Voter Model — Opinion Dynamics

Consensus time, interface density, coarsening on networks

Parameters

Time: 0
Opinion A: 50%
Interface density ρ: 0.500
Status: Idle
Voter model: each step, pick random node → copy opinion of random neighbor.

On d=2 lattice: ρ(t) ~ 1/ln(t) slow coarsening. Consensus in finite system at T_c ~ N ln N.

Interface density ρ = fraction of edges with disagreeing neighbors. ρ→0 at consensus.

Topology