Nonequilibrium phase transitions and absorbing states in a model for the dynamics of religious affiliation

Crokidakis, Nuno

doi:10.1016/j.physa.2024.129820

Physica A: Statistical Mechanics and its Applications

2024

DOI: 10.1016/j.physa.2024.129820

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Nonequilibrium phase transitions and absorbing states in a model for the dynamics of religious affiliation

Nuno Crokidakis

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Cited by 3 publications

References 31 publications

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A mathematical model for the bullying dynamics in schools

Crokidakis

2025

Applied Mathematics and Computation

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A mathematical model for the bullying dynamics in schools

Crokidakis

2025

Applied Mathematics and Computation

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Dynamics of drug trafficking: Results from a simple compartmental model

Crokidakis

2024

Int. J. Mod. Phys. C

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In this work we propose a simple model for the emergence of drug dealers. For this purpose, we built a compartmental model considering four subpopulations, namely susceptibles, passive supporters, drug dealers and arrested drug dealers. The target is to study the influence of the passive supporters on the long-time prevalence of drug dealers. Passive supporters are people who are passively consenting to the drug trafficking cause. First we consider the model on a fully connected network, in such a way that we can write a rate equation for each subpopulation. Our analytical and numerical results show that the emergence of drug dealers is a consequence of the rapid increase in the number of passive supporters. Such increase is associated with a nonequilibrium active-absorbing phase transition. After that, we consider the model on a two-dimensional square lattice, in order to compare the results in the presence of a simple social network with the previous results. The Monte Carlo simulation results suggest a similar behavior in comparison with the fully connected network case, but the location of the critical point of the transition is distinct, due to the neighbors’ correlations introduced by the presence of the lattice.

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Fake News: “No Ban, No Spread—With Sequestration”

Galam

2024

Physics

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To curb the spread of fake news, I propose an alternative to the current trend of implementing coercive measures. This approach would preserve freedom of speech while neutralizing the social impact of fake news. The proposal relies on creating an environment to naturally sequestrate fake news within quite small networks of people. I illustrate the process using a stylized model of opinion dynamics. In particular, I explore the effect of a simultaneous activation of prejudice tie breaking and contrarian behavior, on the spread of fake news. The results show that indeed most pieces of fake news do not propagate beyond quite small groups of people and thus pose no global threat. However, some peculiar sets of parameters are found to boost fake news so that it “naturally” invades an entire community with no resistance, even if initially shared by only a handful of agents. These findings identify the modifications of the parameters required to reverse the boosting effect into a sequestration effect by an appropriate reshaping of the social geometry of the opinion dynamics landscape. Then, all fake news items become “naturally” trapped inside limited networks of people. No prohibition is required. The next significant challenge is implementing this groundbreaking scheme within social media.

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Nonequilibrium phase transitions and absorbing states in a model for the dynamics of religious affiliation

Cited by 3 publications

References 31 publications

A mathematical model for the bullying dynamics in schools

A mathematical model for the bullying dynamics in schools

Dynamics of drug trafficking: Results from a simple compartmental model

Fake News: “No Ban, No Spread—With Sequestration”

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