The leading correction to the Thomas–Fermi model at finite temperature

@article{Segev2014TheLC,
  title={The leading correction to the Thomas–Fermi model at finite temperature},
  author={Eyal Segev and Doron Gazit},
  journal={Physica A: Statistical Mechanics and its Applications},
  year={2014}
}
  • Eyal SegevD. Gazit
  • Published 7 December 2014
  • Physics
  • Physica A: Statistical Mechanics and its Applications
View PDF on arXiv
1 Citation

Figures and Tables from this paper

One Citation

Effect of radiation on compressibility of hot dense sodium and iron plasma using improved screened hydrogenic model with l splitting

High pressure investigations of matter involve the study of strong shock wave dynamics within the materials which gives rise to many thermal effects leading to dissociation of molecules, ionization…

60 References

Statistical atom: Some quantum improvements

The Thomas-Fermi model is improved by simultaneously introducing three different quantum corrections. The first concerns the nonlocality of quantum mechanics; we go beyond the von Weizs\"acker…

Thomas-Fermi model: The leading correction

The correct treatment of strongly bound electrons is grafted smoothly onto the Thomas-Fermi computation of the total binding energy of neutral atoms. This provides a clearcut demonstration of the…

Note on Exchange Phenomena in the Thomas Atom

  • P. Dirac
  • Physics
    Mathematical Proceedings of the Cambridge Philosophical Society
  • 1930
For dealing with atoms involving many electrons the accurate quantum theory, involving a solution of the wave equation in many-dimensional space, is far too complicated to be practicable. One must…

Temperature Behavior of the Thomas-Fermi Statistical Model for Atoms

Abstract : The usual theoretical calculations of equations of state and specific heats, particularly at high temperatures and pressures, are dependent on the Thomas-Fermi statistical model of the…

Correction of the statistical model of matter near nuclei

A near-nucleus correction for the finite-temperature Thomas-Fermi model

The finite-temperature Thomas-Fermi model has been used for many years to describe the electronic structure of hot dense plasmas. The authors investigates a simple correction to this model which…

LXXXII. The binding energy of the Thomas-Fermi Atom

Abstract The Thomas-Fermi statistical model of the atom leads to the formula 20·92Z 7,3 ev for the total binding energy of an atom with atomic number Z, but this formula gives values which are too…

Thomas-Fermi model: The second correction

A simple derivation is given for the first quantum correction to the Thomas-Fermi kinetic energy . Its application to the total binding energy of neutral atoms exploits the technique for handling…

Generalized-gradient-approximation noninteracting free-energy functionals for orbital-free density functional calculations

We develop a framework for orbital-free generalized gradient approximations (GGAs) for the noninteracting free energy density and its components (kinetic energy, entropy) based upon analysis of the…

The Thomas-Fermi theory of atoms, molecules and solids

...