Abstract
Computer models belonging to the class of models of growth controlled by a gradient are investigated. A theoretical approach to the construction of model algorithms of this class allows us to obtain a wide variety of clusters with different structures, including fractal ones. A consideration of gradient increments to the potential leads to the formation of vertical, nonbranching, and insulated clusters corresponding to a long-range potential with large gradient.
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REFERENCES
V. I. Klyatskin and D. Gurarii, Usp. Fiz. Nauk, 169, No. 2, 171 (1999).
O. Bisi, S. Ossicini, and L. Pavesi, Surf. Sci. Rep., 38, 1 (2000).
V. V. Polyakov and S. V. Kruchinskii, Pis'ma Zh. Tekh. Fiz., 27, No. 14, 42 (2001).
G. C. John and V. A. Singh, Phys. Rep., 263, 93 (1995).
H. Gould and J. Tobochnik, An Introduction to Computer Simulation Methods: Applications to Physical Systems, Vol. 2 [Russian translation], Mir, Moscow (1990).
N. N. Mirolyubov, M. V. Kostenko, M. L. Levinshtein, and N. N. Tikhodeev, Methods of Calculating Electrostatic Fields [in Russian], Vysshaya Shkola, Moscow (1963).
L. D. Landau and E. M. Lifshits, Electrodynamics of Continuous Media, Vol. 8 [in Russian], Nauka, Moscow (1982).
V. I. Lavrik and V. N. Savenkov, Handbook of Conformal Mappings [in Russian], Naukova Dumka, Kiev (1970).
A. I. Ansel'm, Introduction to the Theory of Semiconductors [in Russian], Nauka, Moscow (1978).
V. Lehmann, J. Electrochem. Soc., 140, No. 10, 2836 (1993).
É. Yu. Buchin and A. V. Prokaznikov, Mikroelektronika, 27, No. 2, 107 (1998).
L. D. Landau and E. M. Lifshits, Elasticity Theory, Vol. 7 [in Russian], Nauka, Moscow (1987).
A. Roy and U. Mohideen, Phys. Rev. Lett., 82, No. 22, 4380 (1999).
É. Yu. Buchin, A. B. Churilov, and A. V. Prokaznikov, Appl. Surf. Sci., 102, 431 (1996).
S. A. Kaplii, A. V. Prokaznikov, and N. A. Rud', in: Abstracts of Reporst at the 3rd Russian Conf. Material Science and Physicochemical Principles of Technologies for Production of Doped Silicon Crystals and Instruments "Kremnii-2003," Moscow (2003), p. 389.
A. V. Prokaznikov and V. B. Svetovoy, Phys. Low-Dim. Struct., 9/10, 65 (2002).
É. Yu. Buchin, A. V. Prokaznikov, A. B. Churilov, et al., Mikroelektronika, 25, No. 4, 303 (1996).
V. I. Emelyanov, K. I. Eriomin, and V. V. Starkov, Laser Phys., 12 No. 12, 1432 (2002).
V. I. Beklemyshev, V. M. Gontar', V. V. Levenets, et al., Elektr. Prom., No. 5, 36 (1993).
C. C. Matthai, J. L. Cavartin, and A. A. Cafolla, Thin Solid Films, 255, 174 (1995).
. C. Levy-Clement, A. Lagoubi, and M. Tomkiewicz, J. Electrochem. Soc., 141, No. 4, 958 (1994).
L. Sandler, Fractals in Physics [Russian translation], Mir, Moscow (1988).
S. M. Sze, Physics of Semiconductor Devices, Vols. 1, 2 [Russian translation], Mir, Moscow (1984).
E. Yu. Babanov, A. V. Prokaznikov, and V. B. Svetovoy, Vacuum, 41, 902 (1990).
A. V. Prokaznikov, S. F. Maslenitsyn, A. A. Svyatchenko, and S. T. Pavlov, Solid State Commun., 90, No. 4, 217 (1994).
K. Grigoras, A. J. Niskanen, and S. Franssila, J. Micromech. Microeng., 11, 371 (2001).
H. Jansen, J. Micromech. Microeng., 5, 115 (1995).
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Kaplii, S.A., Prokaznikov, A.V. & Rud', N.A. Clusterization of Stochastically Wandering Particles in Potential Fields. Russian Physics Journal 47, 609–616 (2004). https://doi.org/10.1023/B:RUPJ.0000047842.42485.40
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DOI: https://doi.org/10.1023/B:RUPJ.0000047842.42485.40