TY  - JOUR
PY  - 2016//
TI  - Competing effects of social balance and influence
JO  - Physical review. E
A1  - Singh, P.
A1  - Sreenivasan, S.
A1  - Szymanski, B. K.
A1  - Korniss, G.
SP  - e042306
EP  - e042306
VL  - 93
IS  - 4-1
N2  - We study a three-state (leftist, rightist, centrist) model that couples the dynamics of social balance with an external deradicalizing field. The mean-field 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 all-centrist consensus state (absorbing state). In the weak-field 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.<p />  <p>Language: en</p>
LA  - en
SN  - 2470-0045
UR  - http://dx.doi.org/10.1103/PhysRevE.93.042306
ID  - ref1
ER  -