Dynamic structure factor of the Ising model with purely relaxational dynamics

Details Dynamic structure factor of the Ising model with purely relaxational dynamics Dynamic structure factor of the Ising model with purely relaxational dynamics

2003-01-30

arxiv.org/abs/cond-mat/0301588v1

Phys.Rev. E68 (2003) 016110

Physics

Condensed Matter

Statistical Mechanics

21 pages, 3 figures

Scientific paper

10.1103/PhysRevE.68.016110

We compute the dynamic structure factor for the Ising model with a purely relaxational dynamics (model A). We perform a perturbative calculation in the $\epsilon$ expansion, at two loops in the high-temperature phase and at one loop in the temperature magnetic-field plane, and a Monte Carlo simulation in the high-temperature phase. We find that the dynamic structure factor is very well approximated by its mean-field Gaussian form up to moderately large values of the frequency $\omega$ and momentum $k$. In the region we can investigate, $k\xi \lesssim 5$, $\omega \tau \lesssim 10$, where $\xi$ is the correlation length and $\tau$ the zero-momentum autocorrelation time, deviations are at most of a few percent.

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