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An order-by-order construction of low-temperature phase diagrams for classical lattice systems
Authors:Maciek Tarnawski
Institution:(1) Institute of Physics, Technical University, 50–370 Wroclaw, Poland
Abstract:An inductive algorithm is presented for the construction of phase diagrams by means of the low-temperature expansion technique. First the phase diagram is studied in the set of formal series. In each step, properties of this phase diagram are related to extremal elements of some family of convex sets. Approximations of the phase diagram in orderN are obtained by truncating all formal series at theNth term.This paper was presented at the Trebon, Czechoslovakia, Symposium September 1–6, 1986.
Keywords:Low-temperature expansions  formal phase diagram  many ground states
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