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Virial theorem for two-body Dirac equation

Journal of Mathematical Physics, 1993
The quantum-mechanical virial theorem is applied to the two-body Dirac equation. It can be used as a powerful test for solutions of this equation. A direct application of the theorem is also given.
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Virial equation of state for natural gas systems

Fluid Phase Equilibria, 2003
Abstract We present a new virial equation of state for natural gas systems under ‘custody transfer conditions’, defined at 270≤T ( K )≤330 and P≤12 MPa. This model predicts compression factors of natural gases with at least the same accuracy as the well-known GERG virial equation of state.
J.F. Estela-Uribe   +3 more
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Virial theorem and Abrikosov’s solution of the Ginzburg-Landau equations

Physical Review B, 1991
Using 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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Quantum virial expansion and Landau's transport equation

Zeitschrift f�r Physik, 1964
It is shown that the Boltzmann equation of a dilute gas at temperatures above condensation includingLandau's quantum corrections of the streaming term results in a real equation of state. The quantum virial coefficients are given explicitly up to the fourth. A simple prescription for the higher ones is formulated. In the binary collision approximation,
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Generalized virial theorem for the Klein-Gordon equation

Physics Letters A, 1984
Abstract The virial theorem for the Klein-Gordon equation has been generalized with respect to non-integrable scale-invariant probe functions. Ground-state energies as well as certain upper bounds on the coupling constants have been established. For definiteness several kinds of attractive power potentials have been considered.
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Exponential form of the virial equation of state

High Temperature, 2011
The 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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Solution of Jacobi’s Virial Equation for Conservative Systems

2010
In Chap. 3 we derived Jacobi’s virial equation of dynamical equilibrium in the framework of various physical models which are used for describing the dynamics of natural systems. We showed that, instead of the traditional description of a system in co-ordinates and velocities, the problem of dynamics can be studied from the position of an external ...
V. I. Ferronsky, S. V. Ferronsky
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Adequacy of the virial equation of state and cluster expansion

Physical Review E, 2013
The limits for the accuracy of the virial expansion and the problem of its divergence have been investigated using the exact cluster expansion of the configuration integral. In the subcritical temperature regimes the virial equation of state is applicable up to the singularity point of the isothermal compressibility, i.e., to the possible beginning of ...
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INVESTIGATION OF THE PERTURBED VIRIAL EQUATIONS WITH ARBITRARY TEMPERATURE-DEPENDENT SECOND AND THIRD VIRIAL COEFFICIENTS

International Journal of Modern Physics B, 2011
In this paper, the perturbed virial equations of state with temperature-dependent virial coefficients are constructed using the Carnahan–Starling (CS) hard sphere equation as reference. Considering the second virial coefficient, some critical properties are interaction-independent and the critical packing factor is in the range of that of real fluids.
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce   +2 more
exaly  

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