DIAGRAMMATIC APPROACH TO GAS-LIQUID PHASE TRANSITION IN STATISTICAL THEORY
DOI:
https://doi.org/10.32782/2618-0340-2018-2-24-34Keywords:
lattice gas, interaction potential, partition function, fugacity, chemical potential, virial expansion, phase transitionAbstract
In frameworks of equilibrium statistical mechanics it is proposed the analytic algorithm of sequential approximations construction when the pressure is calculated in the lattice gas model. The pressure is assumed as the function that depends on the temperature and the particle density. The algorithm is built on the basis of the virial expansion. The obtained thermodynamic function describes the gas-liquid phase transition such that the density depending on pressure has the jump if the temperature value is less than the critical one. The algorithm permits to calculate system phase diagrams together with the critical point. The formula of the pressure obtained at zero approximation corresponds to well-known average field approximation.
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