Search Results - "Chenn, Ilias"
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On Derivation of the Poisson–Boltzmann Equation
Published in Journal of statistical physics (01-09-2020)“…Starting from the microscopic reduced Hartree–Fock equation, we derive the macroscopic linearized Poisson–Boltzmann equation for the electrostatic potential…”
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2
On an effective equation of the reduced Hartree-Fock theory
Published in Advanced nonlinear studies (27-06-2023)“…We show that there is a one-to-one correspondence between solutions to the Poisson-landscape equations and the reduced Hartree-Fock equations in the…”
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On the reduced Hartree-Fock equations with a small Anderson type background charge distribution
Published in Journal of functional analysis (15-12-2022)“…We demonstrate that the reduced Hartree-Fock equation (REHF) with a small Anderson type background charge distribution has an unique stationary solution by…”
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4
Vortex lattices and the Bogoliubov-de Gennes equations
Published in Advances in mathematics (New York. 1965) (26-03-2021)“…We consider the Bogoliubov-de Gennes equations giving an equivalent formulation of the BCS theory of superconductivity. We are interested in static solutions…”
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On Abrikosov Lattice Solutions of the Ginzburg-Landau Equations
Published in Mathematical physics, analysis, and geometry (01-03-2018)“…We prove existence of Abrikosov vortex lattice solutions of the Ginzburg-Landau equations of superconductivity, with multiple magnetic flux quanta per…”
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The Effective Dynamics of the Volume Preserving Mean Curvature Flow
Published in Journal of statistical physics (01-07-2018)“…We consider the dynamics of small closed submanifolds (‘bubbles’) under the volume preserving mean curvature flow. We construct a map from ( n + 1…”
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Macroscopic Electrostatics at Positive Temperature from the Density Functional Theory
Published 01-01-2019“…The purpose of this thesis is to study local perturbations of equilibrium crystalline states of the density functional theory (DFT) at positive temperature…”
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Dissertation -
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On the Reduced Hartree-Fock Equations with a Small Anderson Type Background Charge Distribution
Published 01-05-2021“…We demonstrate that the reduced Hartree-Fock equation (REHF) with a small Anderson type background charge distribution has an unique stationary solution by…”
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Journal Article -
9
Approximating the ground state eigenvalue via the effective potential
Published 01-07-2022“…In this paper, we study 1-d random Schr\"odinger operators on a finite interval with Dirichlet boundary conditions. We are interested in the approximation of…”
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Journal Article -
10
On a Novel Effective Equation of the Reduced Hartree-Fock Theory
Published 25-06-2021“…We show that there is an one-to-one correspondence between solutions to the Poisson-Landscape equations and the reduced Hartree-Fock equations in the…”
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Journal Article