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Disorder induced phase transition in kinetic models of opinion dynamics

Author

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  • Biswas, Soumyajyoti
  • Chatterjee, Arnab
  • Sen, Parongama

Abstract

We propose a model of continuous opinion dynamics, where mutual interactions can be both positive and negative. Different types of distributions for the interactions, all characterized by a single parameter p denoting the fraction of negative interactions, are considered. Results from exact calculation of a discrete version and numerical simulations of the continuous version of the model indicate the existence of a universal continuous phase transition at p=pc below which a consensus is reached. Although the order–disorder transition is analogous to a ferromagnetic–paramagnetic phase transition with comparable critical exponents, the model is characterized by some distinctive features relevant to a social system.

Suggested Citation

  • Biswas, Soumyajyoti & Chatterjee, Arnab & Sen, Parongama, 2012. "Disorder induced phase transition in kinetic models of opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(11), pages 3257-3265.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:11:p:3257-3265
    DOI: 10.1016/j.physa.2012.01.046
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    Citations

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    Cited by:

    1. Biswas, Kathakali & Biswas, Soumyajyoti & Sen, Parongama, 2021. "Block size dependence of coarse graining in discrete opinion dynamics model: Application to the US presidential elections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    2. Célestin Coquidé & José Lages & Dima Shepelyansky, 2024. "Opinion Formation in the World Trade Network," Post-Print hal-04461784, HAL.
    3. Calvelli, Matheus & Crokidakis, Nuno & Penna, Thadeu J.P., 2019. "Phase transitions and universality in the Sznajd model with anticonformity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 518-523.
    4. Qian, Shen & Liu, Yijun & Galam, Serge, 2015. "Activeness as a key to counter democratic balance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 187-196.
    5. Oestereich, André L. & Crokidakis, Nuno & Cajueiro, Daniel O., 2022. "Impact of memory and bias in kinetic exchange opinion models on random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    6. Mukherjee, Sudip & Biswas, Soumyajyoti & Chatterjee, Arnab & Chakrabarti, Bikas K., 2021. "The Ising universality class of kinetic exchange models of opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    7. Lipiecki, Arkadiusz & Sznajd-Weron, Katarzyna, 2022. "Polarization in the three-state q-voter model with anticonformity and bounded confidence," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    8. Muslim, Roni & Wella, Sasfan A. & Nugraha, Ahmad R.T., 2022. "Phase transition in the majority rule model with the nonconformist agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P2).

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