This article is cited in 5 scientific papers (total in 5 papers)
Kinetic Monte Carlo method: mathematical foundations and applications to physics of low-dimensional nanostructures
S. V. Kolesnikov, A. M. Saletsky, S. A. Dokukin, A. L. Klavsyuk
Faculty of Physics, Moscow State University
The kinetic Monte Carlo method is essential tool for investigation of atomic and molecular systems. It is applicable for the wide range of problems such as the atomic diffusion, the formation of crystal defects and chemical compounds, the growth and the self-organization of nanostructures. In the present review we consider the basic principles of the kinetic Monte Carlo method and its modern modifications both lattice and non-lattice. The special attention is focused on the self-learning algorithms constructed from different saddle point finding methods and the algorithms for kinetic Monte Carlo acceleration. All methods are illustrated by the actual examples, the most of them are connected with the physics of metal surfaces.
kinetic Monte Carlo, self-organization, nanostructures.
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S. V. Kolesnikov, A. M. Saletsky, S. A. Dokukin, A. L. Klavsyuk, “Kinetic Monte Carlo method: mathematical foundations and applications to physics of low-dimensional nanostructures”, Matem. Mod., 30:2 (2018), 48–80
Citation in format AMSBIB
\by S.~V.~Kolesnikov, A.~M.~Saletsky, S.~A.~Dokukin, A.~L.~Klavsyuk
\paper Kinetic Monte Carlo method: mathematical foundations and applications to physics of low-dimensional nanostructures
\jour Matem. Mod.
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S. V. Kolesnikov, A. M. Saletsky, “Electromigration of small vacancy clusters on the (100) copper surface”, JETP Letters, 108:1 (2018), 18–22
A. G. Syromyatnikov, A. M. Saletsky, A. L. Klavsyuk, “Dependence of the distribution of atomic chain lengths on a vicinal surface on external parameters”, JETP Letters, 107:12 (2018), 766–769
S. A. Dokukin, S. V. Kolesnikov, A. M. Saletsky, “Diffusion of atomic dimers during the formation of a pt/cu(111) surface alloy”, Mosc. Univ. Phys. Bull., 74:4 (2019), 385–391
A. G. Syromyatnikov, A. M. Saletsky, A. L. Klavsyuk, “Stability and magnetism on the atomic scale: atom-wide wires on vicinal metal substrate”, J. Magn. Magn. Mater., 510 (2020), 166896
A. G. Syromyatnikov, S. V. Kolesnikov, A. M. Saletsky, A. L. Klavsyuk, “Formation and properties of metallic atomic chains and wires”, Phys. Usp., 64:7 (2021), 671–701
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