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Dynamic structure factor of the three-dimensional Ising model with purely relaxational dynamics

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2003-07-11
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American Physical Society
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We compute the dynamic structure factor for the three-dimensional Ising model with a purely relaxational dynamics (model A). We perform a perturbative calculation in the e 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 frequency ω and momentum k. In the region we can investigate, kξ≤5, ωϮ≤10, where ξ is the correlation length and Ϯ is the zero-momentum autocorrelation time, deviations are at most of a few percent.
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© 2003 The American Physical Society. This work was partly supported by MCyT (Spain), Project Nos. FPA2001-1813 and FPA2000-0956.
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