Geodesic
Small-parameter series for the surface tension in a lattice model
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 3, pp. 424-431 Cet article a éte moissonné depuis la source Math-Net.Ru

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For a lattice model a new method of description is proposed. It is based on the use of the particle number density and the vacancy number density simultaneously and makes it possible to use the well-known diagram technique of the theory of a classical liquid for two-phase states. In the low-temperature region an expansion for the surface tension with respect to a small parameter is obtained. The critical temperature and critical exponent of the surface tension are determined by the standard methods from the coefficients of the low-temperature expansion. The problem of an adsorption layer is considered. 
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     author = {V. L. Kuz'min},
     title = {Small-parameter series for the surface tension in a~lattice model},
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     pages = {424--431},
     year = {1988},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a10/}
}
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V. L. Kuz'min. Small-parameter series for the surface tension in a lattice model. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 3, pp. 424-431. http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a10/

[1] Roulinson D. Sh., Uidom B., Molekulyarnaya teoriya kapillyarnosti, Mir, M., 1986

[2] Smirnova N. A., Fluid Phase Equilibria, 2 (1978), 1 | DOI

[3] Tovbin Yu. K., Poverkhnost. Fizika, khimiya, mekhanika, 1985, no. 6, 33

[4] Kuzmin V. L., Rusanov A. I., Kolloidnyi zh., 46:3 (1984), 449–459

[5] Kuzmin V. L., TMF, 28:3 (1976), 389–397

[6] Parola A., Reatto L., Physica, 125A:1 (1984), 255–260 | DOI | MR

[7] Shulepov Yu. V., Aksenenko E. V., Reshetochnyi gaz, Naukova dumka, Kiev, 1981

[8] Kuzmin V. L., Kolloidnyi zh., 45:3 (1983), 578–580

[9] Abraham D. B., J. Stat. Phys., 34:5 (1984), 793–801 | DOI | MR

[10] Dobrushin R. L., Teoriya veroyatn. i ee prilozh., 17 (1972), 619–639 | Zbl

[11] Dobrushin R. L., Teoriya veroyatn. i ee prilozh., 18 (1973), 261–271 | Zbl

[12] Van Baegeren H., Commun. Math. Phys., 40:1 (1975), 1 | DOI | MR | Zbl

[13] Lee T. D., Yang C. N., Phys. Rev., 87:2 (1952), 410–417 | DOI | MR

[14] Gaunt D. S., Fisher M. E., J. Chem. Phys., 43:8 (1965), 2840–2863 | DOI | MR

[15] Springgate M. W., Poland D., J. Chem. Phys., 62:2 (1975), 680–689 | DOI | MR

[16] Springgate M. W., Poland D., Phys. Rev. A, 20:3 (1979), 1267–1284 | DOI

[17] Aksenenko E. V., J. Phys. A, 17:11 (1984), 555–2593 | DOI

[18] Morita T., Hiroike K., Progr. Theor. Phys., 25:2 (1961), 531–578 | MR

[19] Tahir-Kheli R. A., Phys. Rev., 169:3 (1968), 517–523 | DOI

[20] Binder K. (red.), Metody Monte-Karlo v statisticheskoi fizike, Mir, M., 1982 | MR

[21] Sykes M. F., Gaunt D. S., Roberts P. D., Wyles J. A., J. Phys. A, 5:3 (1972), 640 | DOI

[22] McKenzie S., J. Phys. A, 8:1 (1975), L102 | DOI | MR

[23] Domb C., Sykes M. F., Proc. Roy. Soc. A, 240:1 (1957), 214 | DOI | Zbl

[24] Basuev A. G., DAN SSSR, 1988