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Алгоритм решения задачи о структуре двойного электрического слоя в поперечном магнитном поле
С. 33–35.
Shumilin N. V.
In book
М.: МИЭМ НИУ ВШЭ, 2013.
Doronin S., Yury A. Budkov, Current Opinion in Electrochemistry 2026 Vol. 57 Article 101853
The electric double layer (EDL) governs charge distribution at electrode–electrolyte interfaces, controlling reaction kinetics and energy storage performance. This mini review surveys the evolution of EDL theory—from the classical Gouy-Chapman-Stern framework to modern coupled quantum-continuum schemes that integrate electronic structure with statistical mechanics. We show how modified Poisson–Boltzmann (mPB) formu-lations incorporating finite ion size, dielectric ...
Added: April 19, 2026
Daria A. Mazur, Petr E. Brandyshev, Doronin S. et al., Electrochimica Acta 2026 Vol. 545 Article 147660
Recent advances in theoretical modelling of the electric double layer (EDL) have significantly improved the
accuracy of key parameters such as differential capacitance and ion profiles, paving the way for molecularlevel
descriptions of electrochemical interfaces. Despite these developments, existing models often lack a
unified physical framework, limiting their ability to capture complex interfacial phenomena such as ion
adsorption and ...
Added: November 11, 2025
Victoria A. Vasileva, Daria A. Mazur, Petr E. Brandyshev et al., Journal of Chemical Physics 2025 Vol. 163 No. 3 Article 034709
This study employs modified Poisson–Boltzmann theory to systematically investigate the influence of zwitterionic osmolyte additives to an electrolyte solution on disjoining pressure and electric differential capacitance within charged, slit-like nanopores with conductive walls. We demonstrate that increasing concentrations of zwitterionic osmolytes synergistically enhance both disjoining pressure and differential capacitance, highlighting their dual role in the ...
Added: July 16, 2025
Mazur D., Petr E. Brandyshev, Doronin S. V. et al., ChemPhysChem 2024 Vol. 25 No. 23 Article e20240065050
We present a comprehensive mean-field model that takes into account the key components of modern electrical double layer theory at the interface between an electrode and an electrolyte solution. The model considers short-range specific interactions between different species, including electrode-ion repulsion, the hydration of ions, dielectric saturation of solvent (water), and excluded volume (steric) interactions ...
Added: August 26, 2024
Budkov Y., Kalikin N., Polymer Science - Series C 2023 Vol. 65 No. 1 P. 46–52
We utilize the self-consistent field theory to explore the mechanical and electrical properties of charged surfaces immersed in polyelectrolyte solutions that could be potentially useful for electrochemical applications. Our research focuses on how the dielectric heterogeneity of the solution could affect the disjoining pressure and differential capacitance of the electric double layer. Relying on the ...
Added: August 31, 2023
Victoria A. Vasileva, Daria A. Mazur, Yury A. Budkov, Journal of Chemical Physics 2023 Vol. 159 No. 2 Article 024709
In this paper, we present a continuation of our research on modeling electrolyte solutions within charged pores. We make use of the model developed by Blossey et al. [Phys. Rev. E 95, 060602 (2017)], which takes into account the structural interactions between ions through a bilinear form over the gradients of local ionic concentrations in ...
Added: July 14, 2023
Artekha N., Shklyar D., Физика плазмы 2022 Т. 48 С. 613–627
Резонансное взаимодействие волн и частиц -- одно из важнейших явлений, определяющих спектры волн и динамику энергичных частиц космической плазмы. Это взаимодействие наиболее полно исследовано для случая, когда плазму можно с хорошей точностью разделить на две компоненты: холодную компоненту, определяющую дисперсионные свойства волн и не участвующую в резонансном взаимодействии, и энергичную компоненту, плотность которой мала по сравнению с плотностью холодной ...
Added: May 17, 2023
Budkov Y., Kalikin N., Kolesnikov A. L., Physical Chemistry Chemical Physics 2022 Vol. 24 P. 2665–2665
Correction for ‘Electrochemistry meets polymer physics: polymerized ionic liquids on an electrified electrode’ by Yury A. Budkov et al., Phys. Chem. Chem. Phys., 2022, DOI: 10.1039/d1cp04221a. ...
Added: April 6, 2023
Platonova K., Borovskih A. V., Theoretical and Mathematical Physics 2021 Vol. 208 No. 3 P. 1165–1181
We complete the investigation of the feasibility in principle to close the moment system for the kinetic equation via invariant relations obtained by group analysis methods. For the one-dimensional equation, we obtain an affirmative answer, find an invariant closure of the moment system, and reveal several new phenomena. ...
