Showing 111 - 120 of 141
In a recent experiment with rice piles [V. Frette et al., Nature 379 (1996) 49] it was observed that the distribution of avalanches presents a power-law behavior for elongated rice, while avalanches for round rice present a characteristic length. These experiments showed that granular piles may...
Persistent link: https://www.econbiz.de/10010590129
Universality and scaling for systems driven to criticality by a tuning parameter has been well studied. However, there are very few corresponding studies for the models of self-organized criticality, e.g., the Bak, Tang, and Wiesenfeld (BTW) sandpile model. It is well known that every avalanche...
Persistent link: https://www.econbiz.de/10010590193
The sun provides an explosive, heavenly example of self-organized criticality. Sudden bursts of intense radiation emanate from rapid rearrangements of the magnetic field network in the corona. Avalanches are triggered by loops of flux that reconnect or snap into lower-energy configurations when...
Persistent link: https://www.econbiz.de/10010590315
The nature of self-organized criticality (SOC) is pin-pointed with a simple mechanical model: a pinball machine. Its phase space is fully parameterized by two integer variables, one describing the state of an on-going game, the other describing the state of the machine. This is the simplest...
Persistent link: https://www.econbiz.de/10010590501
We introduce a deterministic self-organized critical system that is one-dimensional and bulk driven. We find that there is no unique universality class associated with the system. That is, the critical exponents change as the parameters of the system are changed. This is in contrast with the...
Persistent link: https://www.econbiz.de/10010590517
In this paper strong evidence is provided for significant far from equilibrium phase transition processes in the Earth’s magnetosphere as revealed by the nonlinear analysis of in situ observations. These results constitute the solid base for the solution of the durable controversy about the...
Persistent link: https://www.econbiz.de/10010590624
We extend our studies of a quantum field model defined on a lattice having the dilation group as a local gauge symmetry. The model is relevant in the cross-disciplinary area of econophysics. A corresponding proposal by Ilinski aimed at gauge modeling in non-equilibrium pricing is realized as a...
Persistent link: https://www.econbiz.de/10010590672
We show that the one-dimensional Oslo rice-pile model is a special case of the abelian distributed processors model. The exact steady state of the model is determined. We show that the time evolution operator W for the system satisfies the equation Wn+1=Wn where n=L(L+1)/2 for a pile with L...
Persistent link: https://www.econbiz.de/10010590677
Per Bak conceived self-organized criticality as an explanation for the behavior of the sandpile model. Subsequently, many cellular automata models were found to exhibit similar behavior. Two examples are the forest-fire and slider-block models. Each of these models can be associated with a...
Persistent link: https://www.econbiz.de/10010590684
This paper analyzes the spatial evolution character of multi-objective evolutionary algorithms using self-organized criticality theory. The spatial evolution character is modeled by the statistical property of crowding distance, which displays a scale-free feature and a power-law distribution....
Persistent link: https://www.econbiz.de/10010590812