Numerically Exact Approach to Ultra-Small Particles in Near-Critical Mixtures |
| A. Drzewiński
Institute of Physics, University of Zielona Góra, Prof. Z. Szafrana 4a, 65-516 Zielona Góra, Poland |
| Received: November 8, 2018; in final form January 22, 2019 |
| Full Text PDF |
| The critical Casimir forces between solute particles in a solvent can arise from the medium fluctuations. The properties of ultra-small particles immersed in a binary liquid mixture close to its consolute point Tc are studied using the exact statistical-mechanical derivation based on the two-dimensional Ising model. Each solute particle is represented by a local magnetic field acting on an individual spin. The ensemble average for the distance between particles placed on the torus is determined as a temperature-dependent function. It has been shown how the presence of other particles modifies the separation distance for a pair of particles with the same or opposing preferential adsorption. |
DOI:10.12693/APhysPolA.135.520 PACS numbers: 75.10.Hk, 05.20.Jj, 05.40.-a |