Simulation of micelles conduct using stochastic model of storage

V. V. Ryazanov

Matematičeskoe modelirovanie, Tome 28 (2016) no. 1, pp. 47-64.

Résumé

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.

Détail

Mots-clés : micelles, distribution.
Keywords: stochastic storage model

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