Gibbs-Bogolyubov inequality and transport properties for strongly coupled Yukawa fluids

Faussurier, G.; Murillo, Michael S.

doi:10.1103/physreve.67.046404

Cited by 75 publications

(83 citation statements)

References 56 publications

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“…It is observed, that the results of λ 0 are within the range of ~7-50% for EMD, 10-16% for NEMD, and ~10-40% for HPMD. Moreover, Figure 3(a) shows, that obtained thermal conductivity at F ext = 0.005 for N = 864 is in good agreement with HPMD simulation of Shahzad and He [1], but it is noted, that our results are slightly greater than EMD of Salin and Caillol [19], NEMD of Donko and Hartmann [20], and VP of Faussurier and Murillo [21] at lower values of Γ. Deviation of the present data from EMD, HPMD, and inhomogeneous that diferences between the simulation data calculated by diferent authors are large at some state points and diferences with their own present data sets are much smaller. Plasma's thermal conductivity is generally overpredicted within ~3-17% (~8-15%), ~5-30% (~5-38%), and ~5-40% (~3-17%) relative to the data of EMD by Salin and Caillol [19], inhomogeneous NEMD by Donko and Hartman [20], and HPMD by Shahzad and He [1], respectively, for N = 500 (864).…”

Section: Normalized Thermal Conductivitysupporting

confidence: 71%

“…HNEMD simulation is used to compute the thermal conductivity normalized by plasma frequency (ω p ) as λ 0 = λ/nk B ω p a ws , or by Einstein frequency (ω E ) as λ * = λ/√3nk B ω E a ws of YDPLs, at the normalized external ield strength. These normalizations of transport properties, including λ 0 , were widely used in earlier studies of one-component complex plasma (OCCP) [18] and NICDPs [1][2][3][19][20][21]. HNEMD method is employed to investigate λ 0 of 3D NICDPs at reduced external force ield F ext = 0.005 over suitable domain of plasma parameters of coupling (1 ≤ Γ ≤ 300) and screening (1 ≤ κ ≤ 4).…”

Section: Normalized Thermal Conductivitymentioning

confidence: 99%

See 1 more Smart Citation

Thermal Conductivity and Non-Newtonian Behavior of Complex Plasma Liquids

Shahzad¹,

He²

2016

Thermoelectrics for Power Generation - A Look at Trends in the Technology

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Understanding of thermophysical properties of complex liquids under various conditions is of practical interest in the ield of science and technology. Thermal conductivity of nonideal complex (dusty) plasmas (NICDPs) is investigated by using homogeneous nonequilibrium molecular dynamics (HNEMD) simulation method. New investigations have shown, for the irst time, that Yukawa dusty plasma liquids (YDPLs) exhibit a non-Newtonian behavior expressed with the increase of plasma conductivity with increasing external force ield strength F ext . The observations for latice correlation functions Ψ (t) show, that our YDPL system remains in strongly coupled regime for a complete range of plasma states of (Γ, κ), where (Γ) Coulomb coupling and (κ) Debye screening length. It is demonstrated, that the present NICDP system follows a simple scaling law of thermal conductivity. It has been shown, that our new simulations extend the range of F ext used in the earlier studies in order to ind out the size of the linear ranges. It has been shown that obtained results at near equilibrium (F ext = 0.005) are in satisfactory agreement with the earlier simulation results and with the presented reference set of data showed deviations within less than ±15% for most of the present data points and generally overpredicted thermal conductivity by 3-22%, depending on (Γ, κ).

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Section: Normalized Thermal Conductivitysupporting

confidence: 71%

Section: Normalized Thermal Conductivitymentioning

confidence: 99%

Thermal Conductivity and Non-Newtonian Behavior of Complex Plasma Liquids

Shahzad¹,

He²

2016

Thermoelectrics for Power Generation - A Look at Trends in the Technology

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“…The total contribution of the specific heats is then C v = 3/2 + C ex v and C p = 5/2 + C ex p . The formulas for the transport coefficient and the excess energy can also be generalised for a screened Yukawa liquid [34,38].…”

Section: P-6mentioning

confidence: 99%

“…C p is the specific heat at constant pressure and C v the specific heat at constant volume. The transport properties of the ionic fluid can be estimated from fits for one component plasmas, i.e., by assuming the ions are immersed in a rigid neutralising background of negative charges [33,34] …”

Section: P-6mentioning

confidence: 99%

A reduced coupled-mode description for the electron-ion energy relaxation in dense matter

Gregori

Gericke

2008

Europhys. Lett.

