589 research outputs found

    Percolation in deposits for competitive models in (1+1)-dimensions

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    The percolation behaviour during the deposit formation, when the spanning cluster was formed in the substrate plane, was studied. Two competitive or mixed models of surface layer formation were considered in (1+1)-dimensional geometry. These models are based on the combination of ballistic deposition (BD) and random deposition (RD) models or BD and Family deposition (FD) models. Numerically we find, that for pure RD, FD or BD models the mean height of the percolation deposit hˉ\bar h grows with the substrate length LL according to the generalized logarithmic law hˉ(ln(L))γ\bar h\propto (\ln (L))^\gamma, where γ=1.0\gamma=1.0 (RD), γ=0.88±0.020\gamma=0.88\pm 0.020 (FD) and γ=1.52±0.020\gamma=1.52\pm 0.020 (BD). For BD model, the scaling law between deposit density pp and its mean height hˉ\bar h at the point of percolation of type pphˉ1/νhp-p_\infty \propto \bar h^{-1/\nu_h} are observed, where νh=1.74±0.02\nu_h =1.74\pm0.02 is a scaling coefficient. For competitive models the crossover, %in hh versus LL corresponding to the RD or FD -like behaviour at small LL and the BD-like behaviour at large LL are observed.Comment: 8 pages,4 figures, Latex, uses iopart.cl

    Locally Frozen Defects in Random Sequential Adsorption with Diffusional Relaxation

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    Random sequential adsorption with diffusional relaxation, of two by two square objects on the two-dimensional square lattice is studied by Monte Carlo computer simulation. Asymptotically for large lattice sizes, diffusional relaxation allows the deposition process to reach full coverage. The coverage approaches the full occupation value, 1, as a power-law with convergence exponent near 1/2. For a periodic lattice of finite (even) size LL, the final state is a frozen random rectangular grid of domain walls connecting single-site defects. The domain sizes saturate at L**0.8. Prior to saturation, i.e., asymptotically for infinite lattice, the domain growth is power-law with growth exponent near, or possibly somewhat smaller than, 1/2.Comment: 16 pages of text in plain TeX + 6 figures in PostScrip

    Crossover effects in a discrete deposition model with Kardar-Parisi-Zhang scaling

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    We simulated a growth model in 1+1 dimensions in which particles are aggregated according to the rules of ballistic deposition with probability p or according to the rules of random deposition with surface relaxation (Family model) with probability 1-p. For any p>0, this system is in the Kardar-Parisi-Zhang (KPZ) universality class, but it presents a slow crossover from the Edwards-Wilkinson class (EW) for small p. From the scaling of the growth velocity, the parameter p is connected to the coefficient of the nonlinear term of the KPZ equation, lambda, giving lambda ~ p^gamma, with gamma = 2.1 +- 0.2. Our numerical results confirm the interface width scaling in the growth regime as W ~ lambda^beta t^beta, and the scaling of the saturation time as tau ~ lambda^(-1) L^z, with the expected exponents beta =1/3 and z=3/2 and strong corrections to scaling for small lambda. This picture is consistent with a crossover time from EW to KPZ growth in the form t_c ~ lambda^(-4) ~ p^(-8), in agreement with scaling theories and renormalization group analysis. Some consequences of the slow crossover in this problem are discussed and may help investigations of more complex models.Comment: 16 pages, 7 figures; to appear in Phys. Rev.

