A model of a simple mixture in an approximation for highly diluted binary phases is used to develop the primitive model for the dyeing of hydrophobic textile substrates with nonionic dyes. The formalism thus derived provides a simple means for describing the equilibrium properties of such systems. The kinetic behavior of the same systems can be formulated with the phenomenological equations of the thermodynamics of irreversible processes, but it can be shown by the theory of stochastic processes that the model used is of the simplest kind
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