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arxiv: math-ph/0405064 · v1 · submitted 2004-05-27 · 🧮 math-ph · math.MP

Diffraction spectrum of lattice gas models above T_c

classification 🧮 math-ph math.MP
keywords diffractionabovecontinuouslatticemodelspartspectraabsolutely
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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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