Avalanches and self-organization in cellular magnetic-domain patterns

Babcock, K. L.; Westervelt, R. M.

doi:10.1103/physrevlett.64.2168

Cited by 106 publications

(45 citation statements)

References 12 publications

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“…Their models suggest that extended systems with many metastable states can naturally evolve into a critical state with no intrinsic length. Experiments (Babcock & Westervelt 1990), as well as numerical simulations (Carlson & Langer 1989;Kadanoff et al 1989), demonstrate the existence of such critical states. In the avalanche model, sand settles on a sand pile or snowflakes fall on a mountainside.…”

Section: Introductionmentioning

confidence: 99%

Self-Organized Braiding and the Structure of Coronal Loops

Berger

Asgari-Targhi

2009

ApJ

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The Parker model for heating of the solar corona involves reconnection of braided magnetic flux elements. Much of this braiding is thought to occur at as yet unresolved scales, for example, braiding of threads within an extremeultraviolet or X-ray loop. However, some braiding may be still visible at scales accessible to TRACE or Hinode. We suggest that attempts to estimate the amount of braiding at these scales must take into account the degree of coherence of the braid structure. In this paper, we examine the effect of reconnection on the structure of a braided magnetic field. We demonstrate that simple models of braided magnetic fields which balance the input of topological structure with reconnection evolve to a self-organized critical state. An initially random braid can become highly ordered, with coherence lengths obeying power-law distributions. The energy released during reconnection also obeys a power law. Our model gives more frequent (but smaller) energy releases nearer to the ends of a coronal loop.

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Section: Introductionmentioning

confidence: 99%

Self-Organized Braiding and the Structure of Coronal Loops

Berger

Asgari-Targhi

2009

ApJ

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“…Metglas 2605S (Fe~gBt 3 Si, 9 ). The nominally 2-mil thick Metglas ribbon, supplied by Allied Signal.…”

Section: Sample Description and Preparationmentioning

confidence: 99%

Power laws, flicker noise, and the Barkhausen effect

Meisel

Côté

1992

Phys. Rev. B

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“…From then on, several models exhibiting self-organized criticality (SOC) have been formulated and analyzed both numerically and analytically, and alternative mechanisms leading to power-laws have been proposed [2]. At the same time, many real extended dissipative systems (including sandpiles, earthquakes, volcanic rocks, fractured systems, and ferromagnets and other hysteretic systems) have been interrogated experimentally searching for power-laws and SOC behaviour [3].…”

Section: Introductionmentioning

confidence: 99%

Experiments and Models of Avalanches in Martensites

et al. 1995

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We have studied the kinetics of thermoelastic martensitic transformations (MT), both experimentally and using spin models. Measurements of acoustic emission and thermal pulses in Cu-Zn-A1 single crystals, during thermally and stress induced MT, show that the transformation takes place as a sequence of avalanches, whose sizes and durations distribute according to power laws in more than one decade. Most features observed are qualitatively reproduced by spin models that incorporate domain interactions and frozen disorder. A systematic simulation of these models at T = 0 (no fluctuations allowed) has shown that there is a critical concentration of disorder for which avalanche sizes and durations distribute following power-laws, which appear to be independent of details of the models other than their dimensionality. We discuss the connection between the experimental results and the simulations.

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Avalanches and self-organization in cellular magnetic-domain patterns

Cited by 106 publications

References 12 publications

Self-Organized Braiding and the Structure of Coronal Loops

Self-Organized Braiding and the Structure of Coronal Loops

Power laws, flicker noise, and the Barkhausen effect

Experiments and Models of Avalanches in Martensites

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