Bridge functions and improvement on the hypernetted-chain approximation for classical one-component plasmas

Iyetomi, Hiroshi; Ogata, Shūji; Ichimaru, Setsuo

doi:10.1103/physreva.46.1051

Cited by 56 publications

(80 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Unlike in the equilibrium case, however, we solve Eqs. (30) and (31) many times, each time producing a small amount of solid material (1 − A ≪ 1). Solid particles created in one step are removed from consideration in all future steps, since we are assuming that these particles do not mix.…”

Section: Resultsmentioning

confidence: 99%

“…(30) and (31) on a particle-toparticle basis, we find that a good approximation can be obtained using 500 steps with A k = 1 − 1/(1001 − k) for each step k. [The difference between the final abundances calculated using 50 steps with A k = 1 − 1/(101 − k) and 500 steps with A k = 1 − 1/(1001 − k), e.g., is less than 0.2%.] The result is given in Table III.…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Crystallization of classical multicomponent plasmas

Medin

Cumming²

2010

Phys. Rev. E

119

View full text Add to dashboard Cite

We develop a method for calculating the equilibrium properties of the liquid-solid phase transition in a classical, ideal, multi-component plasma. Our method is a semi-analytic calculation that relies on extending the accurate fitting formulae available for the one-, two-, and three-component plasmas to the case of a plasma with an arbitrary number of components. We compare our results to those of Horowitz, Berry, & Brown (Phys. Rev. E 75, 066101, 2007), who use a molecular dynamics simulation to study the chemical properties of a 17-species mixture relevant to the ocean-crust boundary of an accreting neutron star, at the point where half the mixture has solidified. Given the same initial composition as Horowitz et al., we are able to reproduce to good accuracy both the liquid and solid compositions at the half-freezing point; we find abundances for most species within 10% of the simulation values. Our method allows the phase diagram of complex mixtures to be explored more thoroughly than possible with numerical simulations. We briefly discuss the implications for the nature of the liquid-solid boundary in accreting neutron stars.

show abstract

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Crystallization of classical multicomponent plasmas

Medin

Cumming²

2010

Phys. Rev. E

119

View full text Add to dashboard Cite

show abstract

“…The OCP and Yukawa models have been intensively investigated by classical Monte Carlo (MC) [14][15][16] and molecular dynamics (MD) [12,17] simulations which can precisely predict the ionic structure, but require a large numerical effort. A computationally less demanding approach is based on integral equations developed in fluid theory [18,19].…”

Section: Introductionmentioning

confidence: 99%

Structure of strongly coupled multicomponent plasmas

et al. 2008

View full text Add to dashboard Cite

We investigate the short range structure in strongly coupled, fluid-like plasmas using the hypernetted chain approach generalized to multi-component systems. Good agreement with numerical simulations validates this method for the parameters considered. We found strong mutual impact on the spacial arrangement for systems with multiple ion species which were most clearly pronounced in the static structure factor. Quantum pseudo-potentials were used to mimic diffraction and exchange effects in dense electron-ion systems. We demonstrate that the different kinds of pseudo-potentials proposed lead to large differences in both the pair distributions and the structure factors. Large discrepancies were also found in the predicted ion feature of the x-ray scattering signal illustrating the need for comparison with full quantum calculations or experimental verification.

show abstract

“…(33), b(r) is a bridge function that that increases the accuracy of the HNC approximation at high Γ. For this term, we apply the model of Iyetomi et al [28]. The HNC approximation has long been benchmarked for the Coulomb OCP, and it has been shown to provide accurate input for the EPT over the range of coupling strengths considered here [14,15].…”

Section: Effective Potential Theorymentioning

confidence: 99%

Temperature anisotropy relaxation of the one‐component plasma

Daligault

2017

Contrib. Plasma Phys

View full text Add to dashboard Cite

The relaxation rate of a Maxwellian velocity distribution function that has an initially anisotropic temperature (T = T ⊥ ) is an important physical process in space and laboratory plasmas. It is also a canonical example of an energy transport process that can be used to test theory. Here, this rate is evaluated using molecular dynamics simulations of the one-component plasma. Results are compared with the predictions of four kinetic theories; two treating the weakly coupled regime (1) the Landau equation, and (2) the Lenard-Balescu equation, and two that attempt to extend the theory into the strongly coupled regime (3) the effective potential theory and (4) the generalized Lenard-Balescu theory. The role of dynamic screening is studied, and is found to have a negligible influence on this transport rate. Oscillations and a delayed relaxation onset in the temperature profiles are observed at strong coupling, which are not described by the kinetic theories.

show abstract

Bridge functions and improvement on the hypernetted-chain approximation for classical one-component plasmas

Cited by 56 publications

References 20 publications

Crystallization of classical multicomponent plasmas

Crystallization of classical multicomponent plasmas

Structure of strongly coupled multicomponent plasmas

Temperature anisotropy relaxation of the one‐component plasma

Contact Info

Product

Resources

About