Kerimov, A.2016-02-082016-02-0819930022-4715http://hdl.handle.net/11693/26039The absence of phase transitions in a one-dimensional model with long-range antiferromagnetic potential is established at low temperatures when the ground states have a rational density. A description of the set of all ground states and typical configurations is given. © 1993 Plenum Publishing Corporation.EnglishExtreme Gibbs stateGibbs stateGround stateHamiltonianInteracting and noninteracting contoursAbsence of phase transitions in one-dimensional antiferromagnetic models with long-range interactionsArticle10.1007/BF010480251572-9613