Vibrational model of entropy in dense two-dimensional fluids
arXiv:2606.04533 · doi:10.1103/14db-xhrv
Abstract
A vibrational paradigm of atomic dynamic in dense fluids is known to provide useful insight on the transport and thermodynamic properties of fluids in three dimensions. In this paper, a vibrational model is generalized to describe the excess entropy of two-dimensional (2D) fluids. A simple practical implementation of this model is demonstrated to deliver accurate results for various systems, such as one-component plasmas with Coulomb and logarithmic interactions, a 2D fluid of dipole particles, and a 2D Yukawa fluid. The applicability limits, relevance to three-dimensional fluids, relations to other 2D phenomena, and potential practical applications are briefly discussed.
11 pages, 7 figures
References in corpus (45)
- 2D Melting: From Liquid-Hexatic Coexistence to Continuous Transitions
- "Isomorphs" in liquid state diagrams
- Pressure-energy correlations in liquids. IV. "Isomorphs" in liquid state diagrams
- Collective modes and thermodynamics of the liquid state
- The phonon theory of liquid thermodynamics
- Dynamical correlations and collective excitations of Yukawa liquids
- Heat capacity of liquids: an approach from the solid phase
- Emergence and evolution of -gap in spectra of liquid and supercritical states
- Elastic Behavior of a Two-dimensional Crystal near Melting
- Lindemann melting criterion in two dimensions
- Universal law for the vibrational density of states of liquids
- Unified phonon-based approach to the thermodynamics of solid, liquid and gas states
- Evaluation of phenomenological one-phase criteria for the melting and freezing of softly repulsive particles
- Excess entropy determines the applicability of Stokes-Einstein relation in simple fluids
- Revealing the Mechanism of the Viscous-to-Elastic Crossover in Liquids
- On the long-waves dispersion in Yukawa systems
- Microstructure of a liquid complex (dusty) plasma under shear
- Invariants in the Yukawa system's thermodynamic phase diagram
- Explaining the specific heat of liquids based on instantaneous normal modes
- Onset of transverse (shear) waves in strongly-coupled Yukawa fluids
- Thermodynamics of two-dimensional Yukawa systems across coupling regimes
- Interparticle attraction in 2D complex plasmas
- Thermodynamics and dynamics of two-dimensional systems with dipole-like repulsive interactions
- Experimental Confirmation of the Universal Law for the Vibrational Density of States of Liquids
- Dynamics of two-dimensional dipole systems
- Elementary vibrational model for transport properties of dense fluids
- Internal energy of the classical two- and three-dimensional one-component-plasma
- High-frequency elastic moduli of two-dimensional Yukawa fluids and solids
- Density functional theory of freezing for soft interactions in two dimensions
- Thermodynamics of Yukawa fluids near the one-component-plasma limit
- Vibrational model of thermal conduction for fluids with soft interactions
- Simple dispersion relations for Coulomb and Yukawa fluids
- Practical dispersion relations for strongly coupled plasma fluids
- Thermal conductivity of strongly coupled Yukawa fluids
- Collective modes of two-dimensional classical Coulomb fluids
- Freezing density scaling of fluid transport properties: Application to liquefied noble gases
- Two-body entropy of two-dimensional fluids
- Note: Melting criterion for soft particle systems in two dimensions
- Collective modes in two-dimensional one-component-plasma with logarithmic interaction
- Excess entropy of strongly coupled Yukawa fluids
- Structure and thermodynamics of two dimensional Yukawa liquids
- Elementary vibrational model for thermal conductivity of Lennard-Jones fluids: Applicability domain and accuracy level
- Comment on "Explaining the specific heat of liquids based on instantaneous normal modes"
- Quasi-universal behaviour of shear relaxation times in simple fluids
- Revisiting the phonon theory of liquid heat capacity: low-frequency shear modes and intramolecular vibrations