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Abstract. -We present a simplified model for the electron-ion energy relaxation in dense twotemperature systems that includes the effects of coupled collective modes. It also extends the standard Spitzer result to both degenerate and strongly coupled systems. Starting from the general coupled mode description, we are able to solve analytically for the temperature relaxation time in warm dense matter and strongly coupled plasmas. This was achieve by decoupling the electron-ion dynamics and by representing the ion response in terms of the mode frequencies. The presented reduced model allows for a fast description of temperature equilibration within hydrodynamic simulations and an easy comparison for experimental investigations. For warm dense matter, both fluid and solid, the model gives a slower electron-ion equilibration than predicted by the classical Spitzer result. Published: Europhysics Letters 83, 15002 (2008) Introduction. -The energy equilibration in systems out of local thermodynamic equilibrium is of critical importance for the understanding of the quasi-equation of state, opacity, and optical response of astrophysical and laboratory plasmas. Transport properties such as heat conduction can be also very sensitive to the effectiveness of the energy transfer between electrons and ions. Nevertheless, the energy relaxation is often described by a simple Spitzer-like formula [1,2] or its equivalent for systems with degenerate electrons derived by Brysk [3]. Such treatment neglects many important effects, in particular, collective modes. In denser systems, close collisions and the existence of a short range structure supported by the strong Coulomb forces must be also taken into account.The effect of collective modes on the energy relaxation have been studied with different approaches. However, the magnitude of such effects is still under debate for solids (see, e.g., Refs. [4,5]) as well as for strongly coupled fluids [6][7][8][9][10]. Experimental verification of the relaxation times in dense matter is complicated by the fact that the relevant parameters are difficult to be measured directly. In fact, they are often just inferred from radiation-hydrodynamics simulations. Only a few experimental data points for the temperature relaxation times exist [11][12][13] and they indeed suggest much slower relaxation to

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“…One important challenge in using micro and nanotechnologies is the lack of knowledge regarding their thermal conductivity. A novel homogenous nonequilibrium molecular simulation (HNEMS) approach is to be needed to compute the thermal conductivity of complex (nonideal) systems of much of the thermophysical property research in the fields of science and technology [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Molecular dynamics simulations of thermal conductivity in 2D complex Yukawa liquids

Shahzad

Sultana

Aslam

et al. 2014

IOP Conf. Ser.: Mater. Sci. Eng.

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Abstract. The thermal conductivity in strongly coupled complex dusty plasma liquids (SCCDPLs) has been investigated through an improved homogenous nonequilibrium molecular simulation (HNEMS) method, for the first time. The HNEMS method has been employed for two-dimensional (2D) Yukawa systems in a canonical ensemble. The thermal conductivities with suitable normalizations (plasma and Einstein frequencies), in the value of low force field strength, have been computed for a wide range of plasma state points of Coulomb coupling (Γ) and screening strength (κ). The new simulation results are found to obey the simple analytical temperature scaling law. The present HNEMS results are in generally with parts of earlier HNEMS, equilibrium molecular dynamics (EMD) and experimental data in the literature for the 2D and there-dimensional (3D) SCCDPLs. It is shown that the HNEMS method can be used to estimate the thermal conductivity very effectively and to understand the fundamental behaviours in 2D Yukawa systems.

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Gibbs-Bogolyubov inequality and transport properties for strongly coupled Yukawa fluids

Cited by 75 publications

References 56 publications

Thermal Conductivity and Non-Newtonian Behavior of Complex Plasma Liquids

Thermal Conductivity and Non-Newtonian Behavior of Complex Plasma Liquids

A reduced coupled-mode description for the electron-ion energy relaxation in dense matter

Molecular dynamics simulations of thermal conductivity in 2D complex Yukawa liquids

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