Poisson equation and a self-consistent periodical Anderson model

Ja n 20 01 Poisson equation and self - consistent periodical Anderson model

We show that the formally exact expression for the free energy (with a non-relativistic Hamiltonian) for the correlated metal generates the Poisson equation within the saddle-point approximation for the electric potential, where the charge density automatically includes correlations. In this approximation the problem is reduced to the self-consistent periodical Anderson model (SC-PAM). The para...

Self-consistent Theory of Anderson Localization

A Self-consistent Ornstein-zernike Approximation for the Edwards-anderson Spin Glass Model *

We propose a self-consistent Ornstein-Zernike approximation for studying the Edwards-Anderson spin glass model. By performing two Legendre transforms in replica space, we introduce a Gibbs free energy depending on both the magnetizations and the overlap order parameters. The correlation functions and the thermodynamics are then obtained from the solution of a set of coupled partial differential...

A generalized Poisson equation and short-range self-interaction energies.

We generalize the Poisson equation to attenuated Newtonian potentials. If the attenuation is at least exponential, the equation provides a local mapping between the density and its potential. We use this to derive several density functionals for the short-range self-interaction energy.

Self-consistent equation of plant cell growth.

We introduce a transcendental equation, describing the subsequent stages of plant cell/organ growth. Starting from empirically verified conclusions originating from the central limit theorem we also insert the influence of temperature on elongation growth to receive a time-dependent equation of growth parameterized by temperature. This self-consistent equation evolves with time using three card...