Numerical simulations of thermal conductivity in dissipative two-dimensional Yukawa systems

Abstract

Numerical data on the heat transfer constants in two-dimensional Yukawa systems were obtained. Numerical study of the thermal conductivity and diffusivity was carried out for the equilibrium systems with parameters close to conditions of laboratory experiments with dusty plasma. For calculations of heat transfer constants the Green-Kubo formulas were used. The influence of dissipation (friction) on the heat transfer processes in nonideal systems was investigated. The approximation of the coefficient of thermal conductivity is proposed. Comparison of the obtained results to the existing experimental and numerical data is discussed.

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

“…A different sequence of the thermal conductivity corresponding to a higher and lower sequence of applied external field strength is calculated to determine the linear regime of the HNEMD Yukawa system. The HNEMS data from at a reduced force field strength of (F * = 0.2) have a usually good agreement with the previous equilibrium molecular dynamics (EMD) investigations in 2D dissipative Yukawa systems by Khrustalyov and Vaulina [1], nonequilibrium EMD (NEMD) simulations of Hou and Piel [11], and experimental results of Nosenko et al [3], Nunomura et al [4], and Fortov et al [6]. A simple analytical temperature representation of Yukawa thermal conductivity with normalized Einstein frequency (ωE) has also been performed.…”

“…Moreover, we have been compared our simulation results with the earlier 2D NEMD results of Hou and Piel [11], and experimental data of Nosenko et al [3], Nunomura et al [4], and Fortov et al [6], nearly at the same plasma state points. The present thermal conductivity obtained from HNEMD simulations is slightly higher than those previously 3D numerical simulation results [2,5,9,10] and lie close to the earlier 2D simulation results obtained from different simulation methods [1,11]. The minimum values of frequency decreases with increasing of κ.…”

“…The Figs. 1-3 display the present results as well as compared the previous results obtained from the earlier three-dimensional (3D) HNEMD simulations of Shahzad and He [2,5], Green-Kubo EMD of Salin and Caillol [9], and theoretical predictions of Faussurier and Murillo [10], and in addition the calculations taken from 2D means of Green-Kubo EMD of dissipative Yukawa systems of Khrustalyov and Vaulina [1]. Moreover, we have been compared our simulation results with the earlier 2D NEMD results of Hou and Piel [11], and experimental data of Nosenko et al [3], Nunomura et al [4], and Fortov et al [6], nearly at the same plasma state points.…”

“…A simple analytical temperature representation of Yukawa thermal conductivity with normalized Einstein frequency (ωE) has also been performed. The present calculations with appropriate normalizations show that the position of minimum of 2D thermal conductivity lies at higher Γ with increasing κ same as in 2D Yukawa systems [1,11], and earlier experimental data [3,4,6].…”

“…[1]. In practical applications, including those intended at developing novel thermal interface materials, micro and nano-level heat transport processes, and nano-particulate systems have been proposed to improve the efficient behaviour of the systems.…”