Dynamic structure factor of the Ising model with purely relaxational dynamics

Abstract

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.

21 pages, 3 figures

References in corpus (5)

• 25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple cubic lattice
• Two-loop Critical Fluctuation-Dissipation Ratio for the Relaxational Dynamics of the O(N) Landau-Ginzburg Hamiltonian
• Aging in ferromagnetic systems at criticality near four dimensions
• Numerical equation of state and other scaling functions from an improved three-dimensional Ising model
• Critical structure factor in Ising systems

Cited by in corpus (5)

• Ageing Properties of Critical Systems
• Critical dynamics in thin films
• Dynamic critical behavior of the Swendsen--Wang Algorithm for the three-dimensional Ising model
• Multipartite entanglement in the 1-D spin-$\frac{1}{2}$ Heisenberg Antiferromagnet
• Static and dynamic structure factors in three-dimensional randomly diluted Ising models