New Model

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Marc D. Donohue - One of the best experts on this subject based on the ideXlab platform.

  • A New Model for lattice systems
    The Journal of Chemical Physics, 1996
    Co-Authors: Grigoriy L. Aranovich, Marc D. Donohue
    Abstract:

    A New Model is derived for lattice systems (lattice gas and binary mixtures of monomers). This Model is based on a generalization to three dimensions of the Ono–Kondo equations for the density profile near a flat surface. The internal energy is calculated and compared with previous Models. Unlike many previous theories, this New Model has the correct limiting behavior at infinite dilution, at high densities, when the interchange energy goes to zero and for the lattice gas. In addition, it displays the correct behavior for systems with very strong interactions (such as hydrogen bonds) in that it predicts that the energy saturates to a constant value at a low density. For one‐component, monomer systems, the New theory also describes simulation data for square‐well (off‐lattice) molecules better than previous theories.

Joel T. Johnson - One of the best experts on this subject based on the ideXlab platform.

  • A New Model for Rough Surface Scattering
    IEEE Transactions on Geoscience and Remote Sensing, 2007
    Co-Authors: Tanos M. Elfouhaily, Joel T. Johnson
    Abstract:

    A New Model for rough surface scattering is presented; the Model has a form similar to the small slope approximation (SSA) of Voronovich, but with modified kernel functions. As with the SSA, when including two field series terms in the solution the Model matches the first- and second-order small perturbation method in the low-frequency limit. Unlike the SSA, the Model also achieves agreement with the Kirchhoff approximation in the high-frequency limit even for penetrable surfaces. It is also shown that the New Model achieves first-order tilt invariance for first-order SPM predictions. The New Model is derived based on a previous extension of the local curvature approximation (LCA) to third order; the New Model is termed the "reduced local curvature approximation of third order" (RLCA3) for this reason. Sample results for scattering from dielectric surfaces are presented to illustrate the New Model and its relationship with other theories of rough surface scattering.

Grigoriy L. Aranovich - One of the best experts on this subject based on the ideXlab platform.

  • A New Model for lattice systems
    The Journal of Chemical Physics, 1996
    Co-Authors: Grigoriy L. Aranovich, Marc D. Donohue
    Abstract:

    A New Model is derived for lattice systems (lattice gas and binary mixtures of monomers). This Model is based on a generalization to three dimensions of the Ono–Kondo equations for the density profile near a flat surface. The internal energy is calculated and compared with previous Models. Unlike many previous theories, this New Model has the correct limiting behavior at infinite dilution, at high densities, when the interchange energy goes to zero and for the lattice gas. In addition, it displays the correct behavior for systems with very strong interactions (such as hydrogen bonds) in that it predicts that the energy saturates to a constant value at a low density. For one‐component, monomer systems, the New theory also describes simulation data for square‐well (off‐lattice) molecules better than previous theories.

Bruce Bagley - One of the best experts on this subject based on the ideXlab platform.

Tanos M. Elfouhaily - One of the best experts on this subject based on the ideXlab platform.

  • A New Model for Rough Surface Scattering
    IEEE Transactions on Geoscience and Remote Sensing, 2007
    Co-Authors: Tanos M. Elfouhaily, Joel T. Johnson
    Abstract:

    A New Model for rough surface scattering is presented; the Model has a form similar to the small slope approximation (SSA) of Voronovich, but with modified kernel functions. As with the SSA, when including two field series terms in the solution the Model matches the first- and second-order small perturbation method in the low-frequency limit. Unlike the SSA, the Model also achieves agreement with the Kirchhoff approximation in the high-frequency limit even for penetrable surfaces. It is also shown that the New Model achieves first-order tilt invariance for first-order SPM predictions. The New Model is derived based on a previous extension of the local curvature approximation (LCA) to third order; the New Model is termed the "reduced local curvature approximation of third order" (RLCA3) for this reason. Sample results for scattering from dielectric surfaces are presented to illustrate the New Model and its relationship with other theories of rough surface scattering.