    No self-similar aggregates with sedimentation

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    Two-dimensional cluster-cluster aggregation is studied when clusters move both diffusively and sediment with a size dependent velocity. Sedimentation breaks the rotational symmetry and the ensuing clusters are not self-similar fractals: the mean cluster width perpendicular to the field direction grows faster than the height. The mean width exhibits power-law scaling with respect to the cluster size, ~ s^{l_x}, l_x = 0.61 +- 0.01, but the mean height does not. The clusters tend to become elongated in the sedimentation direction and the ratio of the single particle sedimentation velocity to single particle diffusivity controls the degree of orientation. These results are obtained using a simulation method, which becomes the more efficient the larger the moving clusters are.Comment: 10 pages, 10 figure

    Percolation in Models of Thin Film Depositions

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    We have studied the percolation behaviour of deposits for different (2+1)-dimensional models of surface layer formation. The mixed model of deposition was used, where particles were deposited selectively according to the random (RD) and ballistic (BD) deposition rules. In the mixed one-component models with deposition of only conducting particles, the mean height of the percolation layer (measured in monolayers) grows continuously from 0.89832 for the pure RD model to 2.605 for the pure RD model, but the percolation transition belong to the same universality class, as in the 2- dimensional random percolation problem. In two- component models with deposition of conducting and isolating particles, the percolation layer height approaches infinity as concentration of the isolating particles becomes higher than some critical value. The crossover from 2d to 3d percolation was observed with increase of the percolation layer height.Comment: 4 pages, 5 figure

    Multilayer passive radiative selective cooling coating based on Al/SiO2/SiNx/SiO2/TiO2/SiO2 prepared by dc magnetron sputtering

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    A multilayer passive radiative selective cooling coating based on Al/SiO2/SiNx/SiO2/TiO2/SiO2 prepared by dc magnetron sputtering is presented. The design was first theoretically optimized using the optical constants, refractive index and extinction coefficient, of thin single layers. The spectral optical constants in the wavelength range from 0.3 to 27 µm were calculated from the transmittance and reflectance data of thin single layers deposited on silicon and glass substrates. The samples were characterized by Scanning Electron Microscopy, X-ray diffraction, Fourier-transform Infrared Spectroscopy and UV–VIS–NIR spectroscopy. It is shown that the TiO2 layer presents a partially rutile phase polycrystalline structure and a higher refractive index than amorphous SiO2 and SiNx layers in the spectral range from 0.3 to 2.5 μm. The cooling device was deposited on copper substrates and a thin low-density polyethylene foil with high transmittance in the 8 to 13 µm spectral range was used as convection cover material. The device is characterized by both low reflectance (high emittance) in the sky atmospheric window (wavelength range from 8 to 13 µm) and high hemispherical reflectance elsewhere, allowing for temperature drops of average 7.4 °C at night-time in winter, which corresponds to a net cooling power of ~43 W m−2. Further, a temperature drop of 2.5 °C was obtained during winter daytime.FCT in the framework of the Strategic Funding UID/FIS/04650/2013 and the financial support of FCT, POCI and PORL operational programs through the project POCI-01-0145-FEDER-016907 (PTDC/CTM-ENE/2892/2014), co-financed by European community fund FEDE

    High Out-Of-Pocket Medical Spending Among the Poor and Elderly in Nine Developed Countries

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    Objective: The design of health insurance, and the role out-of-pocket (OOP) payments play in it, is a key policy issue as rising health costs have encouraged greater cost-sharing measures. This paper compares the percentage of Americans spending large amounts OOP to meet their health needs with percentages in eight other developed countries. By disaggregating by age and income, the paper focuses on the poor and elderly populations within each. Data Source: The study uses nationally representative household survey data made available through the Luxembourg Income Study. It includes nations with high, medium, and low levels of OOP spending. Study Design: Households have high medical spending when their OOP expenditures exceed a threshold share of income. I calculate the share of each nation\u27s population, as well as subpopulations within it, with high OOP expenditures. Principal Findings: The United States is not alone in exposing large numbers of citizens to high OOP expenses. In six of the other eight countries, one-quarter or more of low-income citizens devoted at least 5 percent of their income to OOP expenses, and in all but two countries, more than 1 in 10 elderly citizens had high medical expenses. Conclusions: For some populations in the sample nations, health insurance does not provide adequate financial protection and likely contributes to inequities in health care delivery and outcomes. © Health Research and Educational Trus
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