Spherical Model

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J P Burrows - One of the best experts on this subject based on the ideXlab platform.

  • a numerical radiative transfer Model for a Spherical planetary atmosphere combined differential integral approach involving the picard iterative approximation
    Journal of Quantitative Spectroscopy & Radiative Transfer, 2001
    Co-Authors: A Rozanov, V V Rozanov, J P Burrows
    Abstract:

    Abstract A new radiative transfer Model suitable to calculate the radiation field in a Spherical planetary atmosphere has been developed. The suggested approach involves the Picard iterative approximation to solve the radiative transfer equation in its integral form. The radiation field calculated by solving the integro-differential radiative transfer equation in a pseudo-Spherical atmosphere is used as an initial guess for the iterative scheme. The approach has the same advantages as the Monte-Carlo method, but is much more computationally efficient. The comparisons between the Spherical Model presented in this paper and a Monte-Carlo radiative transfer Model for radiances at the top of the atmosphere show differences less than 1% for most situations. The accuracy of the recently developed CDI approach, which was intended to perform fast and accurate radiance computations for non-limb viewing geometry, has been estimated for limb viewing geometry.

  • combined differential integral approach for the radiation field computation in a Spherical shell atmosphere nonlimb geometry
    Journal of Geophysical Research, 2000
    Co-Authors: Alexei Rozanov, V V Rozanov, J P Burrows
    Abstract:

    A new combined differential-integral approach (CDI) has been developed, which is more accurate than commonly used pseudoSpherical Models but not so complicated and computer time-consuming as a fully Spherical Model. The radiative transfer equation is solved in its integral form. The multiple-scattering source function is obtained by solving the integrodifferential radiative transfer equation in a pseudoSpherical atmosphere. Relative differences between the new Model and the pseudoSpherical Model for a variety of solar zenith angles, viewing angles, and azimuth angles for a set of wavelengths are presented. Furthermore, the GDI Model is compared with a Gauss-Seidel Spherical Model (GSS) and with MODTRAN. The difference between GDI and GSS is found to be less than 2% and between GDI and MODTRAN up to 12%.

Andrea Cavagna - One of the best experts on this subject based on the ideXlab platform.

  • spin glass theory for pedestrians
    Journal of Statistical Mechanics: Theory and Experiment, 2005
    Co-Authors: Tommaso Castellani, Andrea Cavagna
    Abstract:

    In these notes the main theoretical concepts and techniques in the field of mean-field spin glasses are reviewed in a compact and pedagogical way, for the benefit of the graduate and undergraduate student. One particular spin-glass Model is analysed (the p-spin Spherical Model) by using three different approaches: thermodynamics, covering pure states, overlaps, overlap distribution, replica symmetry breaking, and the static transition; dynamics, covering the generating functional method, generalized Langevin equation, equations for the correlation and the response, the mode coupling approximation, and the dynamical transition; and finally complexity, covering the mean-field (Thouless–Anderson–Palmer) free energy, metastable states, entropy crisis, threshold energy, and saddles. Particular attention has been paid to the mutual consistency of the results obtained from the different methods.

  • Spin-glass theory for pedestrians
    Journal of Statistical Mechanics: Theory and Experiment, 2005
    Co-Authors: Tommaso Castellani, Andrea Cavagna
    Abstract:

    In these notes the main theoretical concepts and techniques in the field of mean-field spin-glasses are reviewed in a compact and pedagogical way, for the benefit of the graduate and undergraduate student. One particular spin-glass Model is analyzed (the p-spin Spherical Model) by using three different approaches. Thermodynamics, covering pure states, overlaps, overlap distribution, replica symmetry breaking, and the static transition. Dynamics, covering the generating functional method, generalized Langevin equation, equations for the correlation and the response, the Mode Coupling approximation, and the dynamical transition. And finally complexity, covering the mean-field (TAP) free energy, metastable states, entropy crisis, threshold energy, and saddles. Particular attention has been paid on the mutual consistency of the results obtained from the different methods.

Takuji Shintani - One of the best experts on this subject based on the ideXlab platform.

  • pore radius estimation based on organic solute molecular shape and effects of pressure on pore radius for a reverse osmosis membrane
    Journal of Membrane Science, 2011
    Co-Authors: Yoshiaki Kiso, Kentaro Muroshige, Tatsuo Oguchi, Masahiko Hirose, Tomomi Ohara, Takuji Shintani
    Abstract:

    Abstract The pore radius of a reverse osmosis membrane was evaluated by considering the molecular shape of uncharged organic solutes. Molecular shape was approximated by a rectangular parallelepiped; molecular length (L) and molecular width (MWd) were used as shape parameters. The steric partition factor of a solute was calculated from L and MWd, and the Stokes radius and diffusivity were estimated from MWd. Twenty-four alcohols and polyhydric alcohols were used as probe solutes, and pore radius was estimated by both non-Spherical and Spherical Models: a uniform pore-size Model was used. The non-Spherical Model gave better correspondence between calculated and observed rejections for ES10 membrane, and the calculated pore radius (0.506 nm) was larger than that obtained by the Spherical Model (0.301 nm). The effect of applied pressure (0.2–1.0 MPa) on the pore radius was examined with the non-Spherical Model. The results indicated that the pore radius slightly increased with applied pressure, suggesting that the pore was slightly enlarged by increasing the applied pressure.

