Mass-action model of micellization (source code)

= Mass-action model of micellization
{title2=$a_q=K_q a_1^q$}

For equilibrium association of $q$ isolated <amphiphiles> into one <micelle>, equality of <chemical potentials> gives the displayed relation between dimensionless <thermodynamic activities>. Large <aggregation number> makes aggregate abundance rise rapidly with monomer activity. A finite-aggregate model gives a concentration crossover, rather than an exactly discontinuous thermodynamic transition.