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Analogies between the virial theorem and the Price equation
Physical Review EWe observe that the time-averaged continuous Price equation is identical to the positive momentum virial theorem, and we discuss the applications and implications of this connection. We also introduce ecological models using a maternal effect, which can describe arbitrary population size cycles and trait evolution across spatially separated populations.
Catherine Felce +2 more
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Plasma Virial and Equations of State for a Plasma
The Physics of Fluids, 1968The virial theorem for a plasma is formulated within a particle framework. The result is applicable to isotropic, anisotropic, and quasirelativistic systems. The form reveals the negative quality of the time derivative of the virial in addition to the structure of the particle-particle inductance tensor.
Richard L. Liboff, Tae-Journ Lie
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Exponential form of the virial equation of state
High Temperature, 2011The obtained equation of state of gases is a compressed form of the virial equation of state expressed by means of exponential functions of virial coefficients. The possibilities of applying the equation in a wide range of pressure and temperature are shown.
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From the virial to the cubic equation of state
Fluid Phase Equilibria, 1990Abstract Second virial coefficients are used extensively in low-pressure vapor—liquid equilibrium calculations to predict the vapor-phase fugacity coefficient. Tsonopoulos's 1974 B (second virial coefficient) correlation is reviewed, with particular emphasis on the dependence of the polar parameter a on the reduced dipole moment.
C. Tsonopoulos, J.L. Heidman
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Generalised virial equation of state for natural gas systems
Fluid Phase Equilibria, 2005J. Estela-Uribe, J. Jaramillo
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Summation of the virial expansion for the equation of state
Journal of Physics A: General Physics, 1972A new method is presented for summation of the virial equation of state up to infinity. The method is based on Holleran's unit compressibility law and leads to a new expression for the equation of state, which has promise for the prediction of the first order phase transition.
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Virial theorem and Abrikosov’s solution of the Ginzburg-Landau equations
Physical Review B, 1991Using the virial theorem discovered recently by Doria, Gubernatis, and Rainer (Phys. Rev. B 39, 9573 (1989)), we rederive Abrikosov's solution of the Ginzburg-Landau equations near {ital H}{sub {ital c}2} in a very simple way. We stress the importance of the virial theorem for an intuitive understanding of the vortex state and report a generalized ...
, Klein, , Pöttinger
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Thermodynamic Properties of Supercritical CO2/CH4 Mixtures from the Virial Equation of State
, 2016Shu Yang, A. Schultz, D. Kofke
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Optimal truncation of the virial equation
AIChE Journal, 1975William M. Righter, Kenneth R. Hall
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