TY - JOUR

T1 - Improved kinetic description of fast relaxation of cylindrical micelles

AU - Adzhemyan, L. Ts

AU - Eroshkin, Yu A.

AU - Shchekin, A. K.

AU - Babintsev, I. A.

PY - 2019/3/15

Y1 - 2019/3/15

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

KW - Cylindrical micelles

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

UR - http://www.scopus.com/inward/record.url?scp=85058441293&partnerID=8YFLogxK

U2 - 10.1016/j.physa.2018.11.057

DO - 10.1016/j.physa.2018.11.057

M3 - Article

AN - SCOPUS:85058441293

VL - 518

SP - 299

EP - 311

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

ER -