  • effect of molecular shape on rejection of uncharged organic compounds by nanofiltration membranes and on calculated pore radii
    Journal of Membrane Science, 2010
    Co-Authors: Yoshiaki Kiso, Kentaro Muroshige, Tatsuo Oguchi, Tomomi Ohara, Toshiro Yamada, Masahiko Hhirose, Takuji Shintani
    Abstract:

    Abstract We examined the effects of molecular shape on the rejection of uncharged organic compounds by nanofiltration membranes and on pore radii calculated for those membranes. Molecular shape was approximated by a rectangular parallelepiped; molecular length (L) and molecular width (MWd) were used as shape parameters. The steric partition factor of a solute was calculated from L and MWd, and the Stokes radius and diffusivity were estimated from MWd. Twenty-four alcohols and polyhydric alcohols were used as probe compounds, and pore radius was estimated by both non-Spherical and Spherical Models within a uniform pore-size Model or log-normal pore-size distribution Model. The uniform pore/non-Spherical Model gave better correspondence between the calculated and observed rejections for NTR-729HF membranes, and the calculated pore radius (0.634 nm) was larger than that from the Spherical Model (0.387 nm). Similar results were obtained from previous rejection data. In the case of the non-Spherical Model, employing a log-normal pore-size distribution Model did not improve the correspondence between observed and calculated rejections. The logarithm of the product of calculated solute permeability and pore length log(B* Δx) was correlated linearly with MWd. Molecular width is thus a major factor controlling solute permeation.

Tommaso Castellani - One of the best experts on this subject based on the ideXlab platform.

  • spin glass theory for pedestrians
    Journal of Statistical Mechanics: Theory and Experiment, 2005
    Co-Authors: Tommaso Castellani, Andrea Cavagna
    Abstract:

    In these notes the main theoretical concepts and techniques in the field of mean-field spin glasses are reviewed in a compact and pedagogical way, for the benefit of the graduate and undergraduate student. One particular spin-glass Model is analysed (the p-spin Spherical Model) by using three different approaches: thermodynamics, covering pure states, overlaps, overlap distribution, replica symmetry breaking, and the static transition; dynamics, covering the generating functional method, generalized Langevin equation, equations for the correlation and the response, the mode coupling approximation, and the dynamical transition; and finally complexity, covering the mean-field (Thouless–Anderson–Palmer) free energy, metastable states, entropy crisis, threshold energy, and saddles. Particular attention has been paid to the mutual consistency of the results obtained from the different methods.

  • Spin-glass theory for pedestrians
    Journal of Statistical Mechanics: Theory and Experiment, 2005
    Co-Authors: Tommaso Castellani, Andrea Cavagna
    Abstract:

    In these notes the main theoretical concepts and techniques in the field of mean-field spin-glasses are reviewed in a compact and pedagogical way, for the benefit of the graduate and undergraduate student. One particular spin-glass Model is analyzed (the p-spin Spherical Model) by using three different approaches. Thermodynamics, covering pure states, overlaps, overlap distribution, replica symmetry breaking, and the static transition. Dynamics, covering the generating functional method, generalized Langevin equation, equations for the correlation and the response, the Mode Coupling approximation, and the dynamical transition. And finally complexity, covering the mean-field (TAP) free energy, metastable states, entropy crisis, threshold energy, and saddles. Particular attention has been paid on the mutual consistency of the results obtained from the different methods.

Terence J G Tracey - One of the best experts on this subject based on the ideXlab platform.

  • personal globe inventory measurement of the Spherical Model of interests and competence beliefs
    Journal of Vocational Behavior, 2002
    Co-Authors: Terence J G Tracey
    Abstract:

    Abstract The Personal Globe Inventory (PGI) evolved from the exploratory work on the Spherical structure of interests (Tracey, 1997a; Tracey & Rounds, 1996a,b) and measures activity preferences, activity competence beliefs, and occupational preferences. The PGI is a viable instrument that mirrors information provided by many instruments but also includes greater complexity and flexibility. This monograph describes the inventory, examines its reliability and construct validity, discusses options for profiling inventory results, interprets five illustrative profiles, and suggests directions for future research.