Added: December 12, 2022
Kolesnikov A. L., Daria A. Mazur, Yury A. Budkov, EPL 2022 Vol. 140 No. 1 Article 16001
Porous carbon is well known as a good candidate for the development of electrochemical double-layer capacitors. Predominantly, many conventional carbons are microporous and often well described by the assumption of slit pore geometry. However, there is a class of carbons that is significantly different from the others, namely templated mesoporous carbons. In this work, we ...
Added: September 29, 2022
Budkov Y., Kolesnikov A. L., Current Opinion in Electrochemistry 2022 Vol. 33 Article 100931
In this review, we shortly summarize the basic theoretical milestones achieved in the mean-field theory of room temperature ionic liquids (RTILs) on charged electrodes since the publication of Kornyshev’s seminal paper in 2007. We pay special attention to the behavior of the differential capacitance profile and the microscopic parameters of ions that can have substantial ...
Added: January 5, 2022
Budkov Y., Kalikin N., Kolesnikov A. L., Physical Chemistry Chemical Physics 2022 Vol. 24 P. 1355–1366
Polymeric ionic liquids are emerging polyelectrolyte materials for modern electrochemical applications. In this paper, we propose a self-consistent field theory of a polymeric ionic liquid on a charged conductive electrode. Taking into account the conformational entropy of rather long polymerized cations within the Lifshitz theory and electrostatic and excluded volume interactions of ionic species within ...
Added: December 26, 2021
Budkov Y., Zavarzin S., Kolesnikov A. L., Journal of Physical Chemistry C 2021 Vol. 125 No. 38 P. 21151–21159
We formulate a general mean-field theory for a flat electric double layer in ionic liquids and electrolyte solutions with ions possessing static polarizability and a permanent dipole moment on a charged electrode. We establish a new analytical expression for electric double-layer differential capacitance, determining it as an absolute value of the ratio of the local ...
Added: September 16, 2021
Budkov Y., Sergeev A., Zavarzin S. et al., Journal of Physical Chemistry C 2020 Vol. 124 No. 30 P. 16308–16314
The development of advanced electrochemical devices for energy conversion and storage requires fine tuning of electrode reactions, which can be accomplished by altering the electrode/solution interface structure. Particularly, in case of an alkali-salt electrolyte the electric double layer (EDL) composition can be managed by introducing organic cations (e.g. room temperature ionic liquid cations) that may ...
Added: July 2, 2020
Kolokoltsov V., Switzerland: Birkhauser/Springer, 2019.
This is an advanced text on ordinary differential equations (ODES) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces. It yields the concise exposition of the fundamentals with the fast, but rigorous and systematic transition to the up-fronts of modern research in linear and nonlinear partial ...
Added: November 14, 2019
Budkov Y., Kolesnikov A. L., Goodwin Z. H. et al., Electrochimica Acta 2018 Vol. 284 P. 346–354
We propose and develop a classical density functional theory for the description of a minor amount of water dissolved in ionic liquid in the vicinity of an electrode. In addition to the electrostatic energy and lattice-gas mixing entropy terms, the utilised grand canonical potential contains several phenomenological terms/parameters that describe short-range interactions between ions of ...
Added: August 3, 2018
Churkin D. V., I.V. Kolokolov, Podivilov E. V. et al., Nature Communications 2015 Vol. 2 P. 6214
Traditional wave kinetics describes the slow evolution of systems with many degrees of freedom to equilibrium via numerous weak non-linear interactions and fails for very important class of dissipative (active) optical systems with cyclic gain and losses, such as lasers with non-linear intracavity dynamics. Here we introduce a conceptually new class of cyclic wave systems, ...
Added: October 15, 2016
I.V.Kolokolov, V.V.Lebedev, Podivilov E. V. et al., Journal of Experimental and Theoretical Physics 2014 Vol. 146 No. 6(12) P. 1295–1300
We develop the theory explaining the role of nonlinearity in generation radiation in a fiber laser that is pumped by external light. The pumping energy is converted into the generating signal due to the Raman scattering supplying an effective gain for the signal. The signal is generated with frequencies near the one corresponding to the ...
Added: October 15, 2016
Apenko S.M., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2013 Vol. 87 P. 024101–024101-4
We present a proof of the monotonic entropy growth for a nonlinear discrete-time model of a random market.
This model, based on binary collisions, also may be viewed as a particular case of Ulam’s redistribution of energy
problem. We represent each step of this dynamics as a combination of two processes. The first one is a linear
energy-conserving ...
Added: October 23, 2014