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The virial expansion is a model of thermodynamic equations of state. It expresses the pressure P of a gas in local equilibrium as a power series of the...

Virial coefficients B i {\displaystyle B_{i}} appear as coefficients in the virial expansion of the pressure of a many-particle system in powers of the...

_{k=2}^{\infty }\,(\rho _{r}/3)^{k}} This is the virial expansion for the van der Waals fluid. The first virial coefficient is the slope of Z ( ρ r , T r )...

In astrophysics, the virial mass is the mass of a gravitationally bound astrophysical system, assuming the virial theorem applies. In the context of galaxy...

In statistical mechanics, the virial theorem provides a general equation that relates the average over time of the total kinetic energy of a stable system...

words, a virial expansion in terms of powers of the numerical gas density is often observable, just as this is widely known for the virial expansion of the...

oscillator equation of state: An integral equation theory based with virial expansion and compressibility terms". Heliyon. 8 (4): e09328. Bibcode:2022Heliy...

Molecular mechanics Morse potential and Morse/Long-range potential Virial expansion Fischer, Johann; Wendland, Martin (2023-10-01). "On the history of...

of the Pitzer equations are linear combinations of parameters, of a virial expansion of the excess Gibbs free energy, which characterise interactions amongst...

potential Partial molar property Thermodynamic equilibrium Thermal expansion Virial expansion Water activity Non-random two-liquid model (NRTL model) – phase...

methods for the computation of the pair correlation function include the virial expansion at low densities, and the Bogoliubov–Born–Green–Kirkwood–Yvon (BBGKY)...

= − v s Π {\displaystyle \Delta \mu _{1}=-v_{s}\Pi } One can use a virial expansion to express how osmotic pressure depends on concentration: Π R T = c...

such as the cluster expansion use perturbation theory to include the effect of weak interactions, leading to a virial expansion. For dense fluids, another...

useful for measuring the equation of state of model systems whose virial expansion for pressure cannot be evaluated, or systems near first-order phase...

small parameter to construct a theory of real (nonideal) gases (see virial expansion). For crystalline solids, the reference state is a perfect crystalline...

such as the van der Waals theory for the equation of state and the virial expansion method for the pressure. In order to account for correlation in the...

Service WTT, a weak-line T Tauri star WTT, Web Thermal Tables used in virial expansion calculations WTT, the ISU World Team Trophy in Figure Skating in figure...

is known as the virial equation, and the components B i ( T ) {\displaystyle B_{i}(T)} are the virial coefficients. Each of the virial coefficients corresponds...

Heat of dilution Ideal solution Lattice energy Solubility equilibrium Virial expansion Volume fraction Elliott, J. Richard; Lira, Carl T. (2012). Introductory...

makes physical sense to write a density expansion of g ( r ) {\displaystyle g(r)} , which resembles the virial equation: This similarity is not accidental;...