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Two-Particle Spectrum of the Generator for Stochastic Model of Planar Rotators at High Temperatures

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Abstract

We study two-particle spectrum branches of the generator in the stochastic model of planar rotators, using the construction of a special basis in two-particle invariant subspaces. We prove that the branches of the spectrum are in a small neighborhood of the point 2. We prove the existence of two bound states in addition to the continuous part of the spectrum in the one-dimensional case.

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Authors and Affiliations

  1. Institute for Information Transmission Problems RAN, Moscow, 101447, Russia;

    E. A. Zhizhina

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  1. E. A. Zhizhina
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Zhizhina, E.A. Two-Particle Spectrum of the Generator for Stochastic Model of Planar Rotators at High Temperatures. Journal of Statistical Physics 91, 343–368 (1998). https://doi.org/10.1023/A:1023004507830

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  • DOI: https://doi.org/10.1023/A:1023004507830

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