Each site copies a random neighbor's opinion — consensus emerges via coarsening
8
Step: 0
Magnetization: 0.00
Consensus: —
The voter model is exactly solvable in 1D and 2D. In d≤2, consensus is reached almost surely (recurrent random walk). In d>2, coexistence survives (transient walk). Domain boundaries perform random walks and annihilate on collision — coarsening time scales as N² in 2D.