Expansion-modification systems - A model for spatial 1/f spectra

Details Expansion-modification systems - A model for spatial 1/f spectra Expansion-modification systems - A model for spatial 1/f spectra

May 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrva..43.5240l&link_type=abstract

Physical Review A (ISSN 1050-2947), vol. 43, May 15, 1991, p. 5240-5260. MacArthur Foundation-supported research.

Mathematics

Dynamical Systems

44

Dynamical Systems, Scale Height, Automata Theory, Degrees Of Freedom, Expansion, Mass Distribution, Power Spectra, Spatial Distribution, Nonequilibrium And Irreversible Thermodynamics

Scientific paper

It is proposed in this paper that when two processes compete with each other, one tends to create long-range correlations, whereas the other tends to destroy it, the limiting object usually consists of many length scales. In particular, it might have power-law correlation functions and spatial 1/f spectra. The basic features of this competing dynamical process with spatial degrees of freedom are captured by the model expansion-modification system. Many detailed properties of the system, both numerical and analytical, are discussed here. The implications of the proposed mechanism for power-law correlation functions to the evolution of mass distribution in the universe and the evolution of prebiotic nucleotide sequences are also discussed.

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