Geodesic
Simulation of micelles conduct using stochastic model of storage
Matematičeskoe modelirovanie, Tome 28 (2016) no. 1, pp. 47-64

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Aggregate of molecules of surfactants — the micelle — is regarded as a storage system according to stochastic theory of storage. Molecules with a given distribution come in it and come out by the given law. Expressions for the unsteady average and the second moment of a random number of molecules in a micelle and for the partition of equilibrium micelles are obtained. Conditions for the existence of а potential well corresponding to possibility of the existence of micelles are found for a given input and output models. Also a limitations on the existence of stationary distributions for the number of monomers in a micelle are defined. Lifetimes of micelles are estimated in micellar and critical areas.
Mots-clés : micelles, distribution.
Keywords: stochastic storage model 
@article{MM_2016_28_1_a3,
     author = {V. V. Ryazanov},
     title = {Simulation of micelles conduct using stochastic model of storage},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {47--64},
     publisher = {mathdoc},
     volume = {28},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2016_28_1_a3/}
}
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V. V. Ryazanov. Simulation of micelles conduct using stochastic model of storage. Matematičeskoe modelirovanie, Tome 28 (2016) no. 1, pp. 47-64. http://geodesic.mathdoc.fr/item/MM_2016_28_1_a3/