The self-consistent diagram approximation for lattice systems |
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Authors: | GS Bokun YaG Groda VV Belov C Uebing VS Vikhrenko |
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Institution: | (1) Belarussian State Technological University 13a Sverdlova Str., Minsk 220 050, Belarus, BY;(2) Max-Planck-Institut für Eisenforschung, Postfach 140 444, 40074 Düsseldorf, Germany, DE |
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Abstract: | We apply the self-consistent diagram approximation to calculate equilibrium properties of lattice systems. The free energy
of the system is represented by a diagram expansion in Mayer-like functions with averaging over states of a reference system.
The latter is defined by one-particle mean potentials, which are calculated using the variational condition formulated. As
an example, numerical computations for a two-dimensional lattice gas on a square lattice with attractive interaction between
nearest neighbours were carried out. The critical temperature, the phase coexistence curve, the chemical potential and particle
and vacancy distribution functions coincide within a few per cent with exact or with Monte Carlo data.
Received 18 March 1999 and Received in final form 8 November 1999 |
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Keywords: | PACS 05 50 +q Lattice theory and statistics (Ising Potts etc ) - 05 70 Ce Thermodynamic functions and equations of state - 64 60 -i General studies of phase transitions |
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