Exact analytical solution of the Flory–Huggins model and extensions to multicomponent systems DOI
J. Pedro de Souza, Howard A. Stone

The Journal of Chemical Physics, Journal Year: 2024, Volume and Issue: 161(4)

Published: July 24, 2024

The Flory–Huggins theory describes the phase separation of solutions containing polymers. Although it finds widespread application from polymer physics to materials science biology, concentrations that coexist in separate phases at equilibrium have not been determined analytically, and numerical techniques are required restrict theory’s ease application. In this work, we derive an implicit analytical solution one a solvent by applying procedure call substitution method. While form composite variables, they can be mapped explicitly diagram composition space. We apply same formalism multicomponent polymeric systems, where find for polydisperse mixtures polymers type. Finally, while complete possible arbitrary mixtures, propose computationally efficient strategies map out coexistence curves systems with many components different types.

Language: Английский

Composite hydrogels assembled from food-grade biopolymers: Fabrication, properties, and applications DOI
David Julian McClements

Advances in Colloid and Interface Science, Journal Year: 2024, Volume and Issue: 332, P. 103278 - 103278

Published: Aug. 14, 2024

Language: Английский

Citations

13
Phase behavior in multicomponent mixtures DOI Creative Commons
Luka Sturtewagen, Belinda P.C. Dewi, Arjen Bot

et al.

Frontiers in Soft Matter, Journal Year: 2024, Volume and Issue: 3

Published: Jan. 23, 2024

In this article, we study the phase behavior of two polydisperse hydrocolloids: dextran and polyethylene oxide. We combine data on experimental osmometric virial coefficients pure components with critical point their aqueous mixture size distribution each component from a previously published in order to predict boundary, spinodal, fractionation upon demixing mixture. compare results our calculation diagram. Our method reveals better correspondence binary than modeling as monodisperse. The polydispersity hydrocolloids causes separation boundary shift lower concentrations miscibility region decrease change its shape rotated U-shape W-shape.

Language: Английский

Citations

1
Cellular Griffiths-like phase DOI Creative Commons
Lucas Squillante, Isys F. Mello, L. S. Ricco

et al.

Heliyon, Journal Year: 2024, Volume and Issue: 10(15), P. e34622 - e34622

Published: July 17, 2024

Language: Английский

Citations

1
Exact analytical solution of the Flory–Huggins model and extensions to multicomponent systems DOI
J. Pedro de Souza, Howard A. Stone

The Journal of Chemical Physics, Journal Year: 2024, Volume and Issue: 161(4)

Published: July 24, 2024

The Flory–Huggins theory describes the phase separation of solutions containing polymers. Although it finds widespread application from polymer physics to materials science biology, concentrations that coexist in separate phases at equilibrium have not been determined analytically, and numerical techniques are required restrict theory’s ease application. In this work, we derive an implicit analytical solution one a solvent by applying procedure call substitution method. While form composite variables, they can be mapped explicitly diagram composition space. We apply same formalism multicomponent polymeric systems, where find for polydisperse mixtures polymers type. Finally, while complete possible arbitrary mixtures, propose computationally efficient strategies map out coexistence curves systems with many components different types.

Language: Английский

Citations

0