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Diffraction spectrum of lattice gas models above T_c

Mathematical Physics 2008-03-11 v1 math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0405064,
  title  = {Diffraction spectrum of lattice gas models above T_c},
  author = {Michael Baake and Bernd Sing},
  journal= {arXiv preprint arXiv:math-ph/0405064},
  year   = {2008}
}

Comments

9 pages, no figures

R2 v1 2026-07-22T16:24:31.289Z