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- Title
How can we reach consensus? The answer from the micro-configurations of a 2-D Ising model.
- Authors
Wang, Peng; Ai, Hui; Huo, Jie; Pan, Feng-Chun; Wang, Xu-Ming
- Abstract
We study opinion formation by uncovering the relevant aspects hiding in the distribution of micro-configurations in a 2-D Ising model. The external field denotes the external influence such as guiding viewpoint, and temperature represents randomness of the agents. The full-positive configuration or the full-negative configuration means consensus. We find that the probability of the full-positive configuration and the full-negative configuration can reach 0. 5 (which implies the equal splitting of a group) if the interaction is strong enough and the system is free from external field; the probability of the full-positive configuration can reach 1 (which means consensus) if the positive external field is strong enough under condition of given interaction and temperature. These phenomena are regarded as the reversing mechanism of the full-negative configuration induced by the external field — an opinion reversal. The equal splitting and consensus can be broken down as temperature rises. We discuss the dependence of interaction strength J c (with which the equal splitting occurs) on temperature T , the dependence of external field strength B c (with which the consensus occurs) on interaction strength J at a certain temperature, as well as the scaling relations responsible for the probability of the full-negative configuration varying with temperature under different conditions. The findings provide us with a good description to understand opinion formation.
- Subjects
ISING model; MEAN field theory
- Publication
International Journal of Modern Physics C: Computational Physics & Physical Computation, 2020, Vol 31, Issue 7, pN.PAG
- ISSN
0129-1831
- Publication type
Article
- DOI
10.1142/S0129183120500989