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Evaluation of the second virial coefficient for the Mie potential using the method of brackets

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arxiv 2307.00634 v1 pith:6AY5F3XF submitted 2023-07-02 math-ph math.MP

Ivan Gonzalez , Igor Kondrashuk , Victor H. Moll , Daniel Salinas-Arizmendi This is my paper · ORCID
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abstract

The second virial coefficient for the Mie potential is evaluated using the method of brackets. This method converts a definite integral into a series in the parameters of the problem, in this case this is the temperature $T$. The results obtained here are consistent with some known special cases, such as the Lenard-Jones potential. The asymptotic properties of the second virial coefficient in molecular thermodynamic systems and complex fluid modeling are described in the limiting cases of $T \rightarrow 0$ and $T \rightarrow \infty$.

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