Improved kinetic description of fast relaxation of cylindrical micelles

Результат исследований: Научные публикации в периодических изданияхстатья

3 Цитирования (Scopus)

Выдержка

On the basis of the linearized analytical and numerical kinetic description of stepwise aggregation of surfactant aggregates, the hierarchical relaxation times have been found for a polydisperse micellar system close and above the critical micellar concentration. The description was based on the difference and differential Becker–Döring kinetic equations with using a specific boundary condition and improved models for the attachment rates of surfactant monomers to cylindrical aggregates. Two models have been considered: the linear model for cylindrical aggregates and the attachment rate to elongated spheroidal aggregates. The rate of attachment of monomers to an elongated spheroidal aggregate was found explicitly as a function of the aggregation number. With applying the truncation techniques, the analytical solution of differential kinetic equations for fast relaxation of polydisperse micellar systems has been obtained for a linear model of the aggregation rate. In the case of the attachment rate for an elongated spheroidal aggregate, the semi-analytical solution has been found.

Язык оригиналаанглийский
Страницы (с-по)299-311
Число страниц13
ЖурналPhysica A: Statistical Mechanics and its Applications
Том518
DOI
СостояниеОпубликовано - 15 мар 2019

Отпечаток

Micelles
micelles
Kinetics
attachment
kinetics
Aggregation
Agglomeration
Surfactant
Kinetic Equation
Surface-Active Agents
kinetic equations
Linear Model
Analytical Solution
monomers
Monomers
surfactants
Differential equation
Relaxation Time
Truncation
Relaxation time

Предметные области Scopus

  • Физика конденсатов
  • Химия (все)
  • Теория вероятности и статистика

Цитировать

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abstract = "On the basis of the linearized analytical and numerical kinetic description of stepwise aggregation of surfactant aggregates, the hierarchical relaxation times have been found for a polydisperse micellar system close and above the critical micellar concentration. The description was based on the difference and differential Becker–D{\"o}ring kinetic equations with using a specific boundary condition and improved models for the attachment rates of surfactant monomers to cylindrical aggregates. Two models have been considered: the linear model for cylindrical aggregates and the attachment rate to elongated spheroidal aggregates. The rate of attachment of monomers to an elongated spheroidal aggregate was found explicitly as a function of the aggregation number. With applying the truncation techniques, the analytical solution of differential kinetic equations for fast relaxation of polydisperse micellar systems has been obtained for a linear model of the aggregation rate. In the case of the attachment rate for an elongated spheroidal aggregate, the semi-analytical solution has been found.",
keywords = "Aggregation, Becker–D{\"o}ring equation, Cylindrical micelles, Kinetics, Relaxation, Self-assembly and disassembly, SURFACTANT SOLUTIONS, EQUATIONS, TRANSITION, MICELLIZATION, Becker-Doring equation, SYSTEMS, WORK, AGGREGATION",
author = "Adzhemyan, {L. Ts} and Eroshkin, {Yu A.} and Shchekin, {A. K.} and Babintsev, {I. A.}",
year = "2019",
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Improved kinetic description of fast relaxation of cylindrical micelles. / Adzhemyan, L. Ts; Eroshkin, Yu A.; Shchekin, A. K.; Babintsev, I. A.

В: Physica A: Statistical Mechanics and its Applications, Том 518, 15.03.2019, стр. 299-311.

Результат исследований: Научные публикации в периодических изданияхстатья

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AU - Eroshkin, Yu A.

AU - Shchekin, A. K.

AU - Babintsev, I. A.

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N2 - On the basis of the linearized analytical and numerical kinetic description of stepwise aggregation of surfactant aggregates, the hierarchical relaxation times have been found for a polydisperse micellar system close and above the critical micellar concentration. The description was based on the difference and differential Becker–Döring kinetic equations with using a specific boundary condition and improved models for the attachment rates of surfactant monomers to cylindrical aggregates. Two models have been considered: the linear model for cylindrical aggregates and the attachment rate to elongated spheroidal aggregates. The rate of attachment of monomers to an elongated spheroidal aggregate was found explicitly as a function of the aggregation number. With applying the truncation techniques, the analytical solution of differential kinetic equations for fast relaxation of polydisperse micellar systems has been obtained for a linear model of the aggregation rate. In the case of the attachment rate for an elongated spheroidal aggregate, the semi-analytical solution has been found.

AB - On the basis of the linearized analytical and numerical kinetic description of stepwise aggregation of surfactant aggregates, the hierarchical relaxation times have been found for a polydisperse micellar system close and above the critical micellar concentration. The description was based on the difference and differential Becker–Döring kinetic equations with using a specific boundary condition and improved models for the attachment rates of surfactant monomers to cylindrical aggregates. Two models have been considered: the linear model for cylindrical aggregates and the attachment rate to elongated spheroidal aggregates. The rate of attachment of monomers to an elongated spheroidal aggregate was found explicitly as a function of the aggregation number. With applying the truncation techniques, the analytical solution of differential kinetic equations for fast relaxation of polydisperse micellar systems has been obtained for a linear model of the aggregation rate. In the case of the attachment rate for an elongated spheroidal aggregate, the semi-analytical solution has been found.

KW - Aggregation

KW - Becker–Döring equation

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KW - Kinetics

KW - Relaxation

KW - Self-assembly and disassembly

KW - SURFACTANT SOLUTIONS

KW - EQUATIONS

KW - TRANSITION

KW - MICELLIZATION

KW - Becker-Doring equation

KW - SYSTEMS

KW - WORK

KW - AGGREGATION

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