Pair Distribution Function of a Square-Well Fluid

2009/09/16 by Sanghamitra Neogi, Neogi, Sanghamitra, Gerald D. Mahan +1
Physics and Astronomy · #FOS: Physical sciences #Other Condensed Matter (cond-mat.other) #Quantum Gases (cond-mat.quant-gas) #cond-mat.other #cond-mat.quant-gas

paper · pdf · doi:10.48550/arxiv.0909.3078

13 pages, 2 figures

arxiv created 2009/09/16 · arxiv updated 2009/12/01

Abstract

The properties of the ground state of liquid ⁴He are studied using a correlated basis function of the form ∏_i<j ψ(r_ij). Here, ψ(r) is chosen as the exact solution of the Schrödinger equation for two ⁴He atoms. A hard-sphere plus an attractive square well is used as the interaction potential between ⁴He atoms. The pair distribution function is calculated using approximate integral methods, namely the Percus-Yevick (PY) equation and Hypernetted Chain (HNC) approximation. The values thus obtained are used to calculate the ground state energy, which is found to be -4.886 K using the PY equation. The liquid structure factor is also obtained using the pair distribution function. The values for the pair distribution function and liquid structure factor are compared with experimental results and earlier theoretical calculations.

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