2009/09/17 by Byung Chan Eu, Eu, Byung Chan
Engineering · Physics and Astronomy · #Aerodynamics and Fluid Dynamics Research #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Granular flow and fluidized beds #physics.chem-ph
paper · pdf · doi:10.48550/arxiv.0909.3326
8 pages, no figure
arxiv created 2009/09/17 · openalex publication_date 2009/09/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An exact analytic form for the second virial coefficient, valid for the entire range of temperature, is presented for the Lennard-Jones fluid in this paper. It is derived by making variable transformation that gives rise to the Hamiltonian mimicking a harmonic oscillator-like dynamics for negative energy. It is given in terms of parabolic cylinder functions or confluent hypergeometric functions. Exact limiting laws for the second virial coefficient in the limits of low and high temperatuers are also deduced for the Lennard-Jones fluid.