Stochastic Fluctuations in a Babcock-Leighton Model of the Solar Cycle

By Paul Charbonneau, M. Dikpati. 2000

163 citations recorded by the source corpus.

Subfields: Astronomy and Astrophysics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/65dc12ac96e90dad668d3fd31fd60af01af1d05f

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In Astronomy and Astrophysics

1. Paul Charbonneau
2. D. Hathaway
3. I. Usoskin
4. Mark S. Miesch
5. Dibyendu Nandy
6. S. Solanki
7. J. Toomre
8. A. Brun

In Molecular Biology

1. Paul Charbonneau
2. Mark S. Miesch
3. I. Usoskin
4. J. Toomre
5. A. Brun
6. D. Hathaway
7. S. Solanki
8. Dibyendu Nandy

Citations in the corpus

• Solar activity forecast with a dynamo model (2007, methodology): “It may be noted that Charbonneau & Dikpati (2000) had to introduce fluctuations as large as 200% in their poloidal field source term in order to get any noticeable effect.”
• Long-Term Solar Cycle Evolution: Review of Recent Developments (2003, background): “Charbonneau and Dikpati (2000) studied stochastic fluctuations in