Journal
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 380, Issue 2224, Pages -Publisher
ROYAL SOC
DOI: 10.1098/rsta.2021.0164
Keywords
social dynamics; phase transitions; collective phenomena
Categories
Funding
- Brazilian funding agencies Fundacao Cearensede Apoio ao Desenvolvimento Cientifico e Tecnologico (FUNCAP) [310893/2020-8]
- Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq) [203.217/2017]
- Fundacao Carlos Chagas Filho de Amparo a Pesquisa do Estado do Rio de Janeiro (FAPERJ)
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In this work, a model of opinion dynamics is studied, where agents can become inactive and drop out from the discussion. The existence of two distinct non-equilibrium phase transitions and three phases (ordered, disordered, and absorbing) is shown through analytical and numerical results. The critical value above which the system is in the absorbing phase independently of other parameters is determined, and a distinct critical behavior for transitions among different phases is observed.
In this work, we study a model of opinion dynamics considering activation/deactivation of agents. In other words, individuals are not static and can become inactive and drop out from the discussion. A probability w governs the deactivation dynamics, whereas social interactions are ruled by kinetic exchanges, considering competitive positive/negative interactions. Inactive agents can become active due to interactions with active agents. Our analytical and numerical results show the existence of two distinct non-equilibrium phase transitions, with the occurrence of three phases, namely ordered (ferromagnetic-like), disordered (paramagnetic-like) and absorbing phases. The absorbing phase represents a collective state where all agents are inactive, i.e. they do not participate in the dynamics, inducing a frozen state. We determine the critical value wc above which the system is in the absorbing phase independently of the other parameters. We also verify a distinct critical behaviour for the transitions among different phases. This article is part of the theme issue 'Kinetic exchange models of societies and economies'.
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