Variational approach to Yukawa fluids. II. Instantaneous elastic moduli and sound velocities
arXiv:2607.25923 · doi:10.1103/gt7y-s7wk
Abstract
The variational approach based on the Bogoliubov inequality using the fluid of hard spheres as a reference system is implemented to evaluate instantaneous shear, bulk and longitudinal elastic moduli, as well as related sound velocities of Yukawa fluids. The remarkable accuracy of this method is documented. In addition, we evaluate the adiabatic sound velocity from an appropriate equation of state and discuss its relation to the longitudinal and bulk sound velocities obtained from the corresponding instantaneous elastic moduli. The transition between weakly coupled and strongly coupled regimes is analyzed in detail.
10 pages, 2 figures
References in corpus (27)
- Dynamical correlations and collective excitations of Yukawa liquids
- Fluid approach to evaluate sound velocity in Yukawa systems (complex plasmas)
- Practical expressions for the internal energy and pressure of Yukawa fluids
- Excess entropy determines the applicability of Stokes-Einstein relation in simple fluids
- Collective modes in simple melts: Transition from soft spheres to the hard sphere limit
- Revealing the supercritical dynamics of dusty plasmas and their liquid-like to gas-like dynamical crossover
- Elementary vibrational model for transport properties of dense fluids
- Vibrational model of thermal conduction for fluids with soft interactions
- Practical dispersion relations for strongly coupled plasma fluids
- Thermal conductivity of strongly coupled Yukawa fluids
- Unified description of sound velocities in strongly coupled Yukawa systems of different spatial dimensionality
- Sound velocities of Lennard-Jones systems near the liquid-solid phase transition
- Fingerprints of different interaction mechanisms on the collective modes in complex (dusty) plasmas
- Dispersion relations of Yukawa fluids at weak and moderate coupling
- Ion drift instability in a strongly coupled collisional complex plasma
- Excess entropy of strongly coupled Yukawa fluids
- Instantaneous shear modulus of Yukawa fluids across coupling regimes
- When do soft spheres become hard spheres?
- Spatial distribution of Dust Density Wave Properties in Fluid Complex Plasmas
- Description of longitudinal modes in moderately coupled Yukawa systems with the static local field correction
- Elementary vibrational model for thermal conductivity of Lennard-Jones fluids: Applicability domain and accuracy level
- Calculation of Thermodynamic Characteristics and Sound Velocity for Two-Dimensional Yukawa Fluids Based on a Two-Step Approximation for the Radial Distribution Function
- Quasi-universal behaviour of shear relaxation times in simple fluids
- Note: Sound velocities of generalized Lennard-Jones () fluids near freezing
- Speed of sound in dense simple liquids
- Excess entropy scaling of the transverse sound speed in simple fluids
- Variational approach to Yukawa fluids. I. Thermodynamics