Voter Model

Interface coarsening, consensus, and the role of zealots

Controls

State

A fraction:
B fraction:
Interface ρ:
Zealots A/B:
Consensus:
Time: 0

Theory

Voter Model: each site copies a random neighbor's opinion.

In 2D, coarsens algebraically:
ρ_interface ~ 1/(ln t)
Eventually reaches consensus in finite systems.

Zealots: committed individuals who never change opinion. Even a tiny zealot minority (~1%) can block consensus and pin a non-trivial steady state. Zealot A-fraction determines the long-run A-opinion frequency.