The Bak–Chen–Tang forest fire model (Phys. Lett. A 147 (1999) 297) was proposed as a toy model of turbulent systems, where energy (in the form of trees) is injected uniformly and globally, but is dissipated (burns) locally. We review the existing results on the spatial and temporal...

The forest fire model (Phys. Lett. A 147 (1990) 297) was proposed as a toy model of turbulent systems, where energy (in the form of trees) is injected uniformly and globally, but is dissipated (burns) locally. We found a novel scaling form for the spatial distribution of dissipation (fires) in...

We model the self-organizing dynamics of two-dimensional magnetic domain patterns with magnetic bubble traps. Avalanches of topological rearrangements and domain destruction are simulated numerically. Asymptotic forms for distributions of avalanche sizes and lifetimes are found analytically....

Some recent results on non-conservative models of self-organized criticality are reviewed and discussed. A class of deterministic models introduced by Olami, Feder and Christensen exhibits 1f noise with an exponent which depends on the degree of conservation. The “Game of Life”, a cellular...

We look at price formation in a retail setting, that is, companies set prices, and consumers either accept prices or go someplace else. In contrast to most other models in this context, we use a two-dimensional spatial structure for information transmission, that is, consumers can only learn...

The almost perfect uniformity of the cosmic microwave background (CMB) radiation, discovered by Penzias and Wilson in 1965 (Astrophys. J. 142 (1965) 419), appears to present clearcut evidence that the universe was uniform and in equilibrium at the decoupling transition when a plasma of protons...

In this paper we present an empirical study of a few practical systems described by cooperation networks, and propose a model to understand the results obtained. We study four non-social systems, which are the Bus Route Networks of Beijing and Yangzhou, the Travel Route Network of China,...

The Bak–Chen–Tang forest fire model [Phys. Lett. A 147 (1990) 297] was proposed as a toy model of turbulent systems, where energy (in the form of trees) is injected uniformly and globally, but is dissipated (burns) locally. We review our previous results on the model [Phys. Rev. E 62 (2000)...

We analyze the daily closing prices of the Strait Time Index (STI) as well as the individual stocks traded in Singapore's stock market from 1988 to 2001. We find that the Hurst exponent is approximately 0.6 for both the STI and individual stocks, while the normal correlation functions show the...