Voter Dynamics on an Ising Ladder: Coarsening and Persistence
Prabodh Shukla
Abstract
Coarsening and persistence of Ising spins on a ladder is examined under voter dynamics. The density of domain walls decreases algebraically with time as t-1/2 for sequential as well as parallel dynamics. The persistence probability decreases as t-θs under sequential dynamics, and as t-θp under parallel dynamics where θp = 2 θs ≈ .88. Numerical values of the exponents are explained. The results are compared with the voter model on one and two dimensional lattices, as well as Ising model on a ladder under zero-temperature Glauber dynamics.
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