Vibrational model of thermal conduction for fluids with soft interactions
arXiv:2101.04462 · doi:10.1103/PhysRevE.103.013207
Abstract
A vibrational model of heat transfer in simple liquids with soft pairwise interatomic interactions is discussed. A general expression is derived, which involves an averaging over the liquid collective mode excitation spectrum. The model is applied to quantify heat transfer in a dense Lennard-Jones liquid and a strongly coupled one-component plasma. Remarkable agreement with the available numerical results is documented. A similar picture does not apply to the momentum transfer and shear viscosity of liquids.
arXiv comment8 pages, 5 figures
References in corpus (21)
- Collective modes and thermodynamics of the liquid state
- Transport Coefficients of the Yukawa One Component Plasma
- Accurate Determination of the Shear Viscosity of the One-Component Plasma
- Fluid approach to evaluate sound velocity in Yukawa systems (complex plasmas)
- Viscosity and mutual diffusion in strongly asymmetric binary ionic mixtures
- Revealing the Mechanism of the Viscous-to-Elastic Crossover in Liquids
- On the long-waves dispersion in Yukawa systems
- Collective modes in simple melts: Transition from soft spheres to the hard sphere limit
- Onset of transverse (shear) waves in strongly-coupled Yukawa fluids
- Ion sphere model for Yukawa systems (dusty plasmas)
- Practical formula for the shear viscosity of Yukawa fluids
- Testing thermal conductivity models with equilibrium molecular dynamics simulations of the one component plasma
- Internal energy of the classical two- and three-dimensional one-component-plasma
- Researh Note: Stokes-Einstein relation in simple fluids revisited
- Effective Coulomb Logarithm for One Component Plasma
- Thermodynamics of Yukawa fluids near the one-component-plasma limit
- Simple dispersion relations for Coulomb and Yukawa fluids
- Sound velocities of Lennard-Jones systems near the liquid-solid phase transition
- Onset of negative dispersion in one-component-plasma revisited
- Note: Sound velocity of a soft sphere model near the fluid-solid phase transition
- Elastic properties of dense hard-sphere fluids
Cited by in corpus (15)
- Excess entropy determines the applicability of Stokes-Einstein relation in simple fluids
- Elementary vibrational model for transport properties of dense fluids
- Transport properties of Lennard-Jones fluids: Freezing density scaling along isotherms
- Minima of shear viscosity and thermal conductivity coefficients of classical fluids
- Thermal conductivity of strongly coupled Yukawa fluids
- Freezing density scaling of fluid transport properties: Application to liquefied noble gases
- Bridgman formula for the thermal conductivity of atomic and molecular liquids
- Excess entropy of strongly coupled Yukawa fluids
- Thermal conduction in two-dimensional complex plasma layers
- Vibrational model of heat transfer in strongly coupled Yukawa fluids (dusty plasma liquids)
- Elementary vibrational model for thermal conductivity of Lennard-Jones fluids: Applicability domain and accuracy level
- Generalized Rosenfeld-Tarazona scaling and high-density specific heat of simple liquids
- The Viscosity of Liquids in the Dual Model
- Vibrational model of entropy in dense two-dimensional fluids
- Variational approach to Yukawa fluids. II. Instantaneous elastic moduli and sound velocities