Access the full text.
Sign up today, get DeepDyve free for 14 days.
P. Talkner, E. Hershkovitz, E. Pollak, P. Hänggi (1999)
Controlling activated surface diffusion by external fieldsSurface Science, 437
B. Huberman, J. Boyce (1978)
Breakdown of absolute rate theory and prefactor anomalies in superionic conductorsSolid State Communications, 25
V. Morozov, N. Mchedlishvili (1986)
On a fast algorithm for the approximate solution of the discrete Wiener-Hopf equation and an estimation of the accuracyUssr Computational Mathematics and Mathematical Physics, 25
M. Bellac (2007)
Nonequilibrium statistical mechanicsPhysics Subject Headings (PhySH)
A. Samgin (2005)
A statistical theory of the isotope effect in proton conducting oxidesSolid State Ionics, 176
V. Mel’nikov, S. Meshkov (1986)
Theory of activated rate processes: Exact solution of the Kramers problemJournal of Chemical Physics, 85
M. Mazroui, Y. Boughaleb (2001)
SURFACE DIFFUSION IN SYSTEMS OF INTERACTING BROWNIAN PARTICLESInternational Journal of Modern Physics B, 15
Melnikov (1993)
Activated decay rate: Finite-barrier corrections.Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48 5
T. Schober, J. Friedrich, J. Condon (1995)
Effective hydrogen diffusivity in SrCe0.95Yb0.05O3 − α and SrZr0.95Yb0.05O3 − αSolid State Ionics, 77
James Anderson (1973)
Statistical theories of chemical reactions. Distributions in the transition regionJournal of Chemical Physics, 58
M. Islam (2000)
Ionic transport in ABO3 perovskite oxides: a computer modelling tourJournal of Materials Chemistry, 10
D. Antoniou, S. Schwartz (1999)
Quantum proton transfer with spatially dependent friction: Phenol-amine in methyl chlorideJournal of Chemical Physics, 110
K. Wakamura (2005)
Empirical relationships for ion conduction based on vibration amplitude in perovskite-type proton and superionic conductorsJournal of Physics and Chemistry of Solids, 66
A. Samgin (2007)
On an application of the causality principle to the theory of ion transport processesJournal of Physics and Chemistry of Solids, 68
J. Bader, B. Berne, E. Pollak (1995)
Activated rate processes: The reactive flux method for one-dimensional surface diffusionJournal of Chemical Physics, 102
A. Samgin (2000)
Lattice-assisted proton motion in perovskite oxidesSolid State Ionics, 136
B. Noble, G. Weiss (1958)
Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations
M. Lax (1960)
Cascade Capture of Electrons in SolidsPhysical Review, 119
A. Nowick, A. Vaysleyb (1997)
Isotope effect and proton hopping in high-temperature protonic conductorsSolid State Ionics, 97
E. Pollak, H. Grabert, P. Hänggi (1989)
Theory of activated rate processes for arbitrary frequency dependent friction: Solution of the turnover problemJournal of Chemical Physics, 91
P. Baranek, M. Marrony (2008)
Raman and infrared vibrational properties of the protonic defect in the BaMO3(M = Zr,Ce) perovskites: a quantum mechanical study of protonic diffusion mechanisms, 963
G. Iche, P. Nozières (1976)
A simple stochastic description of desorption ratesJournal De Physique, 37
Eli Pollak, Peter Talkner (1995)
Transition-state recrossing dynamics in activated rate processes.Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 51 3
R. Grote, J. Hynes (1980)
The stable states picture of chemical reactions. II. Rate constants for condensed and gas phase reaction modelsJournal of Chemical Physics, 73
R. Jaquet, W. Miller (1985)
Quantum mechanical rate constants via path integrals: diffusion of hydrogen atoms on a tungsten(100) surfaceThe Journal of Physical Chemistry, 89
Gurevich YuYa, I Kharkats Yu (1992)
Superionic conductors
P. Sundell, M. Björketun, G. Wahnström (2007)
Density-functional calculations of prefactors and activation energies for H diffusion in BaZrO3Physical Review B, 76
А. Samgin, A. Ezin (2008)
Simulation of prefactor anomalies in superionic conductors in the case of arbitrary energy lossesIonics, 14
J. Bader, B. Berne (1995)
The energy‐dependent transmission coefficient and the energy distribution of classical particles escaping from a metastable wellJournal of Chemical Physics, 102
S. Miret-Artés, E. Pollak (2005)
The dynamics of activated surface diffusionJournal of Physics: Condensed Matter, 17
M. Islam, R. Davies, Julian Gale (2001)
Hop, skip or jump? Proton transport in the CaZrO3 perovskite oxideChemical Communications
In the framework of Kramers’ rate theory, numerical determination of the distribution of energies is considered for protons transferred in perovskite-like oxides. By referring to the calculational procedures developed in the preceding paper (Samgin and Ezin, Ionics 14: 345–348, 2008), we find that, in many cases, depending upon the value of the energy loss parameter, the distribution in the barrier region is essentially other than the traditional Boltzmann’s distribution. The numerically simulated distributions are briefly analyzed to highlight the collectiveness of the proton transfer mechanism.
Ionics – Springer Journals
Published: Feb 12, 2009
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.