jaxrts.hnc_potentials.KelbgPotential

class jaxrts.hnc_potentials.KelbgPotential(include_electrons: Literal['off', 'SpinAveraged', 'SpinSeparated'] = 'off')[source]

Quantum diffraction potential suggested by Kelbg. See [Wünsch, 2011] Eqn. 4.43, who cites [Kelbg, 1963], and [Schwarz et al., 2007], Eqn 14. We use the definition of \(\lambda_{ab}\) from [Schwarz et al., 2007].

Note

Only applicable for weakly coupled systems with \(\Gamma < 1\).

Methods

T(plasma_state)

The mass_weighted temperature average of a pair, according to [Schwarz et al., 2007].

__init__([include_electrons])

alpha(plasma_state)

check(plasma_state)

Test if the HNCPotential is applicable to the PlasmaState.

citation([style, comment])

Return bibliographic information for the Model used.

full_k(plasma_state, k)

full_r(plasma_state, r)

lambda_ab(plasma_state)

long_k(plasma_state, k)

The known Fourier transform of the Coulomb's potential long-range part.

long_r(plasma_state, r)

The long-range behavior of the Deutsch-Potentials should be the identical to the Coulomb-Potential.

mu(plasma_state)

The geometric mean of two masses (or reciprocal sum)

prepare(plasma_state, key)

q2(plasma_state)

This is \(q^2\)!

r_cut(plasma_state)

This casts jaxrts.PlasmaState.ion_core_radius in the form required to be used with an :py:class:~.HNCPotential`.

short_k(plasma_state, k)

The Fourier transform of short_r().

short_r(plasma_state, r)

Attributes

allowed_keys

A list of keys where this Potential is adequate for.

cite_keys

A list of bibtex keys.

include_electrons

If "SpinAveraged", the electrons are added as the n+1th ion species to the potential.

Examples using jaxrts.hnc_potentials.KelbgPotential

HNC: Electron-Ion Potentials

HNC: Electron-Ion Potentials

Compare HNC Calculations to Gregori.2006

Compare HNC Calculations to Gregori.2006

Static structure factor of the electron-ion system

Static structure factor of the electron-ion system