Global persistence exponent of the double-exchange model

Abstract

We obtained the global persistence exponent ${\theta }_g$ for a continuous spin model on the simple cubic lattice with double-exchange interaction by using two different methods. First, we estimated the exponent ${\theta }_g$ by following the time evolution of probability $P(t)$ that the order parameter of the model does not change its sign up to time $t$ $[P(t)\sim t^{-{\theta }_g}]$. Afterwards, that exponent was estimated through the scaling collapse of the universal function $L^{{\theta }_{g}z}P(t)$ for different lattice sizes. Our results for both approaches are in very good agreement each other.

4 pages, 3 figures, and 3 tables. To appear in Physical Review E

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