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Projekt Druckansicht

Fluktuationsinduzierte Wechselwirkungen in kolloidalen Suspensionen

Fachliche Zuordnung Statistische Physik, Nichtlineare Dynamik, Komplexe Systeme, Weiche und fluide Materie, Biologische Physik
Förderung Förderung von 2015 bis 2019
Projektkennung Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 269422592
 
Erstellungsjahr 2019

Zusammenfassung der Projektergebnisse

In this research, we could successfully implement an efficient cluster Monte-Carlo algorithm, that enabled us to calculate three-body Casimir interactions between particles immersed in a critical binary liquid mixture. These three-body interactions turned out to be much stronger than expected. An analytical treatment at criticality using conformal field theory verified the obtained results. In the second half of the project, the universal finite-size scaling functions required for the description of off-critical temperatures were calculated analytically for a large number of boundary conditions within the framework of the two-dimensional Ising model. While the final goal of this task was an extension of the CFT results to near-critical temperatures, we were not able to deform the conformal symmetry at Tc to off-critical temperatures. However, the obtained exact results are important on their own, as they show an unexpected modularity of the Casimir contributions. Furthermore, they can serve as a benchmark for numerical calculations and approximations.

Projektbezogene Publikationen (Auswahl)

 
 

Zusatzinformationen

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