Abstract
A three-dimensional lattice gas approximation for multilayer adsorbates is substantiated on the basis of statistical physics. In addition, some problems of equilibrium thermodynamics and kinetics are formulated, and a number of approximations are derived. A detailed kinetic theory of thin film growth, which is complementary to the applied approaches based on phenomenological models, thermodynamics of nonequilibrium processes, and solid medium and lattice gas models, is developed.
Similar content being viewed by others
References
G. V. Dubrovskiy, “Realistic kinetic boundary conditions at surfaces,” in:Proc. of 17th Int. Symp. Raref. Gas Dynamics. Vol. 158, University of British Columbia, Vancouver, Canada (1994), p. 554.
G. V. Dubrovskiy,Poverkhnost. Fiz., Khim., Mekh., No. 3, 29 (1994).
G. V. Dubrovskiy and V. V. Kozachek,Kolloid Zh.,56, No. 3, 354 (1994).
S. Brunauer, P. H. Emmet, and E. Teller,J. Chem. Soc.,60, 309 (1938).
E. Flada (ed.),The gas-solid matter interphase boundary [Russian translation], Mir, Moscow (1970).
R. H. Oliveira and M. Griffits,Surf. Sci.,71, 687 (1978).
G. F. Mazenko and O. T. Valls,Phys. Rev. B.,24, 1404 (1981).
R. Kariotis and M. G. Lagally,Surf. Sci.,216, 557 (1989).
H. Asada,Surf. Sci.,230, 323 (1990).
H. Asada and H. Sekuto,Surf. Sci.,258, L697 (1991).
H. J. Kreuzer,Surf. Sci.,238, 305 (1990).
H. J. Kreuzer,Phys. Rev. B.,44, No. 13, 1232 (1991).
D. D. Vvedensky, A. Zangwill, C. N. Luse, and M. R. Wilby,Phys. Rev. E.,48, No. 4, 852 (1993).
S. A. Kukushkin,Poverkhnost. Fiz., Khim., Mekh., No. 10, 53 (1986).
A. V. Osipov,Poverkhnost. Fiz., Khim., Mekh., No. 11, 116 (1989).
V. I. Trofimov,Poverkhnost. Fiz., Khim., Mekh., No. 12, 15 (1989).
V. Z. BelenkiiDokl.Akad. Nauk SSSR,306, 831 (1989).
S. A. Kukushkin,Poverkhnost. Fiz., Khim., Mekh., No. 11, 22 (1990).
A. V. Osipov,Metallofizika,12, 44 (1990).
V. G. Dubrovskiy,Phys. Stat. Solidi (b),172 (1992).
H. J. Kreuzer and S. H. Payne,Surf. Sci.,205, 153 (1988).
A. Mazor, D. I. Strolovitz, P. S. Hagan, and B. G. Bukiet,Phys. Rev. Lett.,60, 424 (1988).
V. M. Genkin and A. A. Fraerman,J. Cryst. Growth.,89, 387 (1988).
M. Kardar, G. Parisi, and I. Zhang,Phys. Rev. Lett.,56, 889 (1986).
V. G. Dubrovskiy,Thesis [in Russian], IAP Akad. Nauk SSSR, Leningrad (1990).
K. Krokston,Physics of the Liquid State [Russian translation], Mir, Moscow (1990).
K. Binder (ed.),Monte-Carlo Methods in Statistical Physics [Russian translation], Mir, Moscow (1982).
K. Dunken and V. Lygin,Quantum chemistry of adsorption at the surfaces of solid bodies [Russian translation], Mir, Moscow (1980).
M. Roberts, “Chemistry of the Metal-Gas Interface,” in:Monographs on the Physics and Chemistry of Materials (C. S. McCee, ed.), Oxford University Press (1979).
A. N. Vasiliev,Functional Methods in the Quantum Field Theory and Statistical Physics [in Russian], LSU Publishers, Leningrad (1976).
K. Cherchinjani,Theory and Applications of the Boltzmann Equation [Russian translation], Mir, Moscow (1978).
R. T. Glauber,Math. Phys.,4, No. 3, 294 (1963).
H. J. Kreuzer and H. W. Gortel,Physosorption Kinetics, Springer, Berlin (1985).
Author information
Authors and Affiliations
Additional information
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 105, No. 1, pp. 130–148, October, 1995.
Rights and permissions
About this article
Cite this article
Dubrovskiy, G.V., Kuzmenko, A.V. & Markoff, Y.G. A three-dimensional lattice gas approximation for multilayer adsorption. Theor Math Phys 105, 1291–1306 (1995). https://doi.org/10.1007/BF02067494
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02067494