For a system of classical one-dimensional oscillators on a d-dimensional hypercubic lattice that interact via a pair superstable potential and many-body positive finite potentials, the (lattice) Kirkwood–Salsburg equation is proposed and solved for the first time.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 10, pp. 1427–1433, October, 2008.
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Skrypnyk, V.I. Solutions of the Kirkwood–Salsburg equation for a lattice classical system of one-dimensional oscillators with positive finite-range many-body interaction potentials. Ukr Math J 60, 1666–1674 (2008). https://doi.org/10.1007/s11253-009-0161-9
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DOI: https://doi.org/10.1007/s11253-009-0161-9