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Physical Review, 1963
The usual quantum mechanical cluster expansion in the theory of imperfect gases involves the trace of operators of the form $\mathrm{exp}(\ensuremath{-}\frac{{H}_{n}}{\mathrm{kT}})$, where ${H}_{n}$ is the $n$-body Hamiltonian. It is shown here that this expansion is identical with the recently derived cluster expansion in terms of the collision ...
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The usual quantum mechanical cluster expansion in the theory of imperfect gases involves the trace of operators of the form $\mathrm{exp}(\ensuremath{-}\frac{{H}_{n}}{\mathrm{kT}})$, where ${H}_{n}$ is the $n$-body Hamiltonian. It is shown here that this expansion is identical with the recently derived cluster expansion in terms of the collision ...
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Virial expansions in an inhomogeneous system
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1985Abstract The grand potential, the density and the molecular distribution functions are obtained in the form of virial expansions for systems of arbitrary size and inhomogeneity by using an external field to replace the conventional fixed geometric boundaries of a system.
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A New Derivation of the Virial Expansion
American Journal of Physics, 1972To overcome the mathematical complexity on the one hand or the lack of rigor on the other in usual treatments of the virial expansion, a new derivation is presented. This derivation, while simple and mathematically valid, clearly illustrates the most important features of the cluster expansion derivation of the second and third virial coefficients ...
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The virial expansion in two dimensions
Molecular Physics, 1964(1964). The virial expansion in two dimensions. Molecular Physics: Vol. 7, No. 6, pp. 593-594.
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VIRIAL EXPANSION FOR AN ε-DEFORMED SYSTEM
Modern Physics Letters B, 1995We compute the virial expansion of an ideal quantum q gas equation of state for small values of the deformation parameter.
MARCO A. R-MONTEIRO +2 more
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Adequacy of the virial equation of state and cluster expansion
Physical Review E, 2013The 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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A new graph expansion of virial coefficients
Journal of Statistical Physics, 1982It is well known that the virial coefficients of the pressure of thermodynamic systems can be represented in terms of graphs. The existing graph expansions are compared with a new one, the overlap graph expansion. The merits of overlap graphs in general and especially for hard disks and spheres are discussed.
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Viscosity of the QGP from a virial expansion
Physics of Atomic Nuclei, 2012In this work we calculate the shear viscosity η in the quark-gluon plasma within a virial expansion approach with particular interest in the ratio of η to the entropy density s, i.e. η/s. We derive a realistic equation of state using a virial expansion approach which allows us to include the interactions between the partons in the deconfined phase ...
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Analytic continuation of mayer and virial expansions
Theoretical and Mathematical Physics, 1992Functions that under certain assumptions are analytic continuations of Mayer expansions are found. It is shown that there exists a positive numberρ1 satisfying the following conditions: 1) for any interval of the form [0,ρ1(1−e)], where ...
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Virial Expansion for Mixtures of Rigid Spheres
The Journal of Chemical Physics, 1956The equation of state for a binary mixture of rigid spheres of arbitrary size ratio is developed up to the fourth virial coefficient. The superposition approximation is employed and thus the fourth virial coefficient is inexact; however, the second and third are evaluated precisely.
A. G. McLellan, B. J. Alder
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