Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

DY: Fachverband Dynamik und Statistische Physik

DY 6: Critical Phenomena and Phase Transitions

DY 6.3: Vortrag

Montag, 17. März 2025, 12:00–12:15, H47

Cluster percolation in the three-dimensional ± J random-bond Ising model — •Lambert Muenster and Martin Weigel — Institut für Physik, TU Chemnitz, 09107 Chemnitz, Germany

We study the relation between cluster percolation and ordering phenomena in the three-dimensional ± J random-bond Ising model with different fraction of ferromagnetic bonds by performing Monte Carlos simulations. In particular a certain type of two-replica clusters is studied [1,2]. The density of these clusters can be linked to the overlap. We start the analysis with the pure ferromagnet and demonstrate that the percolation transition maps onto the ferromagnetic phase transition. Then, we continue our analysis with the frustrated disordered ferromagnet and finally consider the spin-glass system where half of all bonds are anti-ferromagnetic and point out differences as well as similarities between the cases.
[1] J. Machta, C. M. Newman, and D. L. Stein, J. Stat. Phys. 130, 113 (2008).
[2] L. Münster and M. Weigel, Phys. Rev. E 107, 054103 (2023).

Keywords: spin glasses; percolation; Ising model; Monte Carlo simulations