We consider an infinite system of point particles in \( {\mathrm{\mathbb{R}}}^d \) interacting via a strong superstable two-body potential ϕ of finite range with radius R. In the language of correlation functions, we obtain a simple proof of the decay of correlations between two clusters (groups of variables) in the case where the distance between these clusters is larger than the radius of interaction. The established result is true for sufficiently small values of the activity of particles.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 8, pp. 1084–1095, August, 2017.
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Rebenko, O.L., Tertychnyi, M.V. Property of Mixing of Continuous Classical Systems with Strong Superstable Interactions. Ukr Math J 69, 1262–1274 (2018). https://doi.org/10.1007/s11253-017-1429-0
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DOI: https://doi.org/10.1007/s11253-017-1429-0