Pair Correlation Function

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The Experts below are selected from a list of 225 Experts worldwide ranked by ideXlab platform

Anirban Bose - One of the best experts on this subject based on the ideXlab platform.

Eric G. Novak - One of the best experts on this subject based on the ideXlab platform.

  • Supersymmetric Pair Correlation Function of Wilson loops
    Physical Review D, 2000
    Co-Authors: Shyamoli Chaudhuri, Eric G. Novak
    Abstract:

    We give a path integral derivation of the annulus diagram in a supersymmetric theory of open and closed strings with D-branes. We compute the Pair Correlation Function of Wilson loops in the generic weakly coupled supersymmetric flat spacetime background with D-branes. We obtain a $\ensuremath{-}{u}^{4}{/r}^{9}$ potential between heavy nonrelativistic sources in a supersymmetric gauge theory at short distances.

  • Pair Correlation Function of wilson loops
    Physical Review D, 2000
    Co-Authors: Shyamoli Chaudhuri, Yujun Chen, Eric G. Novak
    Abstract:

    We give a path integral prescription for the Pair Correlation Function of Wilson loops lying in the worldvolume of Dbranes in the bosonic open and closed string theory. The results can be applied both in ordinary flat spacetime in the critical dimension d or in the presence of a generic background for the Liouville field. We compute the potential between heavy nonrelativistic sources in an abelian gauge theory in relative collinear motion with velocity v = tanh(u), probing length scales down to r_min^2 = 2 \pi \alpha' u. We predict a universal -(d-2)/r static interaction at short distances. We show that the velocity dependent corrections to the short distance potential in the bosonic string take the form of an infinite power series in the dimensionless variables z = r_min^2/r^2, uz/\pi, and u^2.

Didier Blavette - One of the best experts on this subject based on the ideXlab platform.

  • Clustering and Pair Correlation Function in atom probe tomography.
    Ultramicroscopy, 2010
    Co-Authors: T. Philippe, Sébastien Duguay, Didier Blavette
    Abstract:

    The measurement of the composition of small clusters from 3D maps as provided by atom probe tomography or Monte-Carlo simulations is a very tricky issue. A method based on Pair Correlation Functions was developed. The analytical expression of the Pair Correlation Function as a Function of the phase composition, the number density and the size of spherical particles for a two-phase mono-dispersed system has been established. A best-fit procedure applied to experimental Pair Correlation Function is shown to be a simple, fast and elegant way to determine the concentration of clusters and that of the parent phase as well as the radius and the number density of clusters. Application to carbon-doped silicon demonstrates the validity of this approach. Results were found very close to those derived by other means. This method was also applied to boron clustering in implanted silicon where clusters are not visible in 3D images. The advantage of this approach over other methods such as erosion or cluster identification is discussed.

  • Clustering and Pair Correlation Function in atom probe tomography
    Ultramicroscopy, 2010
    Co-Authors: T. Philippe, Sébastien Duguay, Didier Blavette
    Abstract:

    The measurement of the composition of small clusters from 3D maps as provided by atom probe tomography or Monte-Carlo simulations is a very tricky issue. A method based on Pair Correlation Functions was developed. The analytical expression of the Pair Correlation Function as a Function of the phase composition, the number density and the size of spherical particles for a two-phase mono-dispersed system has been established. A best-fit procedure applied to experimental Pair Correlation Function is shown to be a simple, fast and elegant way to determine the concentration of clusters and that of the parent phase as well as the radius and the number density of clusters. Application to carbon-doped silicon demonstrates the validity of this approach. Results were found very close to those derived by other means. This method was also applied to boron clustering in implanted silicon where clusters are not visible in 3D images. The advantage of this approach over other methods such as erosion or cluster identification is discussed. ?? 2010 Elsevier B.V.

Shyamoli Chaudhuri - One of the best experts on this subject based on the ideXlab platform.

  • Supersymmetric Pair Correlation Function of Wilson loops
    Physical Review D, 2000
    Co-Authors: Shyamoli Chaudhuri, Eric G. Novak
    Abstract:

    We give a path integral derivation of the annulus diagram in a supersymmetric theory of open and closed strings with D-branes. We compute the Pair Correlation Function of Wilson loops in the generic weakly coupled supersymmetric flat spacetime background with D-branes. We obtain a $\ensuremath{-}{u}^{4}{/r}^{9}$ potential between heavy nonrelativistic sources in a supersymmetric gauge theory at short distances.

  • Pair Correlation Function of wilson loops
    Physical Review D, 2000
    Co-Authors: Shyamoli Chaudhuri, Yujun Chen, Eric G. Novak
    Abstract:

    We give a path integral prescription for the Pair Correlation Function of Wilson loops lying in the worldvolume of Dbranes in the bosonic open and closed string theory. The results can be applied both in ordinary flat spacetime in the critical dimension d or in the presence of a generic background for the Liouville field. We compute the potential between heavy nonrelativistic sources in an abelian gauge theory in relative collinear motion with velocity v = tanh(u), probing length scales down to r_min^2 = 2 \pi \alpha' u. We predict a universal -(d-2)/r static interaction at short distances. We show that the velocity dependent corrections to the short distance potential in the bosonic string take the form of an infinite power series in the dimensionless variables z = r_min^2/r^2, uz/\pi, and u^2.

J. M. Caillol - One of the best experts on this subject based on the ideXlab platform.

  • asymptotic behavior of the Pair Correlation Function of a polar liquid
    Journal of Chemical Physics, 1992
    Co-Authors: J. M. Caillol
    Abstract:

    We derive the asymptotic behavior of the PairCorrelation Function of a polar liquid in a finite geometry in the frame of linear‐response theory. The case of periodic and hyperspherical geometries is discussed in detail and our predictions are compared with the results of numerical simulations. A new method for the determination of the dielectric constant of a polar fluid confined to the surface of a hypersphere is proposed.

  • Asymptotic behavior of the PairCorrelation Function of a polar liquid
    The Journal of Chemical Physics, 1992
    Co-Authors: J. M. Caillol
    Abstract:

    We derive the asymptotic behavior of the PairCorrelation Function of a polar liquid in a finite geometry in the frame of linear‐response theory. The case of periodic and hyperspherical geometries is discussed in detail and our predictions are compared with the results of numerical simulations. A new method for the determination of the dielectric constant of a polar fluid confined to the surface of a hypersphere is proposed.