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Title: Slow-down or speed-up of inter- and intra-cluster diffusion of controversial knowledge in stubborn communities based on a small world network
Authors: Ausloos, Marcel
First Published: 19-Jun-2015
Publisher: Frontiers Media
Citation: Frontiers in Physics 3:43 (2015)
Abstract: Diffusion of knowledge is expected to be huge when agents are open minded. The report concerns a more difficult diffusion case when communities are made of stubborn agents. Communities having markedly different opinions are for example the Neocreationist and Intelligent Design Proponents (IDP), on one hand, and the Darwinian Evolution Defenders (DED), on the other hand. The case of knowledge diffusion within such communities is studied here on a network based on an adjacency matrix built from time ordered selected quotations of agents, whence for inter- and intra-communities. The network is intrinsically directed and not necessarily reciprocal. Thus, the adjacency matrices have complex eigenvalues, the eigenvectors present complex components. A quantification of the slow-down or speed-up effects of information diffusion in such temporal networks, with non-Markovian contact sequences, can be made by comparing the real time dependent (directed) network to its counterpart, the time aggregated (undirected) network, - which has real eigenvalues. In order to do so, small world networks which both contain an $odd$ number of nodes are studied and compared to similar networks with an $even$ number of nodes. It is found that (i) the diffusion of knowledge is more difficult on the largest networks, (ii) the network size influences the slowing-down or speeding-up diffusion process. Interestingly, it is observed that (iii) the diffusion of knowledge is slower in IDP and faster in DED communities. It is suggested that the finding can be "rationalized", if some "scientific quality" and "publication habit" is attributed to the agents, as common sense would guess. This finding offers some opening discussion toward tying scientific knowledge to belief.
DOI Link: 10.3389/fphy.2015.00043
eISSN: 2296-424X
Version: Publisher Version
Status: Peer-reviewed
Type: Journal Article
Rights: © 2015 Ausloos. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
Description: 16 pages, 28 references, 6 Tables, prepared for a Frontiers Research Topic "Opinions, Choices and Actions: Applications of Sociophysics to the diffusion of ideas" issue, A. Martins & S.Galam, Eds The Supplementary Material for this article can be found online at:
Appears in Collections:Published Articles, School of Management

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