Mellor, A, Mobilia, M and Zia, RKP (2016) Characterization of the nonequilibrium steady state of a heterogeneous nonlinear q-voter model with zealotry. EPL, 113 (4). 48001. ISSN 0295-5075
Abstract
We introduce an heterogeneous nonlinear q-voter model with zealots and two types of susceptible voters, and study its non-equilibrium properties when the population is finite and well mixed. In this two-opinion model, each individual supports one of two parties and is either a zealot or a susceptible voter of type q1 or q2. While here zealots never change their opinion, a qi-susceptible voter (i = 1, 2) consults a group of qi neighbors at each time step, and adopts their opinion if all group members agree. We show that this model violates the detailed balance whenever q1 ≠ q2 and has surprisingly rich properties. Here, we focus on the characterization of the model’s non-equilibrium stationary state (NESS) in terms of its probability distribution and currents in the distinct regimes of low and high density of zealotry. We unveil the NESS properties in each of these phases by computing the opinion distribution and the circulation of probability currents, as well as the two-point correlation functions at unequal times (formally related to a “probability angular momentum”). Our analytical calculations obtained in the realm of a linear Gaussian approximation are compared with numerical results.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Editors: |
|
Copyright, Publisher and Additional Information: | © 2016 EPLA. This is an author produced version of a paper published in EPL. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 02 Mar 2016 10:10 |
Last Modified: | 14 Apr 2017 03:08 |
Published Version: | https://dx.doi.org/10.1209/0295-5075/113/48001 |
Status: | Published |
Publisher: | European Physical Society |
Identification Number: | 10.1209/0295-5075/113/48001 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:95550 |