Competition between long-range and short-range interactions in the voter model for opinion dynamics

Jacopo A. Garofalo (), Eugenio Lippiello () and Fabrizio Rippa ()
Additional contact information
Jacopo A. Garofalo: University of Campania “Luigi Vanvitelli”
Eugenio Lippiello: University of Campania “Luigi Vanvitelli”
Fabrizio Rippa: University of Campania “Luigi Vanvitelli”

The European Physical Journal B: Condensed Matter and Complex Systems, 2025, vol. 98, issue 3, 1-11

Abstract: Abstract The voter model is a widely used framework in sociophysics to model opinion formation based on local interactions between individuals. In this work, we investigate how the spread of consensus is affected by introducing long-range interactions. Specifically, we study a one-dimensional voter model where a fraction $$\gamma $$ γ of links connect individuals at distances r drawn from a distribution decaying as $$r^{-\sigma -1}$$ r - σ - 1 . Our results reveal that even a small fraction of long-range interactions fundamentally alters the system’s asymptotic behavior. When long-range interactions decay rapidly $$\sigma > 2$$ σ > 2 , their influence is restricted to distances beyond a time-dependent threshold, $$r^*(t)$$ r ∗ ( t ) . For $$r r^*(t)$$ r > r ∗ ( t ) , the correlation function transitions to a power-law decay, $$r^{-\sigma -1}$$ r - σ - 1 , highlighting the capacity of long-range links to propagate consensus across greater distances. When long-range interactions decay more slowly ( $$\sigma

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1140/epjb/s10051-025-00900-x Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:98:y:2025:i:3:d:10.1140_epjb_s10051-025-00900-x

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/s10051-025-00900-x

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().