Fluktuationsinduzierte Wechselwirkungen in kolloidalen Suspensionen
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)
- Direct simulation of critical Casimir forces. EPL, 106(5):56005, Jun 2014
Hendrik Hobrecht and Alfred Hucht
(Siehe online unter https://doi.org/10.1209/0295-5075/106/56005) - Many-body critical Casimir interactions in colloidal suspensions. Phys. Rev. E, 92:042315, Oct 2015
Hendrik Hobrecht and Alfred Hucht
(Siehe online unter https://doi.org/10.1103/PhysRevE.92.042315) - Critical Casimir force scaling functions of the two-dimensional Ising model at finite aspect ratios. J. Stat. Mech.: Theory Exp., 2017:024002, Feb 2017
Hendrik Hobrecht and Alfred Hucht
(Siehe online unter https://doi.org/10.1088/1742-5468/aa5280) - The square lattice Ising model on the rectangle I: finite systems. J. Phys. A: Math. Theor., 50(6):065201 [Erratum: J. Phys. A: Math. Theor., 51(31):319601, Jun 2018]
Alfred Hucht
(Siehe online unter https://doi.org/10.1088/1751-8121/aa5535) - The square lattice Ising model on the rectangle II: finite-size scaling limit. J. Phys. A: Math. Theor., 50(26):265205
Alfred Hucht
(Siehe online unter https://doi.org/10.1088/1751-8121/aa6b7a) - Anisotropic scaling of the two-dimensional Ising model I: the torus. 2018
Hendrik Hobrecht and Alfred Hucht
(Siehe online unter https://doi.org/10.21468/SciPostPhys.7.3.026) - Anisotropic scaling of the two-dimensional Ising model II: surfaces and boundary fields. 2018
Hendrik Hobrecht and Alfred Hucht
(Siehe online unter https://doi.org/10.21468/SciPostPhys.8.3.032)
