Regular Article - Statistical and Nonlinear Physics
Collective attention dynamic induced by novelty decay
School of Electronics and Information Engineering, Taizhou University, 318000, Taizhou, Zhejiang, China
2 Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, 100049, Beijing, China
3 University of Chinese Academy of Sciences, 100049, Beijing, China
4 Wenzhou University, 325035, Wenzhou City, Zhejiang Province, China
Accepted: 18 July 2022
Published online: 18 August 2022
We investigate Chinese BBS-Tianya Club collective users’ behaviors empirically and confirm that emerging attention on posts follows q-exponential novelty decay. We analytically derive a general model of reply asymptotic behavior, showing that the microscopic rate of change obeys the Gibrat proportional effect and q-exponential novelty decay. Rigorous statistical comparison and tests confirm that the empirically observed distribution of replies is subject to power-law distribution with an exponential cutoff, which is consistent with our theoretical analysis, suggesting that the proposed model effectively describes the collective replying dynamics on BBS.
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