Regensburg 2025 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 22: Poster: Statistical Physics

DY 22.26: Poster

Mittwoch, 19. März 2025, 10:00–12:00, P3

Cluster Formation and Phase Transitions Induced by Non-Reciprocal Interactions — •Thomas Richard Ullmann and Klaus Kroy — Institute for Theoretical Physics, Leipzig University, 04103 Leipzig, Germany

The emergence of cluster formation in a two-dimensional lattice spin system driven by non-reciprocal interactions (NRI) is investigated. The development of a novel phase, characterized by clusters distinct from the quasi-long-range order (QLRO) state of the conventional XY model, is unveiled through the use of a tunable non-reciprocal parameter. Cluster formation is shown to result from particular local spin alignment due to non-reciprocal coupling, which dynamically reshapes the stability landscape of defects and topological structures. The stability of the system is analyzed using nearest-neighbour interactions and stochastic dynamics, and critical points are identified indicating phase transitions associated with clustering. The stability and evolution of defects and structures within this regime are further examined, providing insights into the interplay between non-reciprocity and the dynamics of spin textures. Broader implications for understanding collective behaviour in non-equilibrium systems are suggested, offering a framework for exploring non-reciprocity-induced phases and their stability in both physical and biological contexts.

Keywords: non-reciprocal; spin; cluster; order; non-equilibrium