Avalanche models for solar flares (Invited Review)

By Paul Charbonneau, S. McIntosh, Han-Li Liu, T. Bogdan. 2001

157 citations recorded by the source corpus.

Subfields: Astronomy and Astrophysics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/981794d839342352ebd73e3a127f68aacce18bf9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Statistical and Nonlinear Physics

Citations in the corpus

Driving major solar flares and eruptions: A review (2008, background): “…for all regions has led to the introduction of the concept of the ’avalanche model’ or ’self-organized criticality’ (SOC; see, e.g., the review by Charbonneau et al. 2001) in which the size of a flare is only statistically determined, and in which the flare’s energy is always much less than…”
25 Years of Self-Organized Criticality: Solar and Astrophysics (2014, methodology): “Liu et al. (2002) and Charbonneau et al. (2001) transform the cellular automaton rule into a finite difference equation, ∂B ∂t = − ∂ 2 ∂x2 κ(B2xx) ∂2B ∂x2 , (63) where κ(B2xx) is a diffusion coefficient that depends on the local curvature B 2 xx.”
Nanoflare Statistics from First Principles: Fractal Geometry and Temperature Synthesis (2002, background): “12 in Aschwanden et al. 2000b), by an exponential rollover (Kadanoff et al. 1989; Lu et al. 1993; Charbonneau et al. 2001), or by Pearson distributions (Podladchikova et al. 2002).”
Solar Flares: Magnetohydrodynamic Processes (2011, unknown): “…(1992), Hudson and Ryan (1995), Sakai and de Jager (1996), Low (1996), Low (2001), Shibata (1997), Shibata (1999), Miller (1997), Bastian et al. (1998), Hundhausen (1999), Forbes (2000), Charbonneau et al. (2001), Aschwanden (2002), Priest and Forbes (2002), Zhang and Low (2003), Lin et al. (2003).”
WHITE-LIGHT FLARES ON COOL STARS IN THE KEPLER QUARTER 1 DATA (2010, background): “In both the Sun and dMe stars, the probability distributions of flare energies are best described by a power law, indicating that small flares are more common than large (Charbonneau et al. 2001; Shakhovskaia 1989; Lu & Hamilton 1991).”
Magnetic Reconnection in Astrophysical and (2009, background): “Lu & Hamilton (1991) suggested that this could be the signature of an avalanche-like process, where individual reconnection events have some probability of triggering others (see also Charbonneau et al. 2001).”