Titlebook: Spontaneous Formation of Space-Time Structures and Criticality; T. Riste,D. Sherrington Book 1991 Springer Science+Business Media Dordrech

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Localized Structures and Solitary Waves Excited by Interfacial Stresses,Arguments and numerical evidence are provided for the appearance of solitary waves driven by surface tension tractions (Marangoni effect)

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Pathogen

Spontaneous Formation of Space-Time Structures and Criticality978-94-011-3508-5Series ISSN 1389-2185

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Preserve

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Dynamical Aspects of Sandpile Cellular Automata,rom the assumption that the instantaneous dissipation rate of the individual avalanches obeys a simple scaling relation. Primarily, the results of our work show that the flow of sand down the slope does not have a 1/. power spectrum in any dimension. The power spectrum behaves as 1/.. in all the dimensions considered.

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Experiments and Simulations Modeling Earthquakes,the Gutenberg-Richter law and the force time-series exhibits 1/.. noise. Our system reaches a self-organized critical state with power-law scaling both in the spatial and the time domain. We introduce a new . cellular-automaton that describes these observations.

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1/f Noise, Lattice Gases, and Diffusion,e of . depends on the definition of the dynamics of the models. Models with deterministic dynamics have . = 1, whereas for stochastic dynamics . = 1.5. The scaling relation α + . = 3 where α is the lifetime exponent is found to be fulfilled approximately. A discussion of the numerical observations in terms of driven diffusion equations is given.

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