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nuno Crokidakis
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mehdi LallouacheBikas K Chakrabarti
Mar 17, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Parongama Sen
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Soumyajyoti Biswas
Feb 2, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nuno Crokidakis, Celia Anteneodo
Mar 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nuno CrokidakisCelia Anteneodo
May 20, 2015·Scientific Reports·Marlon RamosHernán A Makse
Dec 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlo Brugna, Giuseppe Toscani
Jan 14, 2017·Physical Review. E·Sudip Mukherjee, Arnab Chatterjee

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Citations

Jul 10, 2020·PloS One·Agnieszka Kowalska-Styczeń, Krzysztof Malarz
Oct 24, 2019·Physical Review. E·André L OestereichNuno Crokidakis

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