Thermodynamics of Yukawa systems and sound velocity in dusty plasmas

Khrapak, S. A.

doi:10.1088/0741-3335/58/1/014022

Cited by 35 publications

(31 citation statements)

References 76 publications

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“…Thermodynamics and dynamics of 3D Yukawa fluids and crystals in this regime have been extensively studied in the literature. [10][11][12][13][14][15][16][17][18] Depending on the values of Γ and κ, Yukawa systems can form either a fluid or, at sufficiently high Γ, a solid phase. There is no gas-liquid phase transition, because attraction is absent.…”

Section: Background Informationmentioning

confidence: 99%

Practical formula for the shear viscosity of Yukawa fluids

Khrapak

2018

AIP Advances

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A simple practical formula for the shear viscosity coefficient of Yukawa fluids is presented. This formula allows estimation of the shear viscosity in a very extended range of temperatures, from the melting point to 100 times the melting temperature. It demonstrates reasonable agreement with the available results from molecular dynamics simulations. Some aspects of the temperature dependence of the shear viscosity and diffusion coefficients on approaching the fluid-solid phase transition are discussed.

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Section: Background Informationmentioning

confidence: 99%

Practical formula for the shear viscosity of Yukawa fluids

Khrapak

2018

AIP Advances

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“…This has recently been shown to work well in 3D Yukawa systems. 77 In the 2D geometry the excess free energy is expressed in this approximation as…”

Section: A Weakly-coupled Fluidsmentioning

confidence: 99%

“…For fluids this choice is also meaningful and we use it here (Note, that in 3D Yukawa system a slightly different definition of the static fluid energy is traditionally employed. 77 The excess internal energy is thus a sum of the static and thermal contributions,…”

Section: B Strongly-coupled Fluidsmentioning

confidence: 99%

Thermodynamics of two-dimensional Yukawa systems across coupling regimes

Kryuchkov

Khrapak

Yurchenko

2017

The Journal of Chemical Physics

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Thermodynamics of two-dimensional Yukawa (screened Coulomb or Debye-Hückel) systems is studied systematically using molecular dynamics (MD) simulations. Simulations cover very broad parameter range spanning from weakly coupled gaseous states to strongly coupled fluid and crystalline states. Important thermodynamic quantities, such as internal energy and pressure, are obtained and accurate physically motivated fits are proposed. This allows us to put forward simple practical expressions to describe thermodynamic properties of two-dimensional Yukawa systems. For crystals, in addition to numerical simulations, the recently developed shortest-graph interpolation method is applied to describe pair correlations and hence thermodynamic properties. It is shown that the finite-temperature effects can be accounted for by using simple correction of peaks in the pair correlation function. The corresponding correction coefficients are evaluated using MD simulation. The relevance of the obtained results in the context of colloidal systems, complex (dusty) plasmas, and ions absorbed to interfaces in electrolytes is pointed out.

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“…Systems of soft interacting particles exhibit certain universal properties and there exist useful approximations, that are particularly suitable for this regime. In particular, the Rosenfeld-Tarrazona (RT) scaling [59,60] of the thermal component of the internal excess energy on approaching the freezing transition allowed previously to construct a very simple practical approach to the thermodynamics of weakly screened Yukawa systems in 3D [61][62][63]. An analog of the RT scaling also exists in the 2D case (although of a quite different functional form) and this has been recently used to construct a simple thermodynamic description of one-component plasmas and weakly screened Yukawa systems in 2D [64][65][66][67] with main applications to complex (dusty) plasmas.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics and dynamics of two-dimensional systems with dipolelike repulsive interactions

2018

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Thermodynamics and dynamics of a classical two-dimensional system with dipolelike isotropic repulsive interactions are studied systematically using extensive molecular dynamics (MD) simulations supplemented by appropriate theoretical approximations. This interaction potential, which decays as an inverse cube of the interparticle distance, belongs to the class of very soft long-ranged interactions. As a result, the investigated system exhibits certain universal properties that are also shared by other related soft-interacting particle systems (like, for instance, the one-component plasma and weakly screened Coulomb systems). These universalities are explored in this article to construct a simple and reliable description of the system thermodynamics. In particular, Helmholtz free energies of the fluid and solid phases are derived, from which the location of the fluid-solid coexistence is determined. The quasicrystalline approximation is applied to the description of collective modes in dipole fluids. Its simplification, previously validated on strongly coupled plasma fluids, is used to derive explicit analytic dispersion relations for the longitudinal and transverse wave modes, which compare satisfactory with those obtained from direct MD simulations in the long-wavelength regime. Sound velocities of the dipole fluids and solids are derived and analyzed.

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Thermodynamics of Yukawa systems and sound velocity in dusty plasmas

Cited by 35 publications

References 76 publications

Practical formula for the shear viscosity of Yukawa fluids

Practical formula for the shear viscosity of Yukawa fluids

Thermodynamics of two-dimensional Yukawa systems across coupling regimes

Thermodynamics and dynamics of two-dimensional systems with dipolelike repulsive interactions

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