Fractional Diffusion in the Multiple-Trapping Regime and Revision of the Equivalence with the Continuous-Time Random Walk

Bisquert, Juan

doi:10.1103/physrevlett.91.010602

Cited by 116 publications

(102 citation statements)

References 22 publications

Supporting

Mentioning

100

Contrasting

Order By: Relevance

“…Here the AD1a model gave best fits to experimental spectra. This is expected since in this case the number of diffusing ions is not conserved [16] and the model should describe trapping processes [17]. In addition the measured EDOS departs from the theoretical calculation in this region.…”

Section: Discussionmentioning

confidence: 78%

Determination of electronic structure by impedance spectroscopy

Niklasson

Malmgren

Green

et al. 2010

Journal of Non-Crystalline Solids

View full text Add to dashboard Cite

We present a novel method, based on electrochemical intercalation and impedance spectroscopy, to determine the electronic density of states of disordered transition metal oxides. Specifically, we have determined the "electrochemical density of states" of tungsten and iridium oxide thin films over energy ranges as wide as 1 to 2 eV. Our experimental results show a number of qualitative features exhibited by state-of-the-art band structure computations. Differences in details are probably due to the disordered, porous and sometimes amorphous nature of our films. The results suggest that the impedance spectroscopy method can be used to obtain the density of states only if the conduction band states are localized. The electrochemical density of states is often smaller than the computed one due to kinetic effects, i.e. very slow relaxations of the charge carriers. Nevertheless, our sensitive method opens new vistas for studying the electronic structure of disordered materials.

show abstract

Section: Discussionmentioning

confidence: 78%

Determination of electronic structure by impedance spectroscopy

Niklasson

Malmgren

Green

et al. 2010

Journal of Non-Crystalline Solids

View full text Add to dashboard Cite

show abstract

“…It is important to point out, to avoid any possible confusion, that the GDE is widely used to describe transport processes (see Refs. [38,39], for some recent papers). However, these papers refer to subdiffusion, a physical condition where the correlation function of the fluctuation cannot be defined, not even in the nonstationary sense of Sec.…”

Section: Concluding Remarkmentioning

confidence: 99%

Non-Poisson dichotomous noise: Higher-order correlation functions and aging

et al. 2004

View full text Add to dashboard Cite

We study a two-state symmetric noise, with a given waiting time distribution ͑ ͒, and focus our attention on the connection between the four-time and two-time correlation functions. The transition of ͑ ͒ from the exponential to the nonexponential condition yields the breakdown of the usual factorization condition of high-order correlation functions, as well as the birth of aging effects. We discuss the subtle connections between these two properties and establish the condition that the Liouville-like approach has to satisfy in order to produce a correct description of the resulting diffusion process.

show abstract

“…Ion-trapping in a host material is a complex phenomenon and coupled to a variety of processes occurring in the solid state. [15][16][17] For lithium intercalation in metal oxides, a widely adopted picture considers two main limiting steps for the kinetics: 18 (i) the overcoming of a barrier at the ion injection interface (the electrolyte/TiO 2 interface), and…”

mentioning

confidence: 99%

Eliminating Electrochromic Degradation in Amorphous TiO₂ through Li-Ion Detrapping

Wen

Niklasson

Granqvist

2016

ACS Appl. Mater. Interfaces

View full text Add to dashboard Cite

ABSTRACT:The quest for superior and low-cost electrochromic (EC) thin films, for applications in smart windows, remains strong owing to their large importance for energyefficient buildings. While the development of new EC materials for improved devices is important, diminishing or reversing degradation is another key issue, and electrical rejuvenation of degraded EC materials can offer new opportunities. Here we demonstrate that cathodically coloring EC thin films of TiO 2 , which normally suffer from ion-trapping-induced degradation of charge capacity and optical modulation upon extensive electrochemical cycling, can recover their initial EC performance by a rejuvenation procedure involving Li + ion de-trapping. Thus the initial performance can be regained, and refreshed TiO 2 films exhibit the same degradation features as as-deposited films upon prolonged electrochemical cycling. The rejuvenation was carried out by using either galvanostatic or potentiostatic treatments. Our study may open avenues to explore the recovery not only of EC materials and devices based on those but also for other ion-exchange-based devices.

show abstract

Fractional Diffusion in the Multiple-Trapping Regime and Revision of the Equivalence with the Continuous-Time Random Walk

Cited by 116 publications

References 22 publications

Determination of electronic structure by impedance spectroscopy

Determination of electronic structure by impedance spectroscopy

Non-Poisson dichotomous noise: Higher-order correlation functions and aging

Eliminating Electrochromic Degradation in Amorphous TiO₂ through Li-Ion Detrapping

Contact Info

Product

Resources

About

Fractional Diffusion in the Multiple-Trapping Regime and Revision of the Equivalence with the Continuous-Time Random Walk

Cited by 116 publications

References 22 publications

Determination of electronic structure by impedance spectroscopy

Determination of electronic structure by impedance spectroscopy

Non-Poisson dichotomous noise: Higher-order correlation functions and aging

Eliminating Electrochromic Degradation in Amorphous TiO2 through Li-Ion Detrapping

Contact Info

Product

Resources

About

Eliminating Electrochromic Degradation in Amorphous TiO₂ through Li-Ion Detrapping