An accurate equation of state for the one-component plasma in the low coupling regime

Caillol, Jean‐Michel; Gilles, D.

doi:10.1088/1751-8113/43/10/105501

Cited by 18 publications

(37 citation statements)

References 20 publications

(64 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The DHH value is very close to that, u DHH (2) ≃ −0.29324, while the DH value is considerably below the exact one, u DH (2) ≃ −0.57721. In the strongly coupled regime Γ ≫ 1, the DHH approximation yields the correct scaling u ex ∝ Γ, but the coefficient of For the 3D case, symbols are the results from numerical MC [14,15] and MD [11,12] 2D). In Figure 2 we compare the energies obtained using the DHH approach with those obtained using Monte Carlo (MC) and molecular dynamics (MD) computer simulations.…”

Section: B Debye-hückel Plus Hole Approximationmentioning

confidence: 99%

See 1 more Smart Citation

Internal Energy of the Classical Two‐ and Three‐Dimensional One‐Component‐Plasma

Khrapak

2016

Contrib. Plasma Phys.

View full text Add to dashboard Cite

We summarize several semi-phenomenological approaches to estimate the internal energy of onecomponent-plasma (OCP) in two (2D) and three (3D) dimensions. Particular attention is given to a hybrid approach, which reproduces the Debye-Hückel asymptote in the limit of weak coupling, the ion sphere (3D) and ion disc (2D) asymptotes in the limit of strong coupling, and provides reasonable interpolation between these two limits. More accurate ways to estimate the internal energy of 2D and 3D OCP are also discussed. The accuracy of these analytic results is quantified by comparison with existing data from numerical simulations. The relevance of the KTHNY theory in locating melting transition in 2D OCP is briefly discussed.

show abstract

Section: B Debye-hückel Plus Hole Approximationmentioning

confidence: 99%

“…In the 3D case, we have at weak coupling z ∼ Γ and the DH result is immediately recovered. In the 2D case numerical integration is generally required in (15), but it can be also shown that the result reduces to the DH one in the weakly coupled limit (Γ ≪ 1).…”

Section: Hybrid Approximationmentioning

confidence: 99%

Internal Energy of the Classical Two‐ and Three‐Dimensional One‐Component‐Plasma

Khrapak

2016

Contrib. Plasma Phys.

View full text Add to dashboard Cite

show abstract

“…an assembly of point charges of the same sign immersed in a uniform neutralizing continuum-may be seen as an assembly of N identical pseudo-charges, the individual neutralizing back-grounds of the pseudo-charges adding up to constitute the total neutralizing bath of the model. High precision Monte Carlo (MC) simulations of the thermodynamic and structural properties of the OCP have been obtained by MC simulations of a collection of pseudo-charges living in S 3 [8]. Of course multipolar interactions are easily derived from these basic Coulomb interactions and more complex Coulomb fluids such as polar fluids or electrolytes can be and have actually been simulated before in S 3 , see e.g.…”

Section: Introductionmentioning

confidence: 99%

A new dipolar potential for numerical simulations of polar fluids on the 4D hypersphere

Caillol

Trulsson

2014

The Journal of Chemical Physics

Self Cite

View full text Add to dashboard Cite

We present a new method for Monte Carlo or Molecular Dynamics numerical simulations of three dimensional polar fluids. The simulation cell is defined to be the surface of the northern hemisphere of a four-dimensional (hyper)sphere. The point dipoles are constrained to remain tangent to the sphere and their interactions are derived from the basic laws of electrostatics in this geometry. The dipole-dipole potential has two singularities which correspond to the following boundary conditions : when a dipole leaves the northern hemisphere at some point of the equator, it reappears at the antipodal point bearing the same dipole moment. We derive all the formal expressions needed to obtain the thermodynamic and structural properties of a polar liquid at thermal equilibrium in actual numerical simulation. We notably establish the expression of the static dielectric constant of the fluid as well as the behavior of the pair correlation at large distances. We report and discuss the results of extensive numerical Monte Carlo simulations for two reference states of a fluid of dipolar hard spheres and compare these results with previous methods with a special emphasis on finite size effects.

show abstract

“…The method is based on the solution of Laplace equation in the non-Euclidean geometry of hypersphere [396], it was applied to monoatomic systems as the Restricted Primitive Model [398,399], One Component Plasma [400,401], dipolar [397] and Stockmayer [402] fluids and compared to Ewald methods [399]. Similar studies were done before for 2D systems constrained to the surface of a 3D sphere [96,[403][404][405].…”

Section: Hyperspherical Geometrymentioning

confidence: 99%

Long ranged interactions in computer simulations and for quasi-2D systems

Mazars

2011

Physics Reports

View full text Add to dashboard Cite

An accurate equation of state for the one-component plasma in the low coupling regime

Cited by 18 publications

References 20 publications

Internal Energy of the Classical Two‐ and Three‐Dimensional One‐Component‐Plasma

Internal Energy of the Classical Two‐ and Three‐Dimensional One‐Component‐Plasma

A new dipolar potential for numerical simulations of polar fluids on the 4D hypersphere

Long ranged interactions in computer simulations and for quasi-2D systems

Contact Info

Product

Resources

About