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Time-Fractional Phase Field Model of Electrochemical Impedance
by
L’vov, Pavel E.
, Sibatov, Renat T.
, Kitsyuk, Evgeny P.
, Yavtushenko, Igor O.
in
Activity coefficients
/ Approximation
/ Boundary conditions
/ Carbon nanotubes
/ Chemical potential
/ Dimensional analysis
/ electrochemical power source
/ Electrolytes
/ fractional derivative
/ Growth models
/ impedance spectroscopy
/ Methods
/ Nanoparticles
/ Partial differential equations
/ Phase transitions
/ phase-field model
/ Polyanilines
/ Porous materials
/ Spectrum analysis
2021
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Time-Fractional Phase Field Model of Electrochemical Impedance
by
L’vov, Pavel E.
, Sibatov, Renat T.
, Kitsyuk, Evgeny P.
, Yavtushenko, Igor O.
in
Activity coefficients
/ Approximation
/ Boundary conditions
/ Carbon nanotubes
/ Chemical potential
/ Dimensional analysis
/ electrochemical power source
/ Electrolytes
/ fractional derivative
/ Growth models
/ impedance spectroscopy
/ Methods
/ Nanoparticles
/ Partial differential equations
/ Phase transitions
/ phase-field model
/ Polyanilines
/ Porous materials
/ Spectrum analysis
2021
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Time-Fractional Phase Field Model of Electrochemical Impedance
by
L’vov, Pavel E.
, Sibatov, Renat T.
, Kitsyuk, Evgeny P.
, Yavtushenko, Igor O.
in
Activity coefficients
/ Approximation
/ Boundary conditions
/ Carbon nanotubes
/ Chemical potential
/ Dimensional analysis
/ electrochemical power source
/ Electrolytes
/ fractional derivative
/ Growth models
/ impedance spectroscopy
/ Methods
/ Nanoparticles
/ Partial differential equations
/ Phase transitions
/ phase-field model
/ Polyanilines
/ Porous materials
/ Spectrum analysis
2021
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Time-Fractional Phase Field Model of Electrochemical Impedance
Journal Article
Time-Fractional Phase Field Model of Electrochemical Impedance
2021
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Overview
In this paper, electrochemical impedance responses of subdiffusive phase transition materials are calculated and analyzed for one-dimensional cell with reflecting and absorbing boundary conditions. The description is based on the generalization of the diffusive Warburg impedance within the fractional phase field approach utilizing the time-fractional Cahn–Hilliard equation. The driving force in the model is the chemical potential of ions, that is described in terms of the phase field allowing us to avoid additional calculation of the activity coefficient. The derived impedance spectra are applied to describe the response of supercapacitors with polyaniline/carbon nanotube electrodes.
Publisher
MDPI AG
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