Anomalous Diffusion Mediated by Atom Deposition into a Porous Substrate

Brault, Pascal; Josserand, Christophe; Bauchire, Jean-Marc; Caillard, Amaël; Charles, Christine; Boswell, Rod

doi:10.1103/physrevlett.102.045901

Cited by 47 publications

(73 citation statements)

References 17 publications

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“…Pascal Brault (1) (Pascal.Brault@univ-orleans.fr), Jean-Marc Bauchire (1) , Amaël Caillard (1) , Anne-Lise Thomann (1) , Mathieu Mougenot (1,2) , Christophe Coutanceau (3) , Steve Baranton (3) , Pascal Andreazza (4) , Caroline Andreazza-Vignolle (4) , François James (5) et Christophe Josserand (6) …”

Section: Les Piles à Combustibleunclassified

“…L'élaboration de la phase catalytique est alors directement liée au problème de transport/diffusion/ agrégation/croissance en milieu poreux. Pour traiter le problème, nous avons mis en place trois approches : une étude théorique de la « diffusion » du platine dans la couche poreuse [5,6], une étude de la répartition des agrégats dans le milieu poreux par diffusion des rayons X aux petits angles en incidence rasante (GISAXS), et une étude par microscopie électronique en transmission à haute résolution (HRTEM) [7].…”

Section: Pulvérisation Plasmaunclassified

“…La littérature est riche de la description de phénomènes de transport/diffusion. Nous nous sommes donc penchés sur ceux concernant les milieux poreux, et nous avons testé l'équation de diffusion unidimensionnelle correspondante [5,6] :…”

Section: Pulvérisation Plasmaunclassified

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“…The Pt depth profile for an electrode loaded with 0.01 mg Pt cm -2 , as presented elsewhere, showed that platinum penetrates down to 500 nm inside the diffusion layer. This rather important penetration depth is due to the deposition method, which allows depositing atoms with high kinetic energy [11,12]. A four-step process occurs during deposition: transport in the porous layer pores, adsorption on carbon particle surface, platinum diffusion on the carbon particles and Pt cluster growth.…”

Section: Characterizations Of Catalystsmentioning

confidence: 99%

High Performance Plasma Sputtered Fuel Cell Electrodes with Ultra Low Catalytic Metal Loadings

Coutanceau¹,

Brault²,

Caillard³

et al. 2011

ECS Trans.

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Ultra-low Pt content PEMFC electrodes have been manufactured using magnetron co-sputtering of carbon and platinum on a commercial E-Tek uncatalyzed gas diffusion layer in plasma fuel cell deposition devices. Pt loadings lower than 0.01 mg cm-2 have been realized. The Pt catalyst is dispersed as small clusters with size less than 2 nm over a depth of 500 nm. PEMFC test with symmetric electrodes loaded with 0.01 mg cm-2 led to maximum reproducible power densities as high as 0.4 Wcm-2 with Nafion 212. Replacement of platinum by palladium using plasma sputtering methods was also realized by preparing MEAs composed of 0.01 mgPd cm-2 for the anode and 0.01 mgPd cm-2 + 0.001 mgPt cm-2 for the cathode and Nafion 212 membrane. Power density as high as 250 mW cm-2 were achieved at 80°C, which corresponds to a specific power density of 250 kW gPt-1.

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“…A major class of anomalous diffusion is subdiffusion. It is a rather general process and has been observed in such as atomic transport in porous substrates [4], cell migration in vivo [5], enzymatic binding in crowded cellular environments [6], local viscoelastic response in actin networks [7], and conformational fluctuation of protein molecules [8][9][10][11]. One of the mechanisms leading to subdiffusion is chain-dynamics-induced distance fluctuations [12], such as in the Rouse model, which has been used extensively in studies of polymers [13].…”

Section: Introductionmentioning

confidence: 99%

Langevin dynamics of correlated subdiffusion and normal diffusion

Wang

Zhao²,

Yan³

2012

Phys. Rev. E

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We analyze the dissipative dynamics of a particle governed by a two-dimensional generalized Langevin equation with coupled fractional Gaussian noise and white noise in its respective coordinates, assuming the lowest-order coupling form. Two situations are studied: In the first the particle is free from external force and in the second the particle is subject to a two-dimensional harmonic potential. We derive the general expressions for the mean values, variances, and velocity autocorrelation function and evaluate their temporal evolutions via the numerical Laplace inversion technique. Through the analytical results of the short-time and long-time behaviors, we also explicitly elucidate the effects of fluctuation correlation coupling and interoscillator coupling on the dynamic behaviors of the particle. It is shown that in both situations the couplings do not affect the short-time behavior of self-diffusions in each coordinate, and the subdiffusive and normal diffusive features of these processes resemble those in a one-dimensional system with fractional Gaussian noise and white noise, respectively. However, over a long time period, the fluctuation correlation extends the characteristic time scales for the self-diffusions of a free particle; while only the interoscillator coupling induces a retardation of the relaxation processes of a bounded particle toward equilibrium. Moreover, both couplings generate a cross diffusion, whose long-time approximation has two possible forms, the selection of which depends on the relevant time scales of self-diffusions in each coordinate.

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Anomalous Diffusion Mediated by Atom Deposition into a Porous Substrate

Cited by 47 publications

References 17 publications

Physique, Plasmas, Matériaux et Énergie : les piles à combustible

Physique, Plasmas, Matériaux et Énergie : les piles à combustible

High Performance Plasma Sputtered Fuel Cell Electrodes with Ultra Low Catalytic Metal Loadings

Langevin dynamics of correlated subdiffusion and normal diffusion

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