A model for anomalous penetration of “hot” deuterium in proton conductors

Samgin, A.L.

doi:10.1016/s0167-2738(02)00684-7

Cited by 1 publication

(7 citation statements)

References 9 publications

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“…Expression (5) differs from the traditional formula of theory of absolute reaction rates (6) where τ -1 is the reaction rate, by the presence of the factor ω * /γ. As follows from (6), the activation energy E (a) may be thought of as identical to the quantity V*.…”

Section: The Stochastic Approach the Gurevich-kharkats Modelmentioning

confidence: 99%

“…It cannot be ruled out that in some cases, due to the emergence of a complicated structure of the effective potential, the motion of a superionic "fluid" may acquire even more "complicated" hydrodynamic effects, for example, effects that are similar, in a sense, to a turbulent diffusion [6].…”

Section: The Stochastic Approach the Gurevich-kharkats Modelmentioning

confidence: 99%

“…Dependences (6) and (9) correspond to a different case, specifically, to small values of γ, although friction does not enter them in an explicit form. Consequently, formulas (5) and (6) are not interchangeable, rather they are simply related, through a different accuracy of description.…”

Section: The Stochastic Approach the Gurevich-kharkats Modelmentioning

confidence: 99%

“…As follows from general considerations [27,28], the A 1 factor depends solely on the energy losses (calculated per oscillation), which are sustained by a particle that possesses energy ε. In the case of A 1 = 1, expression (17) leads to (6). On the other hand, upon formally setting A 1 = ω * /γ in (17), one can obtain (5).…”

Section: The Ion Transfer In the Casementioning

confidence: 99%

“…Interest in stochastic models is on the increase in connection with the possibilities of their application to ionic nanostructures, films, and other solid electrolytes with complicated structures. In particular, a generalization of the stochastic approach in the framework of nonextensive statistical mechanics [4], which has been actively applied of late to exploring complicated systems, and the use of fractal notions make it possible to describe the anomalous transfer of deuterium ions implanted in thin protonic conductors [5,6].…”

Section: Introductionmentioning

confidence: 99%

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On a Stochastic Theory of Ion Transfer at Intermediate Damping

Samgin

2005

Russ J Electrochem

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The stochastic method, which was formulated earlier by Gurevich and Kharkats on the basis of a classic solution of the Fokker-Planck equation in a phase space of coordinates and momenta, is developed to extend it to the case of intermediate damping. In contradistinction to the Gurevich-Kharkats model, the new theory is based on the Fokker-Planck equation in the energy-action coordinates. Analytical expressions for the exchange current and conductance are derived. The expressions are valid in a broad damping regime. As compared with the Gurevich-Kharkats model, the expression for the exchange current contains an additional factor, which depends on the energy losses sustained by the ion upon its collision with the cage of a crystal lattice. An explanation for the isotope effect in the high-temperature protonic conductors is suggested. It is demonstrated that the friction coefficient for these solid electrolytes may correspond to the underdamped-to-intermediatedamping regime. This fact makes it possible to put forth an explanation for the existing contradictions between their properties and simple hopping models, which ignore the interaction of ions with the crystal lattice.

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Section: The Stochastic Approach the Gurevich-kharkats Modelmentioning

confidence: 99%

Section: The Stochastic Approach the Gurevich-kharkats Modelmentioning

confidence: 99%

Section: The Stochastic Approach the Gurevich-kharkats Modelmentioning

confidence: 99%