Anomalous diffusion in nonlinear transformations of the noisy voter model

Voter models are well known in the interdisciplinary community, yet they have not been studied from the perspective of anomalous diffusion. In this paper, we show that the original voter model exhibits a ballistic regime. Nonlinear transformations of the observation variable and time scale allow us to observe other regimes of anomalous diffusion as well as normal diffusion. We show that numerical simulation results coincide with derived analytical approximations describing the temporal evolution of the raw moments.

Automated summary

This paper examines the behavior of voter models in terms of anomalous diffusion, showing that the original model exhibits a ballistic regime. Through numerical simulations and analytical approximations, the study reveals different diffusion regimes and confirms the temporal evolution of the raw moments.