https://doi.org/10.1140/epjb/s10051-022-00385-y
Regular Article - Statistical and Nonlinear Physics
Collective attention dynamic induced by novelty decay
1
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
Received:
3
January
2022
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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