Results 171 to 180 of about 2,000 (208)

Exact Virial Expansion for the Quantum Calogero Model

Journal of the Physical Society of Japan, 1998
Exact treatment of the microcanonical ensemble for the quantum Calogero model is presented through the exclusion statistical thermodynamic Bethe ansatz (TBA) method. All the virial coefficients for the model in the thermodynamic limit are rigorously calculated, which are in agreement with the conjectured results.
Hideaki Ujino, Takayuki Tsuchida, Miki Wadati   +2 more
exaly   +2 more sources

Virial expansion for the Tan contact and Beth-Uhlenbeck formula from two-dimensional SO(2,1) anomalies

Physical Review A, 2018
The relationship between two-dimensional SO(2,1) conformal anomalies in nonrelativistic systems and the virial expansion is explored using recently developed path-integral methods.
Joaquin E Drut
exaly   +3 more sources

Virial expansion for a strongly correlated Fermi system and its application to ultracold atomic Fermi gases

Physics Reports, 2013
Strongly correlated Fermi system plays a fundamental role in very different areas of physics, from neutron stars, quark-gluon plasmas, to high temperature superconductors.
Xia-Ji Liu
exaly   +2 more sources

Generalized virial expansions

Molecular Physics, 1989
A new simple derivation of the virial expansions for spatial two-particle correlation functions of molecular fluids is given. There is a separate description of short- and long-range interactions. The correlation functions for the short-range interactions are assumed to be known and therefore act as a reference system.
Miroslav F. Golovko, Hartmut Krienke
openaire   +1 more source

On Virial Expansions of Correlation Functions. Canonical Ensemble

Ukrainian Mathematical Journal, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pogorelov, Yu., Rebenko, A.
openaire   +2 more sources

Convergence of Virial Expansions

Journal of Mathematical Physics, 1964
Some bounds are obtained on ℜ(V), the radius of convergence of the density expansion for the logarithm of the grand partition function of a system of interacting particles in a finite volume V, and on ℜ, the radius of convergence of the corresponding infinite-volume expansion (the virial expansion). A common lower bound on ℜ(V) and ℜ is 0.28952/(u+1)B,
J. L. Lebowitz, O. Penrose
openaire   +1 more source

Convergence of the virial expansion for an associated gas

Theoretical and Experimental Chemistry, 1972
V. K. Filippov, I. M. Balashova
exaly   +2 more sources

Calculation of direct correlation function for hard particles using a virial expansion

Molecular Physics, 2009
We have calculated the direct correlation function, c(1, 2), via a high-order virial expansion, for systems of hard spheres and spheroids, in both the isotropic and nematic phases. For hard spheres, we find that truncation at sixth order in density gives
Matthew Dennison, Andrew J Masters, David L Cheung   +2 more
exaly   +2 more sources

Combined activity‐virial expansions

Contributions to Plasma Physics, 2003
AbstractWe describe a mixed expansion method that combines the best features of the virial and activity expansions. The mixed expansion has the important feature that it can be applied to mixtures of plasma and neutrals that involve both attractive and repulsive interactions. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
F.J. Rogers, H.E. DeWitt
openaire   +1 more source

Modified Virial Expansion and the Equation of State

Russian Journal of Mathematical Physics, 2021
We propose a new method for constructing the virial series, in which the expansion in terms of the density is carried out along the line of the unit compressibility factor. This approach greatly simplifies the form of high-order virial coefficients and allows us, by extrapolation, to sum up the entire virial series and obtain the corresponding equation
E. M. Apfelbaum, V. S. Vorob’ev
openaire   +1 more source