Supplemental Material for ”The Uhlenbeck-Ford

Supplemental Material for ”The Uhlenbeck-Ford model: Exact virial
coefficients and application as a reference system in fluid-phase
free-energy calculations”
Rodolfo Paula Leite,1 Rodrigo Freitas,2 Rodolfo Azevedo,3 and Maurice de Koning1
1
Instituto de Física "Gleb Wataghin", Universidade Estadual de Campinas,
UNICAMP, 13083-859, Campinas, São Paulo, Brazil
2
Department of Materials Science and Engineering,
University of California, Berkeley, CA 94720, U.S.A.
3
Instituto de Computação, Universidade Estadual de Campinas,
UNICAMP, 13083-852, Campinas, São Paulo, Brazil
Abstract
In this document we describe the usage of the accompanying python script to compute equations os
state and excess free energies of the Uhlenbeck-Ford (UF) and scaled Uhlenbeck-Ford (sUF) models.
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The python script ufGenerator.py contains a set of cubic-spline representations of the
equations of state and associated excess Helmholtz free energies for the Uhlenbeck-Ford (UF)
and scaled Uhlenbeck-Ford (sUF) models.
Usage: "./ufGenerator.py p x", where p stands for the integer scaling parameter p, and x is
the adimensional variable x defined in the main text. Implemented values for p are: 1, 25,
50, 75, and 100 and the range of allowed x-values is x ∈ [0.0, 4.0].
The standard output for the pressure and per-particle excess Helmholtz free energy is, reexc(p)
spectively, β bP and β FUF
/N .
Required python package: math
2