Non-linear perturbation functions in the study of electrode kinetics

1979 ◽  
Vol 101 (3) ◽  
pp. 291-300 ◽  
Author(s):  
P. Deenen ◽  
M. Lindström ◽  
G. Sundholm
Keyword(s):  
Linear Perturbation ◽  
Electrode Kinetics ◽  
Perturbation Functions ◽  
Non Linear

Chronopotentiometry with non-linear perturbation functions at the DME with a preceding blank period

1988 ◽  
Vol 251 (2) ◽  
pp. 249-266 ◽  
Author(s):  
Angela Molina ◽  
Francisco Martinez-Ortiz ◽  
José Albaladejo
Keyword(s):  
Linear Perturbation ◽  
Perturbation Functions ◽  
Non Linear

Potential-time response for several types of programmed current at most usual electrodes. Theoretical study of CE and EC mechanisms

1991 ◽  
Vol 56 (1) ◽  
pp. 1-19 ◽  
Author(s):  
Ángela Molina ◽  
Manuela López-Tenés
Keyword(s):  
Kinetic Parameters ◽  
Theoretical Study ◽  
Time Response ◽  
Linear Perturbation ◽  
Plane Electrode ◽  
Perturbation Functions ◽  
Non Linear ◽  
Transition Times

The theoretical study of the potential-time response corresponding to the CE and EC mechanisms at the DME by using non linear perturbation functions with the general form I(t) = I0tuewt and I(t) = I0(t1 + t)v is presented. Equations for the potential-time curves and for the transition times have been derived by taking into account the sphericity of the electrode. Methods for determining heterogeneous and homogeneous kinetic parameters are proposed. The expressions corresponding to an null blank period, to an expanding plane electrode and to spherical and plane stationary electrodes, can be deduced as particular cases of the equations obtained in this work.

Chronopotentiometry with non-linear perturbation functions at the DME with a preceding blank period

1987 ◽  
Vol 227 (1-2) ◽  
pp. 1-10 ◽  
Author(s):  
A. Molina ◽  
F. Martinez-Ortiz ◽  
J. Zapata ◽  
J. Albaladejo
Keyword(s):  
Linear Perturbation ◽  
Perturbation Functions ◽  
Non Linear

scholarly journals On the road to percent accuracy: non-linear reaction of the matter power spectrum to dark energy and modified gravity

2019 ◽  
Vol 488 (2) ◽  
pp. 2121-2142 ◽  
Author(s):  
M Cataneo ◽  
L Lombriser ◽  
C Heymans ◽  
A J Mead ◽  
A Barreira ◽  
...  
Keyword(s):  
Dark Energy ◽  
Power Spectrum ◽  
Modified Gravity ◽  
Cold Dark Matter ◽  
High Signal ◽  
Linear Perturbation ◽  
Matter Power Spectrum ◽  
Wide Range ◽  
Non Linear ◽  
Better Than

ABSTRACT We present a general method to compute the non-linear matter power spectrum for dark energy (DE) and modified gravity scenarios with per cent-level accuracy. By adopting the halo model and non-linear perturbation theory, we predict the reaction of a lambda cold dark matter (ΛCDM) matter power spectrum to the physics of an extended cosmological parameter space. By comparing our predictions to N-body simulations we demonstrate that with no-free parameters we can recover the non-linear matter power spectrum for a wide range of different w0–wa DE models to better than 1 per cent accuracy out to k ≈ 1 $h \,{\rm Mpc}^{-1}$. We obtain a similar performance for both DGP and f(R) gravity, with the non-linear matter power spectrum predicted to better than 3 per cent accuracy over the same range of scales. When including direct measurements of the halo mass function from the simulations, this accuracy improves to 1 per cent. With a single suite of standard ΛCDM N-body simulations, our methodology provides a direct route to constrain a wide range of non-standard extensions to the concordance cosmology in the high signal-to-noise non-linear regime.

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