# gst: emergence of chimeras states in one-dimensional Ising model with long-range diffusion.

<< ️In this work, (AA) examine the conditions for the emergence of chimera-like states in Ising systems. (They) 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, (They) 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. >>

<< ️(AA) explored the influence of such non-local dynamics on the emergence of complex spatiotemporal synchronization patterns of activity. Depending on system parameters (They) 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. (They) 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. >>

Alejandro de Haro García, Joaquín J. Torres. Emergence of Chimeras States in One-dimensional Ising model with Long-Range Diffusion. arXiv: 2510.24903v1 [cond-mat.dis-nn]. Oct 28, 2025. 

https://arxiv.org/abs/2510.24903

Also: chimera, network, brain, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, chimera, Ising systems, stochasticity, networks, brain.