Voter Dynamics on an Ising Ladder: Coarsening and Persistence

Details Voter Dynamics on an Ising Ladder: Coarsening and Persistence Voter Dynamics on an Ising Ladder: Coarsening and Persistence

2005-01-31

arxiv.org/abs/cond-mat/0501754v2

J. Phys. A: Math. Gen. 38 (2005) 5441-5451

Physics

Condensed Matter

Statistical Mechanics

replaced with published version (text somewhat expanded): 11 pages, 2 figures

Scientific paper

10.1088/0305-4470/38/24/004

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 $t^{-\theta_{s}}$ under sequential dynamics, and as $t^{-\theta_{p}}$ under parallel dynamics where $\theta_{p} = 2 \theta_{s} \approx .88$. 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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