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Zavarzin SV, Kolesnikov AL, Budkov YA, Barash LY. Influence of fluid flows on electric double layers in evaporating colloidal sessile droplets. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2022; 45:24. [PMID: 35288808 DOI: 10.1140/epje/s10189-022-00178-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/04/2022] [Accepted: 02/25/2022] [Indexed: 06/14/2023]
Abstract
A model is developed for describing the transport of charged colloidal particles in an evaporating sessile droplet on the electrified metal substrate in the presence of a solvent flow. The model takes into account the electric charge of colloidal particles and small ions produced by electrolytic dissociation of the active groups on the colloidal particles and solvent molecules. We employ a system of self-consistent Poisson and Nernst-Planck equations for electric potential and average concentrations of colloidal particles and ions with the appropriate boundary conditions. The fluid dynamics, temperature distribution and evaporation process are described with the Navier-Stokes equations, equations of heat conduction and vapor diffusion in air, respectively. The developed model is used to carry out a first-principles numerical simulation of charged silica colloidal particle transport in an evaporating aqueous droplet. We find that electric double layers can be destroyed by a sufficiently strong fluid flow.
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Affiliation(s)
- Semen V Zavarzin
- School of Applied Mathematics, HSE University, Moscow, Russia, 101000
| | - Andrei L Kolesnikov
- Institut für Nichtklassische Chemie e.V., Permoserstr. 15, Leipzig, 04318, Germany
| | - Yury A Budkov
- School of Applied Mathematics, HSE University, Moscow, Russia, 101000
- Landau Institute for Theoretical Physics, Chernogolovka, Russia, 142432
| | - Lev Yu Barash
- Landau Institute for Theoretical Physics, Chernogolovka, Russia, 142432.
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Carrique F, Ruiz-Reina E, Arroyo FJ, Delgado AV. Influence of ion size effects on the electrokinetics of aqueous salt-free colloids in alternating electric fields. Phys Rev E 2020; 102:032614. [PMID: 33076032 DOI: 10.1103/physreve.102.032614] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/08/2020] [Accepted: 08/31/2020] [Indexed: 11/07/2022]
Abstract
Electrokinetics is the science of the physical phenomena appearing at the solid-liquid interface of dispersed particles subjected to external fields. Techniques based on electrokinetic phenomena constitute an important set of tools for the electrical characterization of colloids because of their sensitivity to the properties of particle-solution interfaces. Their rigorous description may require inclusion of the effects of finite size of chemical species in the theoretical models, and, particularly in the case of salt-free (no external salt added) aqueous colloids, also consideration of water dissociation and possible carbon dioxide contamination in the aqueous solution. A new ac electrokinetic model is presented for concentrated salt-free spherical colloids for arbitrary characteristics of the particles and aqueous solution, including finite-size effects of chemical species by appropriate modifications of the chemical reaction equations to include such non-ideal aspects. The numerical solution of the electrokinetic equations in an alternating electric field has also been carried out by using a realistic non-equilibrium scenario accounting for association-dissociation processes in the chemical reactions. The results demonstrate the importance of including finite-size effects in the electrokinetic response of the colloid, mainly at high frequencies of the electric field, and for highly charged colloids. Findings of previous models for pointlike ions or for ideal salt-free colloids including finite ion size effects are recovered with the present model, for the appropriate limiting conditions.
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Affiliation(s)
- F Carrique
- Departamento de Física Aplicada II, Facultad de Ciencias Universidad de Málaga, 29071 Málaga, Spain
| | - E Ruiz-Reina
- Departamento de Física Aplicada II, Facultad de Ciencias Universidad de Málaga, 29071 Málaga, Spain
| | - F J Arroyo
- Departamento de Física, Facultad de Ciencias Experimentales Universidad de Jaén, 23071 Jaén, Spain
| | - A V Delgado
- Departamento de Física Aplicada, Facultad de Ciencias Universidad de Granada, 18071 Granada, Spain
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Affiliation(s)
- Kevin Shen
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, United States
| | - Zhen-Gang Wang
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, United States
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Chremos A, Douglas JF. Communication: Counter-ion solvation and anomalous low-angle scattering in salt-free polyelectrolyte solutions. J Chem Phys 2017; 147:241103. [PMID: 29289148 PMCID: PMC5839105 DOI: 10.1063/1.5010784] [Citation(s) in RCA: 26] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We investigate the influence of counter-ion solvation on the homogeneity of salt-free polyelectrolyte solutions based on a coarse-grained model that includes an explicit solvent. We show that the solvation of the counter-ions can cause a transformation between a nearly homogeneous to a non-uniform polymer solution, in which there is both a chain clustering and the formation of large charge-free domains, i.e., "voids." The emergence of these heterogeneous structures induced by counter-ion solvation is accompanied by the localization and formation of counter-ion rich domains that are symptomatic of emergent effective long-range attractive interchain interactions.
