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A fluctuation theory of liquid-phase solutions: Shear viscosity

Journal of Chemical Physics. 2025. Vol. 163. No. 2. Article 024502.
Yury A. Budkov, Nikolai N. Kalikin, Petr E. Brandyshev

Accurately describing liquids and their mixtures beyond equilibrium remains a significant challenge in modern chemical physics and physical chemistry, especially regarding the calculation of transport properties in liquid-phase systems. This paper introduces a phenomenological nonequilibrium theory specifically designed for multicomponent liquid-phase solutions. Our field-theoretical framework, rooted in nonequilibrium statistical mechanics, incorporates quasi-stationary concentration fluctuations that align with equilibrium liquid theory as described by classical density functional theory. This method serves as a phenomenological extension of the established Dean–Kawasaki stochastic density functional theory, enabling the computation of shear viscosity. We apply our approach to derive a general formula for the shear viscosity in single-solute solutions. Our findings yield new results and successfully reproduce previously established results for such systems as solutions containing soft-core particles, hard spheres, one-component plasma, and near-critical solutions.

Research target: Physics Chemistry
Language: English
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Keywords: вязкостьthermodynamic fluctuationsтермодинамические флуктуацииClassical density functional theoryshear viscosityТеория классического функционала плотностиliquid-phase solutionsрастворы
Publication based on the results of:
Supercomputer modelling and AI methods in topical problems of physics and complex systems (2025)
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