Browsing by Subject "Partition function"
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Item Open Access On the uniqueness of Gibbs states in the Pirogov-Sinai theory(World Scientific Publishing Co. Pte. Ltd., 2006) Kerimov, A.We consider models of classical statistical mechanics satisfying natural stability conditions: a finite spin space, translation-periodic finite potential of finite range, a finite number of ground states meeting Peierls or Gertzik-Pirogov-Sinai condition. The Pirogov-Sinai theory describes the phase diagrams of these models at low temperature regimes. By using the method of doubling and mixing of partition functions we give an alternative elementary proof of the uniqueness of limiting Gibbs states at low temperatures in ground state uniqueness region. © World Scientific Publishing Company.Item Open Access One-Dimensional Long Range Widom-Rowlinson Model with Periodic Particle Activities(World Scientific Publishing Company, 2013) Sensoy A.Item Open Access One-dimensional non-symmetric Widom-Rowlinson model with long-range interaction(World Scientific Publishing Co. Pte. Ltd., 2007) Kerimov, A.The absence of phase transitions in one-dimensional Widom-Rowlinson model with long-range interaction is established in the non-symmetric case when different particles have different activity parameters. © World Scientific Publishing Company.