Diffraction spectrum of lattice gas models above T_c
arXiv:math-ph/0405064 · doi:10.1023/B:MATH.0000045555.93532.6d
Abstract
The diffraction spectra of lattice gas models on Z^d with finite-range ferromagnetic two-body interaction above T_c or with certain rates of decay of the potential are considered. We show that these diffraction spectra almost surely exist, are Z^d-periodic and consist of a pure point part and an absolutely continuous part with continuous density.
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