Voltammetry and electrodeposition in the presence of attractive interactions: I. a mean-field approach

Berthier, F.; Braems, Isabelle; Creuze, Jérôme; Tétot, R.; Legrand, Bernard

doi:10.1016/j.jelechem.2004.07.024

Cited by 9 publications

(17 citation statements)

References 24 publications

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“…The Monte Carlo simulations rely on the same kinetic model as the one considered in the mean-field approach of Part I [1]. Thus, only adsorption and desorption events are proposed during MC steps.…”

Section: Kinetic Ising Model and Monte Carlo Simulationsmentioning

confidence: 99%

“…In the first part of this study, we analyzed the influence of attractive interactions between electrodeposited atoms on the voltammograms under a linear potential sweep [1]. The mean-field approximation allowed us to express the main characteristics of the peak that appears in the plot of current density versus electrode potential, as a function of the parameters of the kinetic model.…”

Section: Introductionmentioning

confidence: 99%

“…For high temperatures, the dimensionless current density at the peak potential turns out to converge towards two different limits for low and high sweep rates, which distinguish the reversible and irreversible regimes. At low temperatures, the presence of a first-order phase transition in the equilibrium isotherm (Frumkin isotherm) leads to different voltammograms relative to the direction of the sweep, whichever the regime may be [1]. In the reversible regime, when the potential sweep rate converges towards 0, the peak potential tends towards the limit of the spinodal instability of the equilibrium isotherm, while the dimensionless current density at the peak now diverges as (1/m b ) [1].…”

Section: Introductionmentioning

confidence: 99%

“…We shall then extend this MC study to low temperature (T < T c ) voltammetry under a linear potential sweep in high and low sweep rate regimes (Section 4). We interpret the simulation results via the KJMA-ECNT approach and compare them to those derived from the mean-field approach [1].…”

Section: Introductionmentioning

confidence: 99%

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Voltammetry and electrodeposition in the presence of attractive interactions: II. from Monte Carlo simulations to the KJMA–ECNT approach

Berthier¹,

Legrand

Braems³

et al. 2004

Journal of Electroanalytical Chemistry

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Section: Kinetic Ising Model and Monte Carlo Simulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Voltammetry and electrodeposition in the presence of attractive interactions: II. from Monte Carlo simulations to the KJMA–ECNT approach

Berthier¹,

Legrand

Braems³

et al. 2004

Journal of Electroanalytical Chemistry

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“…Monte Carlo simulation has recently been applied to voltammetric study on diffusion, 8,9 adsorption associated with inter-molecular interactions, [10][11][12] propagation in polymer, [13][14][15][16] and metal deposition. [17][18][19][20] It plays a vital role in estimating random behaviour of diffusion, accidental adsorption, and catastrophic crystal growth.…”

Section: Introductionmentioning

confidence: 99%

Simulation for memory effect of Fick’s first law

Aoki

2009

J Chem Sci

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The memory effect of the Fick's first law, expressed by τ (∂J/∂t) = -J -Dgradc, was confirmed by means of the 3D Monte Carlo simulation, where τ is the relaxation time, J is the flux of the diffusing particles, D is the diffusion coefficient, and c is the concentration of the particles. The delay has been observed by chronoamperometry at a pair electrode. It behaves as if it were due to a slow electron transfer reaction. A diffusion model was composed of two cubic cells with different volumes in contact with each other by their faces, which worked as the boundary for the flux. Each cell contained one diffusing particle and solvent molecules for a given concentration. The particle moved randomly in the 3D lattice until it traversed the boundary. The number of the random steps before the traverse was equivalent to the relaxation time. It was proportional to ca 2/3 powers of the number of solvent molecules or was inversely proportional to 0⋅63 powers of the concentration. The relaxation time was roughly equivalent to the lapse of taking for the particle to visit every lattice site impartially.

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Simulation of the nucleation and growth of simple clay minerals in weathering processes: The NANOKIN code

Fritz

Clément

Amal

et al. 2009

Geochimica et Cosmochimica Acta

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Voltammetry and electrodeposition in the presence of attractive interactions: I. a mean-field approach

Cited by 9 publications

References 24 publications

Voltammetry and electrodeposition in the presence of attractive interactions: II. from Monte Carlo simulations to the KJMA–ECNT approach

Voltammetry and electrodeposition in the presence of attractive interactions: II. from Monte Carlo simulations to the KJMA–ECNT approach

Simulation for memory effect of Fick’s first law

Simulation of the nucleation and growth of simple clay minerals in weathering processes: The NANOKIN code

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