Geodesic
Multiphase behavior of large interacting molecules on a flat square lattice in the
Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 3, pp. 405-417 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the Percus–Yevick approximation, the total and direct correlation matrices of the molecules of a lattice gas are found in the case of infinite repulsion of first neighbors and finite interaction $\varepsilon$ ($\varepsilon<0$) of second neighbors on a square lattice. Calculations are made of the thermodynamic functions, whose behavior reveals the occurrence in the system of phase transitions, which are of the continuous (of the type of ordering) and first kind. The critical temperature $x_{\mathrm c}=\exp(-\beta_{\mathrm B}\varepsilon)=2{.}933$ ($\beta_{\mathrm B}=1/k_{\mathrm B}T$ is the reciprocal absolute temperature) and the critical density $\rho_{\mathrm c}=0{.}158$ are determined. The phase diagram of the system is constructed. 
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Yu. V. Shulepov. Multiphase behavior of large interacting molecules on a flat square lattice in the. Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 3, pp. 405-417. http://geodesic.mathdoc.fr/item/TMF_1983_56_3_a7/

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