Anomalous diffusion in nonlinear transformations of the noisy voter model

Abstract

Voter models are well known in the interdisciplinary community, yet they haven't been studied from the perspective of anomalous diffusion. In this paper we show that the original voter model exhibits ballistic regime. Non-linear transformations of the observation variable and time scale allows 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.

11 pages, 7 figures

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Cited by in corpus (7)

• Anomalous Diffusion: Fractional Brownian Motion vs. Fractional Ito Motion
• Anomalous diffusion and long-range memory in the scaled voter model
• $1/f$ noise from the sequence of nonoverlapping rectangular pulses
• Understanding the nature of the long-range memory phenomenon in socioeconomic systems
• Resemblance of the power-law scaling behavior of a non-Markovian and nonlinear point processes
• Mean First Passage Time of the Symmetric Noisy Voter Model with Arbitrary Initial and Boundary Conditions
• Heterogeneous Cattaneo-Vernotte equation connection to the noisy voter model