TY - JOUR
T1 - Self-organized spiral patterns at the edge of an order-disorder nonequilibrium phase transition
AU - Lima Dias Pinto, Italo'Ivo
AU - Escaff, Daniel Elias
AU - Rosas, Alexandre
N1 - Funding Information:
The authors acknowledge Distinguished Professor Katja Lindenberg for valuable discussions and support throughout the development of this work. A.R. acknowledges Pronex/Fapesq-PB/CNPq Grant No. 151/2018 and CNPq Grant No. 308344/2018-9. D. E. acknowledges FONDECYT (Project No. 1211251). I.L.D.P. acknowledges the Army Research Laboratory. Research was sponsored by the Army Research Laboratory and was accomplished under Cooperative Agreement No. W911NFT20T2T0067. The views and conclusions contained in this document are those of the authors and should not be interpreted as representing the official policies, either expressed or implied, of the Army Research Laboratory or the U.S. Government. The U.S. Government is authorized to reproduce and distribute reprints for Government purposes notwithstanding any copyright notation herein.
Publisher Copyright:
© 2021 American Physical Society.
PY - 2021/5/1
Y1 - 2021/5/1
N2 - We present a spatially extended version of the Wood-Van den Broeck-Kawai-Lindenberg stochastic phase-coupled oscillator model. Our model is embedded in two-dimensional (2d) array with a range-dependent interaction. The Wood-Van den Broeck-Kawai-Lindenberg model is known to present a phase transition from a disordered state to a globally oscillatory phase in which the majority of the units are in the same discrete phase. Here we address a parameter combination in which such global oscillations are not present. We explore the role of the interaction range from a nearest neighbor coupling in which a disordered phase is observed and the global coupling in which the population concentrate in a single phase. We find that for intermediate interaction range the system presents spiral wave patterns that are strongly influenced by the initial conditions and can spontaneously emerge from the stochastic nature of the model. Our results present a spatial oscillatory pattern not observed previously in the Wood-Van den Broeck-Kawai-Lindenberg model and are corroborated by a spatially extended mean-field calculation.
AB - We present a spatially extended version of the Wood-Van den Broeck-Kawai-Lindenberg stochastic phase-coupled oscillator model. Our model is embedded in two-dimensional (2d) array with a range-dependent interaction. The Wood-Van den Broeck-Kawai-Lindenberg model is known to present a phase transition from a disordered state to a globally oscillatory phase in which the majority of the units are in the same discrete phase. Here we address a parameter combination in which such global oscillations are not present. We explore the role of the interaction range from a nearest neighbor coupling in which a disordered phase is observed and the global coupling in which the population concentrate in a single phase. We find that for intermediate interaction range the system presents spiral wave patterns that are strongly influenced by the initial conditions and can spontaneously emerge from the stochastic nature of the model. Our results present a spatial oscillatory pattern not observed previously in the Wood-Van den Broeck-Kawai-Lindenberg model and are corroborated by a spatially extended mean-field calculation.
KW - Initial conditions
KW - Mean-field calculations
KW - Nearest-neighbor coupling
KW - Nonequilibrium phase transitions
KW - Oscillatory patterns
KW - Parameter combination
KW - Phase-coupled oscillators
KW - Two dimensional (2D) arrays
UR - http://www.scopus.com/inward/record.url?scp=85106554078&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.103.052215
DO - 10.1103/PhysRevE.103.052215
M3 - Article
AN - SCOPUS:85106554078
SN - 2470-0045
VL - 103
JO - Physical Review E
JF - Physical Review E
IS - 5
M1 - 052215
ER -