# SKM 2023 – wissenschaftliches Programm

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# DY: Fachverband Dynamik und Statistische Physik

## DY 44: Poster: Statistical Physics

### DY 44.3: Poster

### Donnerstag, 30. März 2023, 13:00–16:00, P1

**Potts model with invisible states on a scale-free network** — •Mariana Krasnytska^{1,2,3} and Petro Sarkanych^{1,2} — ^{1}ICMP, NAS of Ukraine, Lviv, Ukraine — ^{2}L4 Collaboration Leipzig-Lorraine-Lviv-Coventry — ^{3}Université de Lorraine, Nancy, France

Different models are proposed to understand magnetic phase transitions through the prism of competition between the energy and the entropy. One of such models is a (q+r)-state Potts model with invisible states. This model introduces r invisible states such that if spin lies in one of them, it does not interact with the rest. We consider such a model using the mean-field approximation on an annealed scale-free network where the probability of a randomly chosen vertex having a given degree is governed by the power law with decay exponent λ. Our results confirm that q, r and λ play a role of global parameters that influence the critical behaviour of the system. Depending on their values the phase diagram is divided into three regions with different critical behaviour. However, the topological influence, presented by the marginal value of λc(q), has proven to be dominant over the entropic one, governed by the number of invisible states r [arXiv:2211.14048].