Solubility of nanoparticles: nonextensive thermodynamics approach

Abstract

We show in this study that the concepts of nonextensive thermodynamics, introduced in a previous work, can be used to express the variations of the solubility of nanoparticles and porous materials according to their mass by power laws, without the need to resort to fractal dimensions. This results in the demonstration of the Ostwald–Freundlich relation. Our approach is based on a thermodynamic description involving the introduction in the internal energy expression of an extensity, χ. χ is an Euler's function of the particle mass with a homogeneity degree, m, which can be other than one; m is the thermodynamic dimension of the system. We use this approach to simulate various behaviours, and show that an increase in solubility can be either higher or lower than that envisaged by the Ostwald–Freundlich relation.