Explicit Dependence

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Martin Kaupp - One of the best experts on this subject based on the ideXlab platform.

  • local hybrid functionals with an Explicit Dependence on spin polarization
    Journal of Physical Chemistry A, 2009
    Co-Authors: Alexei V Arbuznikov, Hilke Bahmann, Martin Kaupp
    Abstract:

    A new family of local hybrid functionals with a position-dependent mixture of local and exact exchange has been constructed. On the basis of conceptual similarities between local hybrids and Explicit nondynamical correlation functionals, the relative spin polarization has been introduced as an additional variable into the local mixing function (LMF) that determines the position Dependence of the exact exchange admixture. This leads to two new two-parameter LMFs, one based on the ratio of the local kinetic energy density to the von Weizsacker kinetic energy density and the other on the dimensionless density gradient. After optimization of the two free parameters for small test sets, significant improvements of atomization energies of the full G3 set are obtained (mean absolute errors of 2.96 and 3.18 kcal mol -1 , respectively), with minor deterioration for classical reaction barriers (HTBH38 and NHTBH38 test sets). The simultaneous description of two-center three-electron dimer cations remains a challenge. It is shown that the exact and local spin density exchange energy densities have closely related gauge definitions, so that gauge mismatch is only a minor problem for local hybrids based on local exchange.

Madappa Prakash - One of the best experts on this subject based on the ideXlab platform.

  • Anharmonicity of the nuclear matter ground state and the RHA
    Physics Reports, 1994
    Co-Authors: Paul J. Ellis, Erik K. Heide, Serge Rudaz, Madappa Prakash
    Abstract:

    Abstract The correlation between the compression modulus and the skewness coefficient of the nuclear matter ground state implied by the breathing mode data is compared with predictions of the relativistic Hartree approximation (RHA). Retaining Explicit Dependence on the renormalization scale μ, employed in the RHA, this correlation, together with other considerations, suggests a value for μ/M ⋍ 1.2 .

  • Anharmonicity of the nuclear matter ground state
    Physics Letters B, 1992
    Co-Authors: Serge Rudaz, Paul J. Ellis, Erik K. Heide, Madappa Prakash
    Abstract:

    Abstract The correlation between the compression modulus and the skewness coefficient of the nuclear matter ground state implied by the breathing mode data is compared with predictions of the relativistic Hartree approximation (RHA). Retaining Explicit Dependence on the renormalization scale, μ, employed in the RHA, this correlation, together with other considerations, suggests a value for μ M ⋍ 1.2 .

Angelia Nedic - One of the best experts on this subject based on the ideXlab platform.

  • GlobalSIP - A Lyapunov approach to discrete-time linear consensus
    2014 IEEE Global Conference on Signal and Information Processing (GlobalSIP), 2014
    Co-Authors: Angelia Nedic
    Abstract:

    A Lyapunov approach is developed to establish the convergence rates of discrete-time linear consensus. The approach combines the use a quadratic time-varying comparison function and an adjoint dynamics of the linear consensus dynamics. New convergence rate results are obtained that are characterized with an Explicit Dependence on the graph structure including the longest shortest path.

  • A Lyapunov approach to discrete-time linear consensus
    2014 IEEE Global Conference on Signal and Information Processing (GlobalSIP), 2014
    Co-Authors: Angelia Nedic
    Abstract:

    A Lyapunov approach is developed to establish the convergence rates of discrete-time linear consensus. The approach combines the use a quadratic time-varying comparison function and an adjoint dynamics of the linear consensus dynamics. New convergence rate results are obtained that are characterized with an Explicit Dependence on the graph structure including the longest shortest path.

Alexei V Arbuznikov - One of the best experts on this subject based on the ideXlab platform.

  • local hybrid functionals with an Explicit Dependence on spin polarization
    Journal of Physical Chemistry A, 2009
    Co-Authors: Alexei V Arbuznikov, Hilke Bahmann, Martin Kaupp
    Abstract:

    A new family of local hybrid functionals with a position-dependent mixture of local and exact exchange has been constructed. On the basis of conceptual similarities between local hybrids and Explicit nondynamical correlation functionals, the relative spin polarization has been introduced as an additional variable into the local mixing function (LMF) that determines the position Dependence of the exact exchange admixture. This leads to two new two-parameter LMFs, one based on the ratio of the local kinetic energy density to the von Weizsacker kinetic energy density and the other on the dimensionless density gradient. After optimization of the two free parameters for small test sets, significant improvements of atomization energies of the full G3 set are obtained (mean absolute errors of 2.96 and 3.18 kcal mol -1 , respectively), with minor deterioration for classical reaction barriers (HTBH38 and NHTBH38 test sets). The simultaneous description of two-center three-electron dimer cations remains a challenge. It is shown that the exact and local spin density exchange energy densities have closely related gauge definitions, so that gauge mismatch is only a minor problem for local hybrids based on local exchange.

E. Ya. Khruslov - One of the best experts on this subject based on the ideXlab platform.