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

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Calabrese, Pasquale and Martín Mayor, Víctor and Pelissetto, Andrea and Vicari, Ettore (2003) Dynamic structure factor of the three-dimensional Ising model with purely relaxational dynamics. Physical review E, 68 (1 (2)). ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.68.016110




Abstract

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.


Item Type:Article
Additional Information:

© 2003 The American Physical Society. This work was partly supported by MCyT (Spain), Project Nos. FPA2001-1813 and FPA2000-0956.

Uncontrolled Keywords:Dispersion-theory approach; Critical-point scattering; Renormalization-group; Critical exponents; Field-theory; Monte-Carlo; Systems; Equation; State; Temperature.
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:46435
Deposited On:09 Mar 2018 09:23
Last Modified:09 Mar 2018 09:23

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