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Article

Structural and Thermodynamic Peculiarities of Core-Shell Particles at Fluid Interfaces from Triangular Lattice Models

1
Department of Mechanics and Engineering, Belarusian State Technological University, 13a Sverdlova Str., 220006 Minsk, Belarus
2
Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warszawa, Poland
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(11), 1215; https://doi.org/10.3390/e22111215
Received: 12 September 2020 / Revised: 21 October 2020 / Accepted: 22 October 2020 / Published: 26 October 2020
(This article belongs to the Special Issue Statistical Mechanics and Thermodynamics of Liquids and Crystals)
A triangular lattice model for pattern formation by core-shell particles at fluid interfaces is introduced and studied for the particle to core diameter ratio equal to 3. Repulsion for overlapping shells and attraction at larger distances due to capillary forces are assumed. Ground states and thermodynamic properties are determined analytically and by Monte Carlo simulations for soft outer- and stiffer inner shells, with different decay rates of the interparticle repulsion. We find that thermodynamic properties are qualitatively the same for slow and for fast decay of the repulsive potential, but the ordered phases are stable for temperature ranges, depending strongly on the shape of the repulsive potential. More importantly, there are two types of patterns formed for fixed chemical potential—one for a slow and another one for a fast decay of the repulsion at small distances. In the first case, two different patterns—for example clusters or stripes—occur with the same probability for some range of the chemical potential. For a fixed concentration, an interface is formed between two ordered phases with the closest concentration, and the surface tension takes the same value for all stable interfaces. In the case of degeneracy, a stable interface cannot be formed for one out of four combinations of the coexisting phases, because of a larger surface tension. Our results show that by tuning the architecture of a thick polymeric shell, many different patterns can be obtained for a sufficiently low temperature. View Full-Text
Keywords: core-shell particles; liquid interfaces; triangular lattice; thermodynamics; ground states; structure; line tension; phase coexistence; competing interaction; fluctuations core-shell particles; liquid interfaces; triangular lattice; thermodynamics; ground states; structure; line tension; phase coexistence; competing interaction; fluctuations
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MDPI and ACS Style

Grishina, V.; Vikhrenko, V.; Ciach, A. Structural and Thermodynamic Peculiarities of Core-Shell Particles at Fluid Interfaces from Triangular Lattice Models. Entropy 2020, 22, 1215. https://doi.org/10.3390/e22111215

AMA Style

Grishina V, Vikhrenko V, Ciach A. Structural and Thermodynamic Peculiarities of Core-Shell Particles at Fluid Interfaces from Triangular Lattice Models. Entropy. 2020; 22(11):1215. https://doi.org/10.3390/e22111215

Chicago/Turabian Style

Grishina, Vera, Vyacheslav Vikhrenko, and Alina Ciach. 2020. "Structural and Thermodynamic Peculiarities of Core-Shell Particles at Fluid Interfaces from Triangular Lattice Models" Entropy 22, no. 11: 1215. https://doi.org/10.3390/e22111215

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