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Markus Kulossa

Virial coefficients of hard, anisotropic particles in Euclidean spaces of various dimensionality

Universität Rostock, March 2025

https://doi.org/10.18453/rosdok_id00004914

Abstract: In this work, virial coefficients of hard, anisotropic particles in various-dimensional Euclidean spaces are calculated. Using the Brunn-Minkowski theorem, exact values for the second virial coefficients of convex solids can be obtained in arbitrary dimensions of space. Therefore, these are exemplarily calculated for solids of revolution and polytopes. For the calculation of higher-order virial coefficients, optimized Monte Carlo simulations are used. The obtained results provide access to equation-of-state data via the virial series.

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