Vibrational model of thermal conduction for fluids with soft interactions

Khrapak, S. A.

doi:10.1103/physreve.103.013207

Cited by 26 publications

(22 citation statements)

References 72 publications

(91 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, a vibrational model of heat transfer in simple threedimensional (3D) liquids with soft interparticle interactions has been discussed. 1 This model has been applied to quantify heat transfer in a strongly coupled one-component plasma (OCP) and Lennard-Jones fluids, and remarkable agreement with available numerical results has been reported. If there is some truth in this simple model, it can be very straightforwardly generalized to two-dimensional 2D systems.…”

mentioning

confidence: 70%

Thermal conduction in two-dimensional complex plasma layers

Khrapak

2021

Physics of Plasmas

Self Cite

View full text Add to dashboard Cite

A simple vibrational model of heat transfer in two-dimensional (2D) fluids relates the heat conductivity coefficient to the longitudinal and transverse sound velocities, specific heat, and mean interatomic separation. This model is demonstrated not to contradict the available experimental and numerical data on heat transfer in 2D complex plasma layers. Additionally, the heat conductivity coefficient of a 2D onecomponent plasma with a logarithmic interaction is evaluated.

show abstract

mentioning

confidence: 70%

Thermal conduction in two-dimensional complex plasma layers

Khrapak

2021

Physics of Plasmas

Self Cite

View full text Add to dashboard Cite

show abstract

“…According to a vibrational model of thermal conductivity in dense fluids [17][18][19][20] the thermal conductivity coefficient can be estimated from…”

Section: Theoretical Minima Of Viscosity and Thermal Conductivitymentioning

confidence: 99%

Minima of shear viscosity and thermal conductivity coefficients of classical fluids

Khrapak,

Khrapak

2022

Preprint

View full text Add to dashboard Cite

The shear viscosity and thermal conductivity coefficients of various liquids exhibit minima along certain trajectories on the phase diagram. These minima arise due to the crossover between the momentum and energy transport mechanisms in gas-like and liquid-like regimes. We demonstrate that the magnitudes of the minima are quasi-universal in appropriately reduced units, especially for the viscosity coefficients. Results presented in support of this observation concern the transport properties of three simple model systems with different pairwise interaction potentials (hard spheres, Lennard-Jones, and Coulomb) as well as seven important real atomic and molecular liquids (Ne, Ar, Kr, Xe, CH4, CO2, and N2). The minima in viscosity and thermal conductivity represent useful reference points for fluid transport properties.

show abstract

“…Transport properties of the OCP and related system are very well investigated in classical MD simulations. Extensive data on the self-diffusion [75][76][77][78] and shear viscosity [79][80][81][82][83] have been published and discussed in the literature. Here we have used an accurate fitting formula for the self-diffusion coefficient proposed in Ref.…”

Section: B One-component Plasmamentioning

confidence: 99%

Excess entropy determines the applicability of Stokes-Einstein relation in simple fluids

Khrapak,

Khrapak

2021

Preprint

View full text Add to dashboard Cite

The Stokes-Einstein (SE) relation between the self-diffusion and shear viscosity coefficients operates in sufficiently dense liquids not too far from the liquid-solid phase transition. By considering four simple model systems with very different pairwise interaction potentials (Lennard-Jones, Coulomb, Debye-Hückel or screened Coulomb, and the hard sphere limit) we identify where exactly on the respective phase diagrams the SE relation holds. It appears that the reduced excess entropy sex can be used as a suitable indicator of the validity of the SE relation. In all cases considered the onset of SE relation validity occurs at approximately sex −2. In addition, we demonstrate that the line separating gas-like and liquid-like fluid behaviours on the phase diagram is roughly characterized by sex −1.

show abstract

Vibrational model of thermal conduction for fluids with soft interactions

Cited by 26 publications

References 72 publications

Thermal conduction in two-dimensional complex plasma layers

Thermal conduction in two-dimensional complex plasma layers

Minima of shear viscosity and thermal conductivity coefficients of classical fluids

Excess entropy determines the applicability of Stokes-Einstein relation in simple fluids

Contact Info

Product

Resources

About