Evaluation of the Second Virial Coefficient for the Mie Potential Using the Method of Brackets

Ivan Gonzalez, Igor Kondrashuk, Victor H. Moll, Daniel Salinas · Experimental Mathematics · 2024

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→0 and T→∞.

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