Volume 132, Number 6, December 2020
|Number of page(s)||7|
|Published online||01 March 2021|
Vulnerability and resilience of social engagement: Equilibrium theory
1 CAS Key Laboratory for Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences Beijing 100190, China
2 Institute of Theoretical Physics, Dalian University of Technology - Dalian 116024, China
3 School of Physical Sciences, University of Chinese Academy of Sciences - Beijing 100049, China
4 Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University Changsha 410081, China
Received: 30 June 2020
Accepted: 17 November 2020
Social networks of engagement sometimes dramatically collapse. A widely adopted paradigm to understand this catastrophe dynamics is the threshold model but previous work only considered the irreversible K-core pruning process and the resulting kinetic activity patterns. Here we study the network alliance problem as a simplified model of social engagement by equilibrium statistical mechanics. Our theory reveals that the surviving kinetic alliances are out-of-equilibrium and atypical configurations which may become highly vulnerable to single-node–triggered cascading failures as they relax towards equilibrium. Our theory predicts that if the fraction of active nodes is beyond certain critical value, the equilibrium (typical) alliance configurations could be protected from cascading failures by a simple least-effort local intervention strategy. We confirm these results by extensive Monte Carlo simulations.
PACS: 05.70.Fh – Phase transitions: general studies / 87.23.Ge – Dynamics of social systems / 89.75.Fb – Structures and organization in complex systems
© 2021 EPLA
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.