Practical thermodynamics of Yukawa systems at strong coupling

Khrapak, S. A.; Kryuchkov, Nikita P.; Yurchenko, Stanislav O.; Thomas, Hubertus M.

doi:10.1063/1.4921223

Cited by 49 publications

(53 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Previously, the approach based on the RT scaling arguments was applied to three-dimensional Yukawa fluids and very good accuracy was documented [7,8]. In this paper we have shown that there is still room for some slight improvements in the regime of weak screening.…”

Section: Discussionmentioning

confidence: 67%

“…More recently, it has been also pointed out that for Yukawa fluids sufficiently close to freezing an even simpler scaling, u th ≃ 3.1(Γ/Γ m ) 2/5 , is more appropriate [8].…”

Section: Yukawa Fluids In Three Dimensionsmentioning

confidence: 99%

“…The accurate results from Monte Carlo (MC) and molecular dynamics (MD) numerical simulations for some thermodynamic functions (in particular, for internal energy and compressibility) have been tabulated for a wide (but discrete) range of state variables Γ and κ [1][2][3][4][5][6]. Recently, simple and accurate expressions to evaluate thermodynamic properties of three-dimensional (3D) Yukawa fluids [7] and solids [8] have been proposed, which are very convenient for practical applications. These expressions are based on the Rosenfeld-Tarazona (RT) scaling [9] of the excess internal energy in the fluid state (and harmonic approximation in the solid state) and deliver impressively high accuracy in a wide range of the phase diagram of 3D Yukawa systems.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Thermodynamics of Yukawa fluids near the one-component-plasma limit

et al. 2015

Self Cite

View full text Add to dashboard Cite

Thermodynamics of weakly screened (near the one-component-plasma limit) Yukawa fluids in two and three dimensions is analyzed in detail. It is shown that the thermal component of the excess internal energy of these fluids, when expressed in terms of the properly normalized coupling strength, exhibits the scaling pertinent to the corresponding one-component-plasma limit (the scalings differ considerably between the two-and three-dimensional situations). This provides us with a simple and accurate practical tool to estimate thermodynamic properties of weakly screened Yukawa fluids. Particular attention is paid to the two-dimensional fluids, for which several important thermodynamic quantities are calculated to illustrate the application of the approach.

show abstract

Section: Discussionmentioning

confidence: 67%

“…More recently, it has been also pointed out that for Yukawa fluids sufficiently close to freezing an even simpler scaling, u th ≃ 3.1(Γ/Γ m ) 2/5 , is more appropriate [8].…”

Section: Yukawa Fluids In Three Dimensionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Thermodynamics of Yukawa fluids near the one-component-plasma limit

et al. 2015

Self Cite

View full text Add to dashboard Cite

show abstract

“…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

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…This relation is the consequence of the identity r r w p = is the plasma frequency and u ex is the ecxess energy per particle in units of temperature. Very accurate analytical expressions for the quantity u , ex k G ( )are available in the literature [26][27][28][29]. Particularly simple practical expressions are based on the Rosenfeld-Tarazona scaling [30,31], which states that for a wide class of soft repulsive potentials the thermal component of the internal energy exhibits a quasi-universal scaling on approaching the fluid-solid phase transition.…”

Section: Formulationmentioning

confidence: 99%

Self-diffusion in single-component Yukawa fluids

2018

View full text Add to dashboard Cite

It was suggested in the literature that the self-diffusion coefficient of simple fluids can be approximated as a ratio of the squared thermal velocity of the atoms to the 'fluid Einstein frequency,' which can thus serve as a rough estimate of the friction (momentum transfer) rate in the dense fluid phase. In this article we test this suggestion using a single-component Yukawa fluid as a reference system. The available simulation data on self-diffusion in Yukawa fluids, complemented with new data for Yukawa melts (Yukawa fluids near the freezing phase transition), are carefully analyzed. It is shown that although not exact, this earlier suggestion nevertheless provides a very sensible way of normalization of the self-diffusion constant. Additionally, we demonstrate that certain quantitative properties of self-diffusion in Yukawa melts are also shared by systems like one-component plasma and liquid metals at freezing, providing support to an emerging dynamical freezing indicator for simple soft matter systems. The obtained results are also briefly discussed in the context of the theory of momentum transfer in complex (dusty) plasmas.

show abstract

Practical thermodynamics of Yukawa systems at strong coupling

Cited by 49 publications

References 51 publications

Thermodynamics of Yukawa fluids near the one-component-plasma limit

Thermodynamics of Yukawa fluids near the one-component-plasma limit

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

Self-diffusion in single-component Yukawa fluids

Contact Info

Product

Resources

About