Global persistence exponent of the double-exchange model

Details Global persistence exponent of the double-exchange model Global persistence exponent of the double-exchange model

2006-05-05

arxiv.org/abs/cond-mat/0605151v1

Phys. Rev. E 73, 057101 (2006)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.73.057101

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 $t$ $[P(t)\thicksim t^{-\theta_g}]$. 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.

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