Abstract

We analyze the number density profiles of solvent and cosolvent entropically formed near a very large solute using an integral equation theory combined with a reliable bridge function. The entropic enrichment of cosolvent near the solute exhibits rather complex behavior, depending on the solvent and cosolvent sizes and the cosolvent concentration in the bulk. For a system where the cosolvent particles are sufficiently larger than the solvent particles, when the cosolvent concentration in the bulk XC is changed as a parameter, the number of cosolvent particles in contact with the solute NContact becomes largest at a surprisingly low value of XC: XC~0.01 for dC/dS=4, ηT=0.3831, and dU/dS=20 (dU, dS, and dC are the particle diameters of the solute, solvent, and cosolvent, respectively, and ηT is the total packing fraction of the solvent-cosolvent mixture). The largest value of NContact is approximately twice larger than NContact in pure cosolvent. The bulk solvent-cosolvent mixture is thermodynamically stable as a single phase, and the intriguing behavior mentioned above is induced by the introduction of solute surface into the solvent-cosolvent mixture.

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