SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 6: Statistical Physics: General I

DY 6.4: Vortrag

Montag, 27. März 2023, 10:45–11:00, ZEU 160

Virial coefficients of hard, anisotropic particles in two- to four-dimensional Euclidean spaces — •Markus Kulossa, Daniel Weidig, and Joachim Wagner — Institut für Chemie, Universität Rostock, 18051 Rostock, Germany

We compare virial coefficients up to order eight for anisotropic, hard particles in two- to four-dimensional Euclidean spaces in dependence on their aspect ratio. The virial coefficients of both, convex shapes such as stadia, spherocylinders and hyperspherocylinders and concave shapes such as dumbbells in two to four dimensions are analyzed. Since the second virial coefficient of hard objects equals their mutual excluded D-dimensional volume per particle, analytically obtained expressions for the second virial coefficients serve as a test for orientation-dependent overlap algorithms. In first approximation, a nearly universal dependence of reduced virial coefficients on the excess part of the mutual excluded volume is observed for third and higher order virial coefficients.