An analytic model of the Gruneisen parameter at all densities
arXiv:cond-mat/0206160 · doi:10.1016/j.jpcs.2003.10.076
Abstract
We model the density dependence of the Gruneisen parameter as gamma(rho) = 1/2 + gamma_1/rho^{1/3} + gamma_2/rho^{q}, where gamma_1, gamma_2, and q>1 are constants. This form is based on the assumption that gamma is an analytic function of V^{1/3}, and was designed to accurately represent the experimentally determined low-pressure behavior of gamma. The numerical values of the constants are obtained for 20 elemental solids. Using the Lindemann criterion with our model for gamma, we calculate the melting curves for Al, Ar, Ni, Pd, and Pt and compare them to available experimental melt data. We also determine the Z (atomic number) dependence of gamma_1. The high-compression limit of the model is shown to follow from a generalization of the Slater, Dugdale-MacDonald, and Vashchenko-Zubarev forms for the dependence of the Gruneisen parameter.
14 Pages, LaTeX, 5 eps figues; changes in the text
Cited by in corpus (12)
- Tracking ultrafast hot-electron diffusion in space and time by ultrafast thermo-modulation microscopy
- Thermodynamics of condensed matter with strong pressure-energy correlations
- Silicate Melting and Vaporization during Rocky Planet Formation
- Analytic model of the remobilization of pinned glide dislocations: including dislocation drag from phonon wind
- Re-entrant melting of sodium, magnesium, and aluminum: General trend
- Dislocation drag and its influence on elastic precursor decay
- Thermoelastic Equation of State of Boron Suboxide B6O up to 6 GPa and 2700 K: Simplified Anderson-Grüneisen Model and Thermodynamic Consistency
- On the temperature and density dependence of dislocation drag from phonon wind
- Equation of state in the generalized density scaling regime studied from ambient to ultra-high pressure conditions
- Equation of state and strength of diamond in high pressure ramp loading
- Estimating melting curves for Cu and Al from simulations at a single state point
- Finite-temperature bulk moduli from an EOS-based Grüneisen function