Scale-free dynamics emerging from information transferM. Y. Choi1, 2, Beom Jun Kim3, B.-G. Yoon4 and Hyunggyu Park2
1 Department of Physics, Seoul National University - Seoul 151-747, Korea
2 Korea Institute for Advanced Study - Seoul 130-722, Korea
3 Department of Molecular Science and Technology, Ajou University Suwon 442-749, Korea
4 Department of Physics, University of Ulsan - Ulsan 680-749, Korea
received 20 August 2004; accepted in final form 3 December 2004
published online 14 January 2005
The dynamics based on information transfer is proposed as an underlying mechanism for the scale-invariant dynamic critical behavior observed in a variety of systems. We apply the dynamics to the globally coupled Ising model, which is analytically tractable, and show that dynamic criticality is indeed attained. Such emergence of criticality is confirmed numerically in the two-dimensional Ising model as well as the globally coupled one and in a biological evolution model. Although criticality is precise only when information transfer is reversible, it may also be observed even in the irreversible case, during the practical time scale shorter than the relaxation time.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
05.65.+b - Self-organized systems.
89.75.Fb - Structures and organization in complex systems.
© EDP Sciences 2005