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This paper is a pedagogical introduction to avalanche models of solar flares, including a comprehensive review of recent modeling efforts and directions. This class of flare model is built on a recent paradigm in statistical physics, known as self-organized criticality. The basic idea is that flares are the result of an ‘avalanche’ of small-scale magnetic… (More)

- Mats Carlsson, Thomas J Bogdan
- Philosophical transactions. Series A…
- 2006

Acoustic waves are generated by the convective motions in the solar convection zone. When propagating upwards into the chromosphere they reach the height where the sound speed equals the Alfvén speed and they undergo mode conversion, refraction and reflection. We use numerical simulations to study these processes in realistic configurations where the… (More)

- Han-Li Liu, Paul Charbonneau, Annick Pouquet, Thomas J Bogdan, Scott W McIntosh
- Physical review. E, Statistical, nonlinear, and…
- 2002

We investigate the continuum limit of a class of self-organized critical lattice models for solar flares. Such models differ from the classical numerical sandpile model in their formulation of stability criteria in terms of the curvature of the nodal field, and are known to belong to a different universality class. A fourth-order nonlinear hyperdiffusion… (More)

- Scott W McIntosh, Paul Charbonneau, Thomas J Bogdan, Han-Li Liu, James P. Norman
- Physical review. E, Statistical, nonlinear, and…
- 2002

We investigate the geometrical properties of avalanches in self-organized critical models of solar flares. Traditionally, such models differ from the classical sandpile model in their formulation of stability criteria in terms of the curvature of the nodal field, and belong to a distinct universality class. With a view toward comparing these properties to… (More)

- Shravan M. Hanasoge, Aaron C. Birch, Thomas J Bogdan, Gizon
- 2008

We calculate the scattering effects associated with the interaction of a surface gravity or f mode with a thin magnetic flux tube embedded in a realistically stratified medium. We find that the dominant scattered wave is an f mode with amplitude and phase of 1.17% and around 49 relative to the incident wave, compared to the values of 0.13% and 40 estimated… (More)

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