A Fluctuation Theory of Liquid-Phase Solutions: Shear Viscosity
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913899687706624 |
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| author | Budkov, Yury A. Kalikin, Nikolai N. Brandyshev, Petr E. |
| author_facet | Budkov, Yury A. Kalikin, Nikolai N. Brandyshev, Petr E. |
| contents | 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 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_10303 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Fluctuation Theory of Liquid-Phase Solutions: Shear Viscosity Budkov, Yury A. Kalikin, Nikolai N. Brandyshev, Petr E. Soft Condensed Matter 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 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. |
| title | A Fluctuation Theory of Liquid-Phase Solutions: Shear Viscosity |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2503.10303 |