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Institut für Theoretische Physik I
Universität Erlangen-Nürnberg
Staudtstraße 7
91058 Erlangen
Germany

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Department Physik
QuCoLiMa

Teilbibliothek Physik Web-Opac
UnivIS FAU Erlangen-Nürnberg

Physikalisches Kolloquium
QuCoLiMa Talks
Kolloquium der Theor. Physik
Gruppenseminar der Theorie 1


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Bachelorarbeit

  • Markus Hoffmann
  • Classical Density Functional Theory for Particles with Hard Cores and Soft Square Shoulders
Abstract

Classical density functional theory is an excellent tool to investigate classical many-body systems from fundamental principles, in particular soft matter systems. Here we consider hard particles with soft square shoulders in two dimensions. Since two mesoscopic particles cannot be at the same position at the same time, hard particles are a suitable model system. We model the interaction of impenetrable particles via infinite potentials. By adding soft shoulders, which are modelled by finite step potentials, we obtain a second length scale in our system. Two different length scales often lead to interesting pattern formations such as simple quadratic phases and quasiperiodic crystals. In this bachelor’s thesis we recover the liquid-solid phase transition for hard particles and for soft particles.