caa a22 4500 467952302 CHVBK 20180405193743.0 cr unu---uuuuu 170328e20050101xx s 000 0 eng 10.1007/s10595-005-0047-y doi (NATIONALLICENCE)springer-10.1007/s10595-005-0047-y (NATIONALLICENCE)springer-10.1007/PL00021808 System of relaxation equations for materially isolated surfactant solution with spherical and cylindrical micelles [Elektronische Daten] [F. Kuni, A. Shchekin, A. Rusanov, A. Grinin] Analytical expressions for the direct and reverse fluxes of molecular aggregates over the first and second potential barriers of the aggregation work in the presence of spherical and cylindrical micelles in non-ionic surfactant solution were derived. Expressions for the sum (entering into kinetic equations of micellization) of direct and reverse fluxes of molecular aggregates over the first and second potential barriers of the aggregation work in the vicinity of the final equilibrium state of materially isolated surfactant solution were linearized. In the experimentally important range of the values of overall surfactant concentration in solution where the predominant contribution to the total surfactant amount is introduced by cylindrical micelles, we derived a closed system of two linearized relaxation equations determining the buildup (with time) of experimentally observed total concentrations of spherical and cylindrical micelles in the vicinity of the final equilibrium state of materially isolated surfactant solution. The case of the solutions of such surfactants, for which the spherical shape of a micelle appeared to be unrealizable due to the structure and packing conditions of molecules, was considered separately. MAIK "Nauka/Interperiodica”, 2005 Kuni F. Fock Research Institute of Physics, St. Petersburg State University, ul. Ul'yanovskaya 1, Petrodvorets, 198504, St. Petersburg, Russia aut Shchekin A. Fock Research Institute of Physics, St. Petersburg State University, ul. Ul'yanovskaya 1, Petrodvorets, 198504, St. Petersburg, Russia aut Rusanov A. Fock Research Institute of Physics, St. Petersburg State University, ul. Ul'yanovskaya 1, Petrodvorets, 198504, St. Petersburg, Russia aut Grinin A. Fock Research Institute of Physics, St. Petersburg State University, ul. Ul'yanovskaya 1, Petrodvorets, 198504, St. Petersburg, Russia aut Colloid Journal Nauka/Interperiodica 67/1(2005-01-01), 32-40 1061-933X 67:1<32 2005 67 10595 https://doi.org/10.1007/s10595-005-0047-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10595-005-0047-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kuni F. Fock Research Institute of Physics, St. Petersburg State University, ul. Ul'yanovskaya 1, Petrodvorets, 198504, St. Petersburg, Russia aut NATIONALLICENCE 700 1- Shchekin A. Fock Research Institute of Physics, St. Petersburg State University, ul. Ul'yanovskaya 1, Petrodvorets, 198504, St. Petersburg, Russia aut NATIONALLICENCE 700 1- Rusanov A. Fock Research Institute of Physics, St. Petersburg State University, ul. Ul'yanovskaya 1, Petrodvorets, 198504, St. Petersburg, Russia aut NATIONALLICENCE 700 1- Grinin A. Fock Research Institute of Physics, St. Petersburg State University, ul. Ul'yanovskaya 1, Petrodvorets, 198504, St. Petersburg, Russia aut NATIONALLICENCE 773 0- Colloid Journal Nauka/Interperiodica 67/1(2005-01-01), 32-40 1061-933X 67:1<32 2005 67 10595 NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00021808 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer