SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 45: Poster: Nonlinear Dynamics, Pattern Formation and Networks

DY 45.15: Poster

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

Ising model with variable spin/agent strengths on graphsMariana Krasnytska1,2,3, Yurij Holovatch1,2,4, •Bertrand Berche2,3, and Ralph Kenna2,41ICMP, NAS of Ukraine, Lviv, Ukraine — 2L4 Collaboration Leipzig-Lorraine-Lviv-Coventry — 3Université de Lorraine, Nancy, France — 4Coventry University, UK

We consider a generalization of the Ising model in which individual spin strengths can vary [1]. The model describes the ordering in systems comprised of agents which, although matching in their binarity (i.e., maintaining the iconic Ising features of spin ’up’/’down’, ’yes’/’no’), differ in their strengths. With inhomogeneous physical systems in mind, but also anticipating interdisciplinary applications, we present the model on graph structures of varying degrees of complexity: complete graph, Erdös-Rényi graph, and on a scale-free network. This allows us to explore the interplay of two types of randomness: individual strengths of spins or agents and collective connectivity between them. We find the delicate interplay between variable properties of nodes and interactions between them leads to new universality classes.

[1] M. Krasnytska, B. Berche, Yu. Holovatch, R. Kenna, J. Phys. Complex., 1 (2020) 035008; Entropy, 23(9) (2021) 1175.

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