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Nucleation stage in supersaturated vapor with inhomogeneities due to nonstationary diffusion onto growing droplets. / Kuchma, A.; Markov, M.; Shchekin, A.

In: Physica A: Statistical Mechanics and its Applications, Vol. 402, 2013, p. 255-265.

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

Harvard

Kuchma, A, Markov, M & Shchekin, A 2013, 'Nucleation stage in supersaturated vapor with inhomogeneities due to nonstationary diffusion onto growing droplets', Physica A: Statistical Mechanics and its Applications, vol. 402, pp. 255-265. https://doi.org/10.1016/j.physa.2014.02.005

APA

Kuchma, A., Markov, M., & Shchekin, A. (2013). Nucleation stage in supersaturated vapor with inhomogeneities due to nonstationary diffusion onto growing droplets. Physica A: Statistical Mechanics and its Applications, 402, 255-265. https://doi.org/10.1016/j.physa.2014.02.005

Vancouver

Kuchma A, Markov M, Shchekin A. Nucleation stage in supersaturated vapor with inhomogeneities due to nonstationary diffusion onto growing droplets. Physica A: Statistical Mechanics and its Applications. 2013;402:255-265. https://doi.org/10.1016/j.physa.2014.02.005

Author

Kuchma, A. ; Markov, M. ; Shchekin, A. / Nucleation stage in supersaturated vapor with inhomogeneities due to nonstationary diffusion onto growing droplets. In: Physica A: Statistical Mechanics and its Applications. 2013 ; Vol. 402. pp. 255-265.

BibTeX

@article{12bb4901662d418580f194471cb966ce,
title = "Nucleation stage in supersaturated vapor with inhomogeneities due to nonstationary diffusion onto growing droplets",
abstract = "An analytical description of nucleation stage in a supersaturated vapor withinstantly created supersaturation is given with taking into account the vapor concentration inhomogeneities arising as a result of depletion due to non-stationary diffusion onto growing droplets. This description suggests that the intensity of the nucleation of new droplets is suppressed in spherical diffusion regions of a certain size surrounding previously nucleated droplets, and remains at the initial level in the remaining volume of the vapor-gas medium. The value of volume excluded from nucleation depends on the explicit form of the vapor concentration profile in the space around the growing droplet, and we use for that the unsteady self-similar solution of time-dependent diffusion equation with a convective term describing the flow of the gas-vapor mixture caused by moving surface of single growing droplet. The main characteristics of the phase transition at the end of the nucleation stage are found and compared with those in the theory of nucleation with homogeneousvapor consumption (the theory of mean-field vapor supersaturation).",
keywords = "phase transitions, kinetics, nucleation, droplets, non-stationary diffusion",
author = "A. Kuchma and M. Markov and A. Shchekin",
year = "2013",
doi = "10.1016/j.physa.2014.02.005",
language = "English",
volume = "402",
pages = "255--265",
journal = "Physica A: Statistical Mechanics and its Applications",
issn = "0378-4371",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Nucleation stage in supersaturated vapor with inhomogeneities due to nonstationary diffusion onto growing droplets

AU - Kuchma, A.

AU - Markov, M.

AU - Shchekin, A.

PY - 2013

Y1 - 2013

N2 - An analytical description of nucleation stage in a supersaturated vapor withinstantly created supersaturation is given with taking into account the vapor concentration inhomogeneities arising as a result of depletion due to non-stationary diffusion onto growing droplets. This description suggests that the intensity of the nucleation of new droplets is suppressed in spherical diffusion regions of a certain size surrounding previously nucleated droplets, and remains at the initial level in the remaining volume of the vapor-gas medium. The value of volume excluded from nucleation depends on the explicit form of the vapor concentration profile in the space around the growing droplet, and we use for that the unsteady self-similar solution of time-dependent diffusion equation with a convective term describing the flow of the gas-vapor mixture caused by moving surface of single growing droplet. The main characteristics of the phase transition at the end of the nucleation stage are found and compared with those in the theory of nucleation with homogeneousvapor consumption (the theory of mean-field vapor supersaturation).

AB - An analytical description of nucleation stage in a supersaturated vapor withinstantly created supersaturation is given with taking into account the vapor concentration inhomogeneities arising as a result of depletion due to non-stationary diffusion onto growing droplets. This description suggests that the intensity of the nucleation of new droplets is suppressed in spherical diffusion regions of a certain size surrounding previously nucleated droplets, and remains at the initial level in the remaining volume of the vapor-gas medium. The value of volume excluded from nucleation depends on the explicit form of the vapor concentration profile in the space around the growing droplet, and we use for that the unsteady self-similar solution of time-dependent diffusion equation with a convective term describing the flow of the gas-vapor mixture caused by moving surface of single growing droplet. The main characteristics of the phase transition at the end of the nucleation stage are found and compared with those in the theory of nucleation with homogeneousvapor consumption (the theory of mean-field vapor supersaturation).

KW - phase transitions

KW - kinetics

KW - nucleation

KW - droplets

KW - non-stationary diffusion

U2 - 10.1016/j.physa.2014.02.005

DO - 10.1016/j.physa.2014.02.005

M3 - Article

VL - 402

SP - 255

EP - 265

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

ER -

ID: 98503950