Wentian Li 1989 Europhys. Lett. 10 395 doi:10.1209/0295-5075/10/5/001
Wentian Li1
Show affiliationsA new mechanism for spatial 1/f power spectra is proposed for a type of open dynamical system. This mechanism has two competing ingredients. One tends to preserve the long-range correlations while the other tends to destroy it. A specific model with this mechanism based on a class of extremely simple context-free grammars is analyzed. In this model replication and transposition are repeated applied to a string of discrete elements. Computer experiments show that for a wide range of parameter values, the model yields spatial power spectra of the form 1/fα with α close to 1. The frequency range spanned by the 1/fα form as well as the exponent α depend on the probability with which replication and transposition operations are applied.
02.50.-r Probability theory, stochastic processes, and statistics
Issue 5 (1 November 1989)
Received 7 July 1989
Wentian Li 1989 Europhys. Lett. 10 395
L S García Colín and Alfredo Sandoval-Villalbazo 2002 Class. Quantum Grav. 19 2171
E Scavino et al 2004 Plasma Phys. Control. Fusion 46 857
Mark Ballico 1999 Meas. Sci. Technol. 10 L33
Jernej F. Kamenik and Miha Nemevšek JHEP11(2009)023
Jacek Dziarmaga et al 2003 J. Phys. B: At. Mol. Opt. Phys. 36 1217
R C King and A H A Al-Qubanchi 1981 J. Phys. A: Math. Gen. 14 51
Alexei Kharine et al 2003 Phys. Med. Biol. 48 357
Zhe Sun et al 2009 New J. Phys. 11 113005
Shaoze Yan et al 2006 Smart Mater. Struct. 15 N7