Competing effects of social balance and influence
Abstract
We study a threestate (leftist, rightist, centrist) model that couples the dynamics of social balance with an external deradicalizing field. The meanfield analysis shows that there exists a critical value of the external field p_{c} such that for a weak external field (p <p_{c} ), the system exhibits a metastable fixed point and a saddle point in addition to a stable fixed point. However, if the strength of the external field is sufficiently large (p >p_{c} ), there is only one (stable) fixed point, which corresponds to an allcentrist consensus state (absorbing state). In the weakfield regime, the convergence time to the absorbing state is evaluated using the quasistationary distribution and is found to be in agreement with the results obtained by numerical simulations.
 Publication:

Physical Review E
 Pub Date:
 April 2016
 DOI:
 10.1103/PhysRevE.93.042306
 arXiv:
 arXiv:1507.04410
 Bibcode:
 2016PhRvE..93d2306S
 Keywords:

 Physics  Physics and Society;
 Condensed Matter  Statistical Mechanics;
 Computer Science  Social and Information Networks
 EPrint:
 Phys. Rev. E 93, 042306 (2016)