cicyt UNIZAR
Full-text links:

Download:

Current browse context:

physics.soc-ph

Change to browse by:

References & Citations

Bookmark

(what is this?)
CiteULike logo BibSonomy logo Mendeley logo del.icio.us logo Digg logo Reddit logo ScienceWISE logo

Physics > Physics and Society

Title: Analytical and numerical study of the non-linear noisy voter model on complex networks

Abstract: We study the noisy voter model using a specific non-linear dependence of the rates that takes into account collective interaction between individuals. The resulting model is solved exactly under the all-to-all coupling configuration and approximately in some random networks environments. In the all-to-all setup we find that the non-linear interactions induce "bona fide" phase transitions that, contrarily to the linear version of the model, survive in the thermodynamic limit. The main effect of the complex network is to shift the transition lines and modify the finite-size dependence, a modification that can be captured with the introduction of an effective system size that decreases with the degree heterogeneity of the network. A non-trivial finite-size dependence of the moments of the probability distribution is derived from our treatment, nevertheless mean-field exponents are obtained in the thermodynamic limit. These theoretical predictions are well confirmed by numerical simulations of the stochastic process.
Subjects: Physics and Society (physics.soc-ph); Statistical Mechanics (cond-mat.stat-mech)
Cite as: arXiv:1803.06861 [physics.soc-ph]
  (or arXiv:1803.06861v1 [physics.soc-ph] for this version)

Submission history

From: Raul Toral [view email]
[v1] Mon, 19 Mar 2018 10:31:49 GMT (140kb)