The Viscosity of Liquids in the Dual Model
arXiv:2409.15502 · doi:10.3390/thermo4040028
Abstract
A reliable model of viscosity in liquids using a dual liquid model framework is developed. The analytical expression arrived at exhibits the correct T-dependence Arrhenius-like. It is compared with the values of viscosity for water with acceptable accuracy and those related to the mechano-thermal effect in liquids under low-frequency shear. It has even been shown that a numerical approach of viscosity in liquids dealt with as dual systems provides good agreement with experimental data. The expression of viscosity shows an explicit dependence upon the sound velocity and the collective vibratory degrees of freedom excited at a given temperature. The terms involved depend upon the Boltzmann and Planck constants. Finally, the physical model is coherent with the postulate of microscopic reversibility as well as with the time's arrow for macroscopic dissipative mechanisms.
arXiv commentThe text consists of 29 pages, plus a list of references, 4 Figures and one Table. Keywords: viscosity; liquid theory; phonons; liquid dual models; shear viscosity
References in corpus (31)
- Collective modes and thermodynamics of the liquid state
- The phonon theory of liquid thermodynamics
- Gapped momentum states
- Minimal quantum viscosity from fundamental physical constants
- Transition in the supercritical state of matter: experimental evidence
- The Frenkel Line: a direct experimental evidence for the new thermodynamic boundary
- Universal law for the vibrational density of states of liquids
- Unified phonon-based approach to the thermodynamics of solid, liquid and gas states
- Liquid heat capacity in the approach from the solid state: anharmonic theory
- Excess entropy determines the applicability of Stokes-Einstein relation in simple fluids
- Revealing the Mechanism of the Viscous-to-Elastic Crossover in Liquids
- Explaining the low-frequency shear elasticity of confined liquids
- Evidence for structural crossover in the supercritical state
- Deformations, relaxation and broken symmetries in liquids, solids and glasses: a unified topological field theory
- Understanding the problem of glass transition on the basis of elastic waves in a liquid
- Universal lower bounds on energy and momentum diffusion in liquids
- Thermally triggered phononic gaps in liquids at THz scale
- Elementary vibrational model for transport properties of dense fluids
- Symmetry breaking gives rise to energy spectra of three states of matter
- Modelling of liquid internal energy and heat capacity over a wide pressure-temperature range from first principles
- Minima of shear viscosity and thermal conductivity coefficients of classical fluids
- Vibrational model of thermal conduction for fluids with soft interactions
- General theory of the viscosity of liquids and solids from nonaffine particle motions
- Unexpected thermo-elastic effects in liquid glycerol by mechanical deformation
- Note: Stokes-Einstein relation without hydrodynamic diameter in the TIP4P/Ice water model
- Strain-Induced Violation of Temperature Uniformity in Mesoscale Liquids
- Microscopic dynamics and Bose-Einstein condensation in liquid helium
- How does heat propagate in Liquids?
- Mesoscopic Collective Dynamics in Liquids and the Dual Model
- Thermal Shear Waves induced in Mesoscopic Liquids at Low Frequency Mechanical Deformation
- Thermo-Mechanical and Mdchano-Thermal Effects in Liquids Explained by means of the Dual Model of Liquids