We study theoretically the effect of size difference and that of gravity in the phase behavior of a binary mixture of patchy particles. The species, 2A and 3B, have two A and three B patches, respectively, and only bonds between patches A and B (AB bonds) are allowed. This model describes colloidal systems where the aggregation of particles (3B) is mediated and controlled by a second species, the linkers (2A) to which they bind strongly. Thermodynamic calculations are performed using Wertheim’s perturbation theory with a hard sphere reference term that accounts for the difference in the size of the two species. Percolation lines are determined employing a generalized Flory–Stockmayer theory, and the effects of gravity are included through a local density approximation. The bulk phase diagrams are calculated, and all the stacking sequences generated in the presence of gravity are determined and classified in a stacking diagram. The relative size of the particles can be used to control the phase behavior of the mixture. An increase in the size of particles 3B, relative to the size of the linkers 2A, is found to promote mixing while keeping the percolating structures and, in certain cases, leads to changes in the stacking sequence under gravity.
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28 July 2021
Research Article|
July 26 2021
Phase behavior of a binary mixture of patchy colloids: Effect of particle size and gravity
Rodrigo Braz Teixeira
;
Rodrigo Braz Teixeira
a)
1
Departamento de Física, Faculdade de Ciências, Universidade de Lisboa
, 1749-016 Lisboa, Portugal
2
Centro de Física Teórica e Computacional, Universidade de Lisboa
, 1749-016 Lisboa, Portugal
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Daniel de las Heras
;
Daniel de las Heras
b)
3
Theoretische Physik II, Physikalisches Institut, Universität Bayreuth
, D-95440 Bayreuth, Germany
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José Maria Tavares
;
José Maria Tavares
c)
2
Centro de Física Teórica e Computacional, Universidade de Lisboa
, 1749-016 Lisboa, Portugal
4
Instituto Superior de Engenharia de Lisboa, ISEL
, Avenida Conselheiro Emídio Navarro, 1, 1950-062 Lisboa, Portugal
c)Author to whom correspondence should be addressed: [email protected]
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Margarida M. Telo da Gama
Margarida M. Telo da Gama
d)
1
Departamento de Física, Faculdade de Ciências, Universidade de Lisboa
, 1749-016 Lisboa, Portugal
2
Centro de Física Teórica e Computacional, Universidade de Lisboa
, 1749-016 Lisboa, Portugal
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c)Author to whom correspondence should be addressed: [email protected]
J. Chem. Phys. 155, 044903 (2021)
Article history
Received:
May 12 2021
Accepted:
July 07 2021
Citation
Rodrigo Braz Teixeira, Daniel de las Heras, José Maria Tavares, Margarida M. Telo da Gama; Phase behavior of a binary mixture of patchy colloids: Effect of particle size and gravity. J. Chem. Phys. 28 July 2021; 155 (4): 044903. https://doi.org/10.1063/5.0056652
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