We considered the Ising 1D chain in an external magnetic field taking into account the nearest and next-nearest neighbor interactions. By the method of Kramers--Wannier transfer-matrix, the rigorous analytical expression for Fourier-transform of pair spin-spin correlation function was obtained, and the temperature evolution of the scattering was analyzed for various relations of exchange parameters.
@article{arxiv.2206.09181,
title = {Diffuse scattering on Ising chain with competing interactions},
author = {A. V. Zarubin and F. A. Kassan-Ogly and A. I. Proshkin},
journal= {arXiv preprint arXiv:2206.09181},
year = {2022}
}