Hopping diffusion across interfaces

Blender, Richard; Dieterich, W.; Hl, Frisch

doi:10.1103/physrevb.33.3538

Cited by 14 publications

(2 citation statements)

References 2 publications

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“…From Eq. ͑32͒ we find that G(x,xЈ,s) is everywhere continuous, but that the derivative is discontinuous for x ϭxЈ, xϭx 1 …”

Section: F the Green's Functionmentioning

confidence: 80%

“…1 In order to gain insight into the current distribution in the vicinity of a fast-ion conductor/intercalate interface Nachev and Balkanski 2 resorted to numerical solution of the governing differential equations. Similarly, Jamnik and Maier 3,4 have devised a discrete model of transport across boundary layers in ionic conductors which, in general, needs to be solved numerically.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical investigation of ion conduction in three-layered ion-conductor systems: Derivation of the isothermal transient ionic current and frequency-dependent impedance

Frenning

Jonsson

Larsson

et al. 2003

Journal of Applied Physics

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Articles you may be interested inNonlinear space charge dynamics in mixed ionic-electronic conductors: Resistive switching and ferroelectric-like hysteresis of electromechanical response Ion conduction in three-layered ion-conductor systems is considered. Explicit analytic expressions for the isothermal transient ionic current and frequency-dependent impedance are derived. The analysis includes migration, diffusion and space-charge effects as contributors to the ionic motion. The resulting model allows conduction parameters such as diffusion coefficients and ion concentrations in three different layers to be obtained from one single measurement, either in the time or in the frequency domain. The implications of one or more of the layers being mixed ionic/electronic conductors are discussed, and it is argued that the proposed model provides a useful description of the coupled ionic/electronic motion occurring in such a mixed-conductor system.

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“…From Eq. ͑32͒ we find that G(x,xЈ,s) is everywhere continuous, but that the derivative is discontinuous for x ϭxЈ, xϭx 1 …”

Section: F the Green's Functionmentioning

confidence: 80%

Section: Introductionmentioning

confidence: 99%

Theoretical investigation of ion conduction in three-layered ion-conductor systems: Derivation of the isothermal transient ionic current and frequency-dependent impedance

Frenning

Jonsson

Larsson

et al. 2003

Journal of Applied Physics

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Transport across Boundary Layers in Ionic Crystals Part I: General Formalism and Conception

Jamnik

Maier

1997

Ber Bunsenges Phys Chem

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In a sequence of papers we will systematically address the problem of mass and charge transport through boundaries from the standpoint of irreversible thermodynamics and kinetics. Special emphasis is put on the transport through space charge regions. As a model material we consider a binary crystal (MX1+δ) exhibiting ionic and/or electronic conduction and thus allowing for changes in the nonstoichiometry as well. A typical situation is a mixed conductor sandwiched between two partially reversible electrodes. The boundaries are assumed to be morphologically stable. Driving forces considered are differences in chemical and/or electrical potential. They are assumed to be sufficiently small to allow for a linear response treatment. No reference to ad hoc assumptions such as the local electroneutrality condition is made. We also allow for compositional changes in the material. The continuum approach will be presented in the framework of linear irreversible thermodynamics. The introduction of virtual electric fields significantly facilitates the formalism with respect to electrochemical relationships, boundary conditions and analytical treatment. The instationary state will be formally tackled in Fourier space. A conceptual discretisation is generally of advantage – in particular in cases in which the continuum problem can only be solved numerically – since it takes account of the atomistic situation in a kinetic framework. This paper sets out the fundamental equations which will be applied to specific examples. One application already reveals quantitatively the important result that space charge regions necessarily appear in weakly disordered materials during a chemical diffusion even if one starts from a space – charge free initial situation. The steady state concentration profiles are derived.

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Ab initio self-consistent theory of ionic diffusion in superionic conductors with an internal interface

Nachev¹,

Bałkanski

1995

J Mater Sci

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Hopping diffusion across interfaces

Cited by 14 publications

References 2 publications

Theoretical investigation of ion conduction in three-layered ion-conductor systems: Derivation of the isothermal transient ionic current and frequency-dependent impedance

Theoretical investigation of ion conduction in three-layered ion-conductor systems: Derivation of the isothermal transient ionic current and frequency-dependent impedance

Transport across Boundary Layers in Ionic Crystals Part I: General Formalism and Conception

Ab initio self-consistent theory of ionic diffusion in superionic conductors with an internal interface

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