CMT Group Seminar | April 30, 10:00

Two Monte Carlo Studies: Sublattice-Selective Percolation and The Critical Casimir Force

Jonas Wattendorff

Bachelors thesis: Percolation provides a remarkably simple route to non-trivial critical phenomena, which have a broad range of applications in many fields of science and engineering. In conventional site percolation, all lattice sites are occupied with the same probability. For a bipartite lattice, sublattice-selective percolation instead involves two independent occupation probabilities, depending on the sublattice to which a given site belongs. [1]

Master thesis: The Critical Casimir Force arises when a physical system near a continuous phase transition is confined by boundaries, because the long-range thermal fluctuations are cut off. By tuning the universality class of the boundaries, a diverse range of behaviors of the Critical Casimir Force can be observed. Monte Carlo simulations of spin models enable quantitative predictions of these effects.

[1] Phys. Rev. E 109, 044108


RWTH Aachen
0.03
Contact: Fabian Kugler, Simon Trebst