@article{ref1,
title="Competing effects of social balance and influence",
journal="Physical review. E",
year="2016",
author="Singh, P. and Sreenivasan, S. and Szymanski, B. K. and Korniss, G.",
volume="93",
number="4-1",
pages="e042306-e042306",
abstract="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>",
language="en",
issn="2470-0045",
doi="10.1103/PhysRevE.93.042306",
url="http://dx.doi.org/10.1103/PhysRevE.93.042306"
}