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Two liquid state theories, the self-consistent Ornstein-Zernike equation (SCOZA) and the hierarchical reference theory (HRT) are shown, by comparison with Monte Carlo simulations, to perform extremely well in predicting the liquid-vapour coexistence of the hard-core Yukawa (HCY) fluid when the interaction is long range. The long range of the potential is treated in the simulations using both an Ewald sum and hyperspherical boundary conditions. In addition, we present an analytical optimized mean field theory which is exact in the limit of an infinitely long-range interaction. The work extends a previous one by C. Caccamo, G. Pellicane, D. Costa, D. Pini, and G. Stell, Phys. Rev. E 60, 5533 (1999) for short-range interactions.

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“…In the S 3 geometry the Green's function of the Helmholtz equation for the Yukawa fluid is obtained analytically [37,38]:…”

Section: The Hypersphere Methods For Yukawa Interactionsmentioning

confidence: 99%

“…Recent Monte Carlo simulations of Yukawa plasmas have been performed with this method [38,41]. Here we apply it to a liquid of attractive Yukawa spheres.…”

Section: The Hypersphere Methods For Yukawa Interactionsmentioning

confidence: 99%

Liquid–vapour transition of the long range Yukawa fluid

et al. 2007

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“…Thermodynamic properties of Yukawa systems have been extensively studied using various computational and analytical techniques. Relevant examples include Monte Carlo (MC) and molecular dynamics (MD) numerical simulations [50][51][52][53], as well as integral equation theoretical studies [54][55][56][57]. Accurate values of various thermodynamic quantities have been tabulated in a wide region of (κ, Γ) phase space (in particular, see Refs.…”

Section: Thermodynamic Functions Of Yukawa Fluidsmentioning

confidence: 99%

“…Accurate values of various thermodynamic quantities have been tabulated in a wide region of (κ, Γ) phase space (in particular, see Refs. [52,53]). Simple practical expressions for u, p, and µ have been put forward recently [41].…”

Section: Thermodynamic Functions Of Yukawa Fluidsmentioning

confidence: 99%

Fluid approach to evaluate sound velocity in Yukawa systems and complex plasmas

Khrapak¹,

Thomas²

2015

Phys. Rev. E

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The conventional fluid description of multi-component plasma, supplemented by an appropriate equation of state for the macroparticle component, is used to evaluate the longitudinal sound velocity of Yukawa fluids. The obtained results are in very good agreement with those obtained earlier employing the quasi-localized charge approximation and molecular dynamics simulations in a rather broad parameter regime. Thus, a simple yet accurate tool to estimate the sound velocity across coupling regimes is proposed, which can be particularly helpful in estimating the dust-acoustic velocity in strongly coupled dusty (complex) plasmas. It is shown that, within the present approach, the sound velocity is completely determined by particle-particle correlations and the neutralizing medium (plasma), apart from providing screening of the Coulomb interaction, has no other effect on the sound propagation. The ratio of the actual sound velocity to its "ideal gas" (weak coupling) scale only weakly depends on the coupling strength in the fluid regime, but exhibits a pronounced decrease with the increase of the screening strength. The limitations of the present approach in applications to real complex plasmas are briefly discussed.

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“…In computer simulation, if κ is large enough, one may use truncation of the potential and minimum image convention [441][442][443][444][445]; however, when κ is smaller or near the Coulomb limit (κ → 0), truncation of the potential introduces severe bias [446,292,447]. Therefore, there are value of κ(̸ =0) for which one has to use algorithms for long ranged interactions to obtain an accurate estimation of the lattice sums for Yukawa interactions [448,441,442,164,443]. By using the same derivation as for Coulomb interaction, one may derive Ewald summations for Yukawa interactions that tends to the Ewald summations for Coulomb interactions at limit κ → 0.…”

Section: Screened Coulomb Interactions (Yukawa Potentials)mentioning

confidence: 99%

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

Mazars

2011

Physics Reports

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Cited by 29 publications

References 22 publications

Liquid–vapour transition of the long range Yukawa fluid

Liquid–vapour transition of the long range Yukawa fluid

Fluid approach to evaluate sound velocity in Yukawa systems and complex plasmas

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

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