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Kinetic models of self-organization effects in lattice systems. / Dubrovskii, V. G.; Cirlin, G. E.; Bauman, D. A.; Kozachek, V. V.; Mareev, V. V.

In: Physica A: Statistical Mechanics and its Applications, Vol. 260, No. 3-4, 15.11.1998, p. 349-373.

Research output: Contribution to journal › Article › peer-review

Harvard

Dubrovskii, VG, Cirlin, GE, Bauman, DA, Kozachek, VV & Mareev, VV 1998, 'Kinetic models of self-organization effects in lattice systems', Physica A: Statistical Mechanics and its Applications, vol. 260, no. 3-4, pp. 349-373. https://doi.org/10.1016/S0378-4371(98)00275-1

APA

Dubrovskii, V. G., Cirlin, G. E., Bauman, D. A., Kozachek, V. V., & Mareev, V. V. (1998). Kinetic models of self-organization effects in lattice systems. Physica A: Statistical Mechanics and its Applications, 260(3-4), 349-373. https://doi.org/10.1016/S0378-4371(98)00275-1

Vancouver

Dubrovskii VG, Cirlin GE, Bauman DA, Kozachek VV, Mareev VV. Kinetic models of self-organization effects in lattice systems. Physica A: Statistical Mechanics and its Applications. 1998 Nov 15;260(3-4):349-373. https://doi.org/10.1016/S0378-4371(98)00275-1

Author

Dubrovskii, V. G. ; Cirlin, G. E. ; Bauman, D. A. ; Kozachek, V. V. ; Mareev, V. V. / Kinetic models of self-organization effects in lattice systems. In: Physica A: Statistical Mechanics and its Applications. 1998 ; Vol. 260, No. 3-4. pp. 349-373.

BibTeX

@article{2ca3d2bd19dc4c2cac4d7aec9d340ad2,
title = "Kinetic models of self-organization effects in lattice systems",
abstract = "A non-linear model for time-dependent occupation of lattice gas sites is studied. A self-consistent approximation for the diffusion operator is proposed and studied in discrete and continual forms. It is shown that self-organization effects in the spinodal region lead to a spontaneous transformation of an unstable uniform ground state into an array of self-assembled islands. The relationship between the model and the theory of first-order phase transitions is discussed. The model is applied to the study of self-organization in three-dimensional adsorbates with attractive lateral interactions. A special emphasis is given to the description of a spontaneous islanding during molecular beam epitaxy and related growth techniques. It is shown that the kinetic parameters strongly influence the morphology of space-ordered configurations of the system.",
keywords = "Adsorption, Lattice gas, Nanostructures, Self-organization",
author = "Dubrovskii, {V. G.} and Cirlin, {G. E.} and Bauman, {D. A.} and Kozachek, {V. V.} and Mareev, {V. V.}",
note = "Funding Information: The authors gratefully acknowlege helpful discussions with Prof. V.L. Kuzmin. This work was partially supported by Russian State Programme “Integration of Fundamental Science and High School” (Grant No. 326.75), Russian Foundation for Basic Research (grant No. 98 02 18317) and INTAS grant No. 96 0242. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.",
year = "1998",
month = nov,
day = "15",
doi = "10.1016/S0378-4371(98)00275-1",
language = "English",
volume = "260",
pages = "349--373",
journal = "Physica A: Statistical Mechanics and its Applications",
issn = "0378-4371",
publisher = "Elsevier",
number = "3-4",

}

RIS

TY - JOUR

T1 - Kinetic models of self-organization effects in lattice systems

AU - Dubrovskii, V. G.

AU - Cirlin, G. E.

AU - Bauman, D. A.

AU - Kozachek, V. V.

AU - Mareev, V. V.

N1 - Funding Information: The authors gratefully acknowlege helpful discussions with Prof. V.L. Kuzmin. This work was partially supported by Russian State Programme “Integration of Fundamental Science and High School” (Grant No. 326.75), Russian Foundation for Basic Research (grant No. 98 02 18317) and INTAS grant No. 96 0242. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.

PY - 1998/11/15

Y1 - 1998/11/15

N2 - A non-linear model for time-dependent occupation of lattice gas sites is studied. A self-consistent approximation for the diffusion operator is proposed and studied in discrete and continual forms. It is shown that self-organization effects in the spinodal region lead to a spontaneous transformation of an unstable uniform ground state into an array of self-assembled islands. The relationship between the model and the theory of first-order phase transitions is discussed. The model is applied to the study of self-organization in three-dimensional adsorbates with attractive lateral interactions. A special emphasis is given to the description of a spontaneous islanding during molecular beam epitaxy and related growth techniques. It is shown that the kinetic parameters strongly influence the morphology of space-ordered configurations of the system.

AB - A non-linear model for time-dependent occupation of lattice gas sites is studied. A self-consistent approximation for the diffusion operator is proposed and studied in discrete and continual forms. It is shown that self-organization effects in the spinodal region lead to a spontaneous transformation of an unstable uniform ground state into an array of self-assembled islands. The relationship between the model and the theory of first-order phase transitions is discussed. The model is applied to the study of self-organization in three-dimensional adsorbates with attractive lateral interactions. A special emphasis is given to the description of a spontaneous islanding during molecular beam epitaxy and related growth techniques. It is shown that the kinetic parameters strongly influence the morphology of space-ordered configurations of the system.

KW - Adsorption

KW - Lattice gas

KW - Nanostructures

KW - Self-organization

UR - http://www.scopus.com/inward/record.url?scp=0032207393&partnerID=8YFLogxK

U2 - 10.1016/S0378-4371(98)00275-1

DO - 10.1016/S0378-4371(98)00275-1

M3 - Article

AN - SCOPUS:0032207393

VL - 260

SP - 349

EP - 373

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 3-4

ER -

ID: 74831569