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Abstract
We have calculated the values of critical packing fractions for the mixtures of symmetric non-additive hard disks. An interesting feature of the model is the fact that the internal energy is zero and the phase transitions are entropically driven. A cluster algorithm for Monte Carlo simulations in a semigrand ensemble was used. The finite size scaling analysis was employed to compute the critical packing fractions for infinite systems with high accuracy for a range of non-additivity parameters wider than in the previous studies.
Highlights
Two-dimensional fluid mixtures are quite common in soft-matter and in biological systems
We present the results of our calculation of the critical packing fractions for a set of the nonadditivity parameter ∆, compared with the results already reported in the literature
The authors use cluster algorithms in the simulations and the critical packing fractions are calculated for infinite systems where different kinds of finite size scaling analysis were used
Summary
Two-dimensional fluid mixtures are quite common in soft-matter and in biological systems. An interesting question that is not fully solved yet is the phase separation in a binary mixture on surfaces with different curvatures This question is important for the adsorption on curved surfaces present in porous materials, and for the properties of biological membranes surrounding organelle. The phase separation in binary fluid mixtures belongs to the Ising universality class, and the universal properties of the two-dimensional Ising model are well known from exact results [12]. We study the mixture of symmetric non-additive hard disks with the interaction potential defined by: Uαγ(r ) =. We study the mixtures of positive non-additivity with different values of the parameter ∆ This potential is an idealization of interactions in a mixture of identical colloid particles with surfaces covered with polymeric brushes of two types, A and B.
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