Virial expansion information

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...

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

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

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

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...

= − 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...

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...

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

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;...

motion. The equipartition theorem makes quantitative predictions. Like the virial theorem, it gives the total average kinetic and potential energies for a...

usually obtained by calculation from equations of state (EOS), such as the virial equation which take compound-specific empirical constants as input. For...

text{c}}}}-V_{\text{c}}\end{aligned}}} where Vc is critical volume. The Virial equation derives from a perturbative treatment of statistical mechanics...

after the princess who was the wife of Perseus in Greek mythology. The virial mass of the Andromeda Galaxy is of the same order of magnitude as that of...

California Institute of Technology, made a similar inference. Zwicky applied the virial theorem to the Coma Cluster and obtained evidence of unseen mass he called...

negative heat capacity can result in a negative temperature. According to the virial theorem, for a self-gravitating body like a star or an interstellar gas...