Browsing by Subject "Correlation effects"

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    Beyond Poisson-Boltzmann : fluctuations and fluid structure in a self-consistent theory
    (Institute of Physics Publishing, 2016) Büyükdağlı, Şahin; Blossey, Ralf
    Poisson-Boltzmann (PB) theory is the classic approach to soft matter electrostatics and has been applied to numerous physical chemistry and biophysics problems. Its essential limitations are in its neglect of correlation effects and fluid structure. Recently, several theoretical insights have allowed the formulation of approaches that go beyond PB theory in a systematic way. In this topical review, we provide an update on the developments achieved in the self-consistent formulations of correlation-corrected Poisson-Boltzmann theory. We introduce a corresponding system of coupled non-linear equations for both continuum electrostatics with a uniform dielectric constant, and a structured solvent - a dipolar Coulomb fluid - including non-local effects. While the approach is only approximate and also limited to corrections in the so-called weak fluctuation regime, it allows us to include physically relevant effects, as we show for a range of applications of these equations.
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    Correlations in charged fermion-boson mixture in dimensionalities D = 2 and D = 3
    (Elsevier B.V., 2006) Asgari, R.; Tanatar, Bilal
    We numerically study the correlation effects in a two-component charged fermion-boson mixture at zero temperature investigating the role played by the statistical effects and Coulomb correlations in a model with different fermion and boson mass ratios in two and three dimensions. The local-field factors describing the correlation effects and collective excitation modes are determined through the self-consistent scheme. We find that the effects of correlations and statistics are more pronounced in two-dimensional mixtures.