Sintering aid (ZnO) effect on proton transport in BaCe0.35 Zr0.5 Y0.15 O3-δ and electrode phenomena studied by distribution function of relaxation times

2018 ◽  
Vol 102 (1) ◽  
pp. 239-250 ◽  
Author(s):  
Ashok Kumar Baral ◽  
Yoed Tsur
Keyword(s):  
Distribution Function ◽  
Proton Transport ◽  
Relaxation Times ◽  
Sintering Aid

Temperature Dependence of Dynamic Properties of Elastomers. Relaxation Distributions

1952 ◽  
Vol 25 (4) ◽  
pp. 720-729 ◽  
Author(s):  
John D. Ferry ◽  
Edwin R. Fitzgerald ◽  
Lester D. Grandine ◽  
Malcolm L. Williams
Keyword(s):  
Distribution Function ◽  
Temperature Dependence ◽  
Dynamic Properties ◽  
Relaxation Times ◽  
Dynamic Mechanical Properties ◽  
Relaxation Processes ◽  
The Real ◽  
Reduced Frequency ◽  
Dynamic Rigidity ◽  
Composite Curve

Abstract By the use of reduced variables, the temperature dependence and frequency dependence of dynamic mechanical properties of rubberlike materials can be interrelated without any arbitrary assumptions about the functional form of either The definitions of the reduced variables are based on some simple assumptions regarding the nature of relaxation processes. The real part of the reduced dynamic rigidity, plotted against the reduced frequency, gives a single composite curve for data over wide ranges of frequency and temperature; this is true also for the imaginary part of the rigidity or the dynamic viscosity. The real and imaginary parts of the rigidity, although independent measurements, are interrelated through the distribution function of relaxation times, and this relation provides a check on experimental results. First and second approximation methods of calculating the distribution function from dynamic data are given. The use of the distribution function to predict various types of time-dependent mechanical behavior is illustrated.

scholarly journals Optimized Process Parameters for a Reproducible Distribution of Relaxation Times Analysis of Electrochemical Systems

Batteries ◽  
2019 ◽  
Vol 5 (2) ◽  
pp. 43 ◽  
Author(s):  
Markus Hahn ◽  
Stefan Schindler ◽  
Lisa-Charlotte Triebs ◽  
Michael A. Danzer
Keyword(s):  
Distribution Function ◽  
Electrochemical Impedance ◽  
Regularization Parameter ◽  
Relaxation Times ◽  
Measurement Data ◽  
Complex Impedance ◽  
Lithium Ion ◽  
Parameter Study ◽  
Model Free ◽  
The Impact

The distribution of relaxation times (DRT) analysis offers a model-free approach for a detailed investigation of electrochemical impedance spectra. Typically, the calculation of the distribution function is an ill-posed problem requiring regularization methods which are strongly parameter-dependent. Before statements on measurement data can be made, a process parameter study is crucial for analyzing the impact of the individual parameters on the distribution function. The optimal regularization parameter is determined together with the number of discrete time constants. Furthermore, the regularization term is investigated with respect to its mathematical background. It is revealed that the algorithm and its handling of constraints and the optimization function significantly determine the result of the DRT calculation. With optimized parameters, detailed information on the investigated system can be obtained. As an example of a complex impedance spectrum, a commercial Nickel–Manganese–Cobalt–Oxide (NMC) lithium-ion pouch cell is investigated. The DRT allows the investigation of the SOC dependency of the charge transfer reactions, solid electrolyte interphase (SEI) and the solid state diffusion of both anode and cathode. For the quantification of the single polarization contributions, a peak analysis algorithm based on Gaussian distribution curves is presented and applied.

Magnetische Relaxation in Glycerin

1969 ◽  
Vol 24 (1) ◽  
pp. 143-153 ◽  
Author(s):  
F . Noack ◽  
G . Preissing
Keyword(s):  
Distribution Function ◽  
Magnetic Relaxation ◽  
Relaxation Times ◽  
Nuclear Magnetic Relaxation ◽  
Frequency Range ◽  
Glycerol Water ◽  
Correlation Times ◽  
Pure Glycerol ◽  
New Type ◽  
Nuclear Magnetic

AbstractProton nuclear magnetic relaxation times in pure glycerol and glycerol water mixtures have been measured in the frequency range from 450 kHz . . . 120 MHz from -20 °C .. . 70 °C. The results cannot be interpreted in terms of the well-known distributions of dielectric correlation times (Log-Gaussian, Cole-Davidson etc.), as has been proposed recently. Instead a new type of distribution function, called "diffusion-distribution", is introduced.

scholarly journals Effect of the Damping on the Magnetization of Antiferromagnetic Nanoparticles in a Presence of an Oblique Magnetic Field

2021 ◽  
pp. 1-7
Author(s):  
Bachir Ouari ◽  
◽  
Malika Madani ◽  
Mohamed Lagraa ◽  
◽  
...  
Keyword(s):  
Magnetic Field ◽  
Distribution Function ◽  
Relaxation Times ◽  
Planck Equation ◽  
Dynamic Susceptibility ◽  
Analytic Equation ◽  
Fokker Planck Equation ◽  
Oblique Field ◽  
Oblique Magnetic Field ◽  
Fokker Planck

The magnetization of antiferromagnetic nanoparticles is investigated with the Fokker-Planck equation describing the evolution of the distribution function of the magnetization of an nanoparticle. By solving this equation numerically, the relaxation times, and dynamic susceptibility are calculated for dc field orientations across wide ranges of frequencies, amplitude of the fields and damping. Analytic equation for the dynamic susceptibility is also proposed. It is shown that the damping alters the magnetization in the presence of oblique field applied

scholarly journals A New Concept for Solving the Boltzmann Transport Equation in Ultra-fast Transient Situations

VLSI Design ◽  
1998 ◽  
Vol 6 (1-4) ◽  
pp. 217-222
Author(s):  
Ming-C. Cheng
Keyword(s):  
Distribution Function ◽  
Equilibrium Distribution ◽  
Electron Distribution Function ◽  
Relaxation Times ◽  
Boltzmann Transport Equation ◽  
Equilibrium Distribution Function ◽  
Boltzmann Transport ◽  
Hydrodynamic Parameters ◽  
Lower Conduction Band ◽  
Rapid Changes

A concept based on relaxation of the hydrodynamic parameters is introduced to arrive at a computational model for the extreme non-equilibrium distribution function of carriers in multi-valley bandstructure. The relaxation times are taken to describe the evolution scale of the distribution function. The developed model is able to account for transport phenomena at the momentum relaxation scale. The model, together with the Monte Carlo simulation, is applied to obtain the electron distribution function in each valley of the lower conduction band in GaAs, and to study the evolution of the distribution function in GaAs subjected to rapid changes in field.

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