Kinetic Ising model in an oscillating field: Finite-size scaling at the dynamic phase transition

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Accepted by Physical Review Letters. 9 pages

Scientific paper

10.1103/PhysRevLett.81.834

We study hysteresis for a two-dimensional, spin-1/2, nearest-neighbor, kinetic Ising ferromagnet in an oscillating field, using Monte Carlo simulations. The period-averaged magnetization is the order parameter for a proposed dynamic phase transition (DPT). To quantify the nature of this transition, we present the first finite-size scaling study of the DPT for this model. Evidence of a diverging correlation length is given, and we provide estimates of the transition frequency and the critical indices $\beta$, $\gamma$ and $\nu$.

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