Muslim, Roni and Nqz, Rinto Anugraha and Khalif, Muhammad Ardhi (2024) Mass media and its impact on opinion dynamics of the nonlinear q-voter model. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 633. pp. 1-13. ISSN 0378-4371
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Abstract
With the success of general conceptual frameworks of statistical physics, many scholars have tried to apply these concepts to other interdisciplinary fields, such as socio-politics, economics, biology, medicine, and many more. In this work, we study the effect of mass media on opinion evolution based on the nonlinear q -voter by means with probability p a voter adopts the mass media opinion whenever a q -sized agent in the population is not in unanimous agreement. We perform analytical and numerical calculations for some quantities of macroscopic parameters of the model such as order parameter (representing an average of public opinion), consensus (relaxation) time, and exit probability, and obtain the agreement results. We find the power -law relations for some quantities of the model. (1) The probability threshold pt, i.e a probability that makes the system reaches a homogeneous state, follows the power -law relation pt similar to qy with the q -sized agent, where y = -1.00 +/- 0.01 is the best fitting parameter. The probability threshold pt also eliminates the coexistence two ordered states of the model. (2) The relaxation time (the time needed by the system to reach consensus) z with the population size N is obtained in the form of z similar to No, where o depends on the probability p and q -sized agent. We also approximate the separator point rs and the system's scaling parameters by employing the standard finite -size scaling relation.
Item Type: | Article |
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Uncontrolled Keywords: | Opinion dynamics; Exit probability; Relaxation time; Scaling; Mass media effect |
Subjects: | H Social Sciences > HN Social history and conditions. Social problems. Social reform |
Divisions: | Faculty of Mathematics and Natural Sciences > Physics Department |
Depositing User: | Sri JUNANDI |
Date Deposited: | 24 Dec 2024 04:33 |
Last Modified: | 24 Dec 2024 04:33 |
URI: | https://ir.lib.ugm.ac.id/id/eprint/11896 |