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    <title>Development of optimised algorithms to calculate equation-of-state data in many-particle systems consisting of hard, anisotropic particles</title>
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    <namePart>Mathematisch-Naturwissenschaftliche Fakultät</namePart>
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  <abstract type="Summary">In this work, equations of state of hard, anisotropic particles are studied employing the complementary methods of virial theory and Monte Carlo simulations. To calculate higher-order virial coefficients, an algorithm is developed and optimised for hard particles. Using this algorithm, virial coefficients of hard lenses and hard, oblate ellipsoids of revolution are calculated. The method is extended to the 4D space. The development of a cluster Monte Carlo algorithm gives access to precise equation-of-state data, which is compared to the virial series.&lt;eng&gt;</abstract>
  <abstract type="Summary">In der vorliegenden Arbeit werden Zustandsgleichungen harter, anisotroper Partikel mit den komplementären Verfahren der Virialreihe und Monte Carlo Simulationen untersucht. Um Zugang zu Virialkoeffizienter höherer Ordnung zu erhalten, wird ein für harte Körper optimierter Algorithmus entwickelt. Hiermit werden Virialkoeffizienten von harten Linsen und harten, oblaten Rotationsellipsoiden berechnet. Die Methode wird auf den 4D Raum erweitert. Die Entwicklung eines Cluster Monte Carlo Algorithmus macht hochgenaue Zustandsdaten zugänglich, welche mit der Virialreihe verglichen werden.&lt;ger&gt;</abstract>
  <note type="statement of responsibility">vorgelegt von Philipp Marienhagen</note>
  <note>Enthält Zeitschriftenartikel</note>
  <note>GutachterInnen: Joachim Wagner (Institut für Chemie, Universität Rostock) ; Karsten Meier (Institut für Thermodynamik, Helmut-Schmidt-Universität) ; Ronald Redmer (Institut für Physik, Universität Rostock)</note>
  <note type="thesis">Dissertation Universität Rostock 2022 Kumulative Dissertation</note>
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      <title>Development of optimised algorithms to calculate equation-of-state data in many-particle systems consisting of hard, anisotropic particles</title>
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      <namePart>Marienhagen, Philipp, 1993 - </namePart>
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