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In the 1960s, the technique of using cluster expansion bounds in order to achieve bounds on the virial expansion was developed by Lebowitz and Penrose (1964) and Ruelle (1969). This technique is generalised to more recent cluster expansion bounds by Poghosyan and Ueltschi (2009), which are related to the work of Procacci (2007) and the tree-graph ...
Tate, Stephen James
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Virial Expansion for a Strongly Correlated Fermi Gas [PDF]
Using a high temperature virial expansion, we present a controllable study of the thermodynamics of strongly correlated Fermi gases near the BEC-BCS crossover region. We propose a practical way to determine the expansion coefficients for both harmonically trapped and homogeneous cases, and calculate the third order coefficient b3(T) at finite ...
Liu, Xiaji, Hu, Hui, Drummond, Peter
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The virial expansion of a classical interacting system [PDF]
We consider N particles interacting pair-wise by an inverse square potential in one dimension (Calogero-Sutherland-Moser model). When trapped harmonically, its classical canonical partition function for the repulsive regime is known in the literature. We start by presenting a concise re-derivation of this result.
Bhaduri, RK, Murthy, MVN, Sen, Diptiman
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Virial expansion for charged colloids and electrolytes [PDF]
15 ...
Moreira, A., Netz, R.
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On the Convergence of the Virial Expansion
The virial expansion appears in statistical mechanics, an area where physics andmathematics intersect. Throughout this thesis we will mostly ignore the physicsand mainly focus on the mathematical aspects. This is a deliberate choice, madefor two reasons.
Ramawadh, S.D. +2 more
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Revisiting Groeneveld’s approach to the virial expansion [PDF]
A generalized version of Groeneveld’s convergence criterion for the virial expansion and generating functionals for weighted two-connected graphs is proven. This criterion works for inhomogeneous systems and yields bounds for the density expansions of the correlation functions ρs (a.k.a.
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In the current study, liquid-liquid equilibrium data of aqueous two-phase systems (ATPS) containing polyethylene glycol at the different molecular weights (1000, 2000, 6000, and 8000) - sodium L-tartrate dihydrate - water at 298.15 K were obtained ...
Hamid Bakhshi +2 more
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On storm weakening during substorm expansion phase [PDF]
Iyemori and Rao recently presented evidence that the strength of a magnetic storm, as measured by -Dst, weakens, or its rate of growth slows, during the substorm expansion phase.
G. L. Siscoe, H. E. Petschek
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Fourth- and fifth-order virial expansion of harmonically trapped fermions at unitarity
By generalizing our automated algebra approach from homogeneous space to harmonically trapped systems, we have calculated the fourth- and fifth-order virial coefficients of universal spin-1/2 fermions in the unitary limit, confined in an isotropic ...
Y. Hou +3 more
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VIRIAL EXPANSION OF THE NUCLEAR EQUATION OF STATE [PDF]
We study the equation of state (EOS) of nuclear matter as function of density. We expand the energy per particle (E/A) of symmetric infinite nuclear matter in powers of the density to take into account 2, 3, …, N-body forces. New EOS are proposed by fitting ground state properties of nuclear matter (binding energy, compressibility and pressure) and ...
Magana, Ruslan +2 more
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