Virial Expansion Bounds

@article{Tate2013VirialEB,
  title={Virial Expansion Bounds},
  author={S. Tate},
  journal={Journal of Statistical Physics},
  year={2013},
  volume={153},
  pages={325-338}
}
  • S. Tate
  • Published 2013
  • Mathematics, Physics
  • Journal of Statistical Physics
  • 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 (J. Math. Phys. 5:841, 1964) and Ruelle (Statistical Mechanics: Rigorous Results. Benjamin, Elmsford, 1969). This technique is generalised to more recent cluster expansion bounds by Poghosyan and Ueltschi (J. Math. Phys. 50:053509, 2009), which are related to the work of Procacci (J. Stat. Phys. 129:171, 2007) and the tree-graph identity… CONTINUE READING
    9 Citations

    Figures from this paper

    On the Convergence of the Virial Expansion
    • 1
    Virial Expansion Bounds Through Tree Partition Schemes
    • 6
    • PDF
    Virial inversion and density functionals
    • 9
    • PDF
    A solution to the combinatorial puzzle of Mayer’s virial expansion
    • 4
    • PDF
    Multispecies Virial Expansions
    • 9
    • PDF
    Onsager's missing steps retraced.
    • 3
    • PDF
    On Lennard–Jones Type Potentials and Hard-Core Potentials with an Attractive Tail
    • 11
    • PDF

    References

    SHOWING 1-10 OF 19 REFERENCES
    Convergence of virial expansions
    • 90
    Integral Equations and Inequalities in the Theory of Fluids
    • 35
    Mayer and Virial Series at Low Temperature
    • 17
    • PDF
    The Remainder in Mayer's Fugacity Series
    • 26
    Cluster Expansion in the Canonical Ensemble
    • 27
    • PDF
    New Method in the Theory of Imperfect Gases and Liquids
    • 27
    Lagrange Inversion: When and How
    • 54
    • PDF
    Correlation functions of classical gases
    • 125