Equations of state
Equations of state are generally expressions that relate the macroscopic observables pressure, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle p} , volume, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle V} , and temperature, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle T} .
General
- Common bulk modulus point
- Law of corresponding states
- Linear isothermal regularity
- Maxwell's equal area construction
- Tait-Murnaghan relation
- Zeno line
Virial equations of state
Empirical equations of state
- Amagat
- Antoine
- Battelli
- Beattie-Bridgeman
- Benedict, Webb and Rubin
- Berthelot
- Boltzmann
- Boynton and Bramley
- Brillouin
- Clausius
- Dieterici
- Dupré
- Elliott, Suresh, and Donohue
- Fouché
- Goebel
- Hirn
- Ideal gas
- Jäger
- Kam
- Lagrange
- Leduc
- Linear isothermal regularity
- Lorenz
- Mie
- Murnaghan
- Natanson
- Onnes
- Peczalski
- Peng and Robinson
- Planck
- Porter
- Rankine
- Recknagel
- Redlich-Kwong
- Reinganum
- Sarrau
- Schiller
- Schrieber
- Smoluchowski
- Starkweather
- Tait
- Thiesen
- Tumlirz
- van der Waals
- Walter
- Wohl
- Water equation of state
Other methods
Model systems
Equations of state for idealised models:
- Three-dimensional hard dumbbells
- Hard convex bodies
- Hard rods
- Gaussian overlap model
- Square shoulder model
- Square well model
- Triangular well model
- Equations of state for hard spheres
- Equations of state for crystals of hard spheres
- Equations of state for hard sphere mixtures
- Equations of state for hard disks
- Hard ellipsoid equation of state
- Lennard-Jones equation of state
- Fused hard sphere chains
- Tetrahedral hard sphere model
Interesting reading
- James A. Beattie and Walter H. Stockmayer "Equations of state", Reports on Progress in Physics 7 pp. 195-229 (1940)
- K. K. Shah and G. Thodos "A Comparison of Equations of State", Industrial & Engineering Chemistry 57 pp. 30-37 (1965)
- J. S. Rowlinson "The equation of state of dense systems", Reports on Progress in Physics 28 pp. 169-199 (1965)
Books
- "Equations of State for Fluids and Fluid Mixtures", Eds. J. V. Sengers, R. F. Kayser, C. J. Peters, and H. J. White Jr., Elsevier (2000) ISBN 0-444-50384-6