Dresden 2026 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 43: Poster: Statistical Physics

DY 43.23: Poster

Mittwoch, 11. März 2026, 15:00–18:00, P5

Analysis of phase transitions in the random-field Blume-Capel model via exact ground state calculations — •Tony Albers, David Müller-Bender, and Martin Weigel — Institute of Physics, Chemnitz University of Technology, Chemnitz, Germany

The random-field Blume-Capel model is a generalization of the well-known Ising model, where spin variables can take three values (-1,0,1) corresponding to three orientations of the spins with respect to an external field. We perform exact ground-state calculations of this 3-label problem using a suitable transformation to a 2-label problem [1] and an advanced graph-cut method called generic cuts [2]. The obtained ground states can be used to study phase transitions in dependence on the zero-field splitting parameter and the strength of the random field resulting in a phase diagram which is compared to the one obtained by a mean-field approximation [3]. Preliminary results suggest the presence of first- and second-order phase transitions. With the help of a finite-size scaling analysis, we obtain a set of critical exponents for the latter and compare them with the exponents of related universality classes.

[1] C. Arora and S. N. Maheshwari, 2014 IEEE Conf. Comput. Vis. Pattern Recognit., 1346 (2014)

[2] C. Arora, S. Banerjee, P. K. Kalra, and S. N. Maheshwari, IEEE Trans. Pattern Anal. Mach. Intell. 37, 1323 (2015)

[3] S. Mukherjee and Sumedha, J. Stat. Phys. 188, 22 (2022)

Keywords: Ising model; Blume-Capel model; phase transitions; critical exponents