Emergence of chimeras states in one-dimensional Ising model with long-range diffusion Haro García, Alejandro de Torres Agudo, Joaquín Order-disorder chimera states Kawasaki dynamics one-dimensional Ising model In this work, we examine the conditions for the emergence of chimera-like states in Ising systems. We study an Ising chain with periodic boundaries in contact with a thermal bath at temperature T, that induces stochastic changes in spin variables. To capture the non-locality needed for chimera formation, we introduce a model setup with non-local diffusion of spin values through the whole system. More precisely, diffusion is modeled through spin-exchange interactions between units up to a distance R, using Kawasaki dynamics. This setup mimics, e.g., neural media, as the brain, in the presence of electrical (diffusive) interactions. We explored the influence of such non-local dynamics on the emergence of complex spatiotemporal synchronization patterns of activity. Depending on system parameters we report here for the first time chimera-like states in the Ising model, characterized by relatively stable moving domains of spins with different local magnetization. We analyzed the system at T = 0, both analytically and via simulations and computed the system’s phase diagram, revealing rich behavior: regions with only chimeras, coexistence of chimeras and stable domains, and metastable chimeras that decay into uniform stable domains. This study offers fundamental insights into how coherent and incoherent synchronization patterns can arise in complex networked systems as it is, e.g., the brain. 2026-02-26T12:28:48Z 2026-02-26T12:28:48Z 2026-06 journal article de Haro García, A., & Torres, J. J. (2026). Emergence of chimeras states in one-dimensional Ising model with long-range diffusion. Chaos, Solitons, and Fractals, 207(118068), 118068. https://doi.org/10.1016/j.chaos.2026.118068 https://hdl.handle.net/10481/111593 10.1016/j.chaos.2026.118068 eng http://creativecommons.org/licenses/by-nc/4.0/ open access Atribución-NoComercial 4.0 Internacional Elsevier