Abstract
We study the spectrum of the generatorH β of the Glauber dynamics for a model of planar rotators on a lattice in the case of a high temperature 1/β. We construct two so-called one-particle subspacesH ± forH β and describe the spectrum of the generator in these subspaces. As a consequence we find time asymptotics of the correlations for the Glauber dynamics.
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Kondratiev, Y.G., Minlos, R.A. One-particle subspaces in the stochasticXY model. J Stat Phys 87, 613–642 (1997). https://doi.org/10.1007/BF02181240
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DOI: https://doi.org/10.1007/BF02181240