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Affiliation(s)
- Alexandros Chremos
- Materials Science and Engineering Division, National Institute of Standards and Technology, Gaithersburg, MD, 20899, USA
| | - Jack F. Douglas
- Materials Science and Engineering Division, National Institute of Standards and Technology, Gaithersburg, MD, 20899, USA
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Budkov YA, Kalikin NN, Kolesnikov AL. Polymer chain collapse induced by many-body dipole correlations. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2017; 40:47. [PMID: 28417323 DOI: 10.1140/epje/i2017-11533-5] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/06/2017] [Accepted: 03/17/2017] [Indexed: 06/07/2023]
Abstract
We present a simple analytical theory of a flexible polymer chain dissolved in a good solvent, carrying permanent freely oriented dipoles on the monomers. We take into account the dipole correlations within the random phase approximation (RPA), as well as a dielectric heterogeneity in the internal polymer volume relative to the bulk solution. We demonstrate that the dipole correlations of monomers can be taken into account as pairwise ones only when the polymer chain is in a coil conformation. In this case the dipole correlations manifest themselves through the Keesom interactions of the permanent dipoles. On the other hand, the dielectric heterogeneity effect (dielectric mismatch effect) leads to the effective interaction between the monomers of the polymeric coil. Both of these effects can be taken into account by renormalizing the second virial coefficient of the monomer-monomer volume interactions. We establish that in the case when the solvent dielectric permittivity exceeds the dielectric permittivity of the polymeric material, the dielectric mismatch effect competes with the dipole attractive interactions, leading to polymer coil expansion. In the opposite case, both the dielectric mismatch effect and the dipole attractive interaction lead to the polymer coil collapse. We analyse the coil-globule transition caused by the dipole correlations of monomers within the many-body theory. We demonstrate that accounting for the dipole correlations higher than the pairwise ones smooths this pure electrostatics driven coil-globule transition of the polymer chain.
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Affiliation(s)
- Yu A Budkov
- National Research University Higher School of Economics, Department of Applied Mathematics, Moscow, Russia.
| | - N N Kalikin
- Ivanovo State University, Department of Physics, Ivanovo, Russia
| | - A L Kolesnikov
- Institut für Nichtklassische Chemie e.V., Universität Leipzig, Leipzig, Germany
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Budkov YA, Kolesnikov AL, Georgi N, Nogovitsyn EA, Kiselev MG. A new equation of state of a flexible-chain polyelectrolyte solution: Phase equilibria and osmotic pressure in the salt-free case. J Chem Phys 2015; 142:174901. [DOI: 10.1063/1.4919251] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023] Open
Affiliation(s)
- Yu. A. Budkov
- G.A. Krestov Institute of Solution Chemistry of the Russian Academy of Sciences, Ivanovo, Russia
- National Research University Higher School of Economics, Department of Applied Mathematics, Moscow, Russia
| | - A. L. Kolesnikov
- Ivanovo State University, Ivanovo, Russia
- Institut für Nichtklassische Chemie e.V., Universitat Leipzig, Leipzig, Germany
| | - N. Georgi
- Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
| | | | - M. G. Kiselev
- G.A. Krestov Institute of Solution Chemistry of the Russian Academy of Sciences, Ivanovo, Russia
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Kolesnikov AL, Budkov YA, Nogovitsyn EA. Coarse-Grained Model of Glycosaminoglycans in Aqueous Salt Solutions. A Field-Theoretical Approach. J Phys Chem B 2014; 118:13037-49. [DOI: 10.1021/jp503749a] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Andrei L. Kolesnikov
- Institut
fur Nichtklassische Chemie e.V., Universität Leipzig, 04109 Leipzig, Germany
- Department
of Physics, Ivanovo State University, Ermaka 39, 153025 Ivanovo, Russia
| | - Yurij A. Budkov
- Institute
of Solution Chemistry, Russian Academy of Sciences 153045, Academicheskaya 1, Ivanovo, Russia
- National Research University Higher School of Economics, 101000 Moscow, Russia
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Budkov YA, Kolesnikov AL, Nogovitsyn EA, Kiselev MG. Electrostatic-interaction-induced phase separation in solutions of flexible-chain polyelectrolytes. POLYMER SCIENCE SERIES A 2014. [DOI: 10.1134/s0965545x14050022] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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