Testing thermal conductivity models with equilibrium molecular dynamics simulations of the one component plasma

Abstract

Equilibrium molecular dynamics simulations are used to calculate the thermal conductivity of the one component plasma (OCP) via the Green-Kubo formalism over a broad range of Coulomb coupling strength, $0.1\le \Gamma \le 180$. These simulations address previous discrepancies between computations using equilibrium versus nonequilibrium methods. Analysis of heat flux autocorrelation functions show that very long ($6\times 10^5{\omega }_p^{-1}$) time series are needed to reduce the noise level to allow $\lesssim 2\%$ accuracy. The new simulations provide the first accurate data for $\Gamma \lesssim 1$. This enables a test of the traditional Landau-Spitzer theory, which is found to agree with the simulations for $\Gamma \lesssim 0.3$. It also enables tests of theories to address moderate and strong Coulomb coupling. Two are found to provide accurate extensions to the moderate coupling regime of $\Gamma \lesssim 10$, but none are accurate in the $\Gamma \gtrsim 10$ regime where potential energy transport and coupling between mass flow and stress dominate thermal conduction.

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• Excess entropy of strongly coupled Yukawa fluids
• One--Component Plasma of a Million Particles via angular--averaged Ewald potential: A Monte Carlo study
• Transferable Interatomic Potentials for Aluminum from Ambient Conditions to Warm Dense Matter
• Viscosity of the magnetized strongly coupled one-component plasma
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• Vibrational model of heat transfer in strongly coupled Yukawa fluids (dusty plasma liquids)
• Intrinsic bulk viscosity of the one-component plasma
• Modified Bridgman formula for the thermal conductivity of complex (dusty) plasma fluids
• Comparative Analysis of Molecular Dynamics and Method of Moments in Two-Dimensional Concentric Circular Layers