TY - JOUR

T1 - The laws of establishing stationary composition in a droplet condensing in a binary vapor-gas environment

AU - Kuni, Fedor M.

AU - Lezova, Alexandra A.

AU - Shchekin, Alexander K.

PY - 2009/9/15

Y1 - 2009/9/15

N2 - It is shown that the mole fractions of components within a droplet growing in an atmosphere of two condensing gases and a carrier gas approach their stationary values with a power-law behavior in time on a large scale and with exponential behavior on a small scale for both diffusion-controlled and free-molecular regimes of isothermal condensation. The parameters of the power and the exponential laws are specified for each regime of binary condensation and are linked to the thermodynamic and kinetic characteristics of condensing vapors and to the stationary mole fractions of the components in a growing binary droplet. The stationary composition of the solution within the droplet is shown to be established at a comparatively small relative increase of the droplet radius. A relaxation equation for the droplet composition at arbitrary initial deviations of mole fractions from their stationary values has been solved, and the limitations on the initial deviations allowing monotonic establishment of stationary composition in solution within a growing droplet have been considered.

AB - It is shown that the mole fractions of components within a droplet growing in an atmosphere of two condensing gases and a carrier gas approach their stationary values with a power-law behavior in time on a large scale and with exponential behavior on a small scale for both diffusion-controlled and free-molecular regimes of isothermal condensation. The parameters of the power and the exponential laws are specified for each regime of binary condensation and are linked to the thermodynamic and kinetic characteristics of condensing vapors and to the stationary mole fractions of the components in a growing binary droplet. The stationary composition of the solution within the droplet is shown to be established at a comparatively small relative increase of the droplet radius. A relaxation equation for the droplet composition at arbitrary initial deviations of mole fractions from their stationary values has been solved, and the limitations on the initial deviations allowing monotonic establishment of stationary composition in solution within a growing droplet have been considered.

KW - Aerosol formation

KW - Binary condensation

KW - Diffusion-controlled regime

KW - Droplet growth

KW - Free-molecular regime

UR - http://www.scopus.com/inward/record.url?scp=67649652017&partnerID=8YFLogxK

U2 - 10.1016/j.physa.2009.05.043

DO - 10.1016/j.physa.2009.05.043

M3 - Article

AN - SCOPUS:67649652017

VL - 388

SP - 3728

EP - 3736

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 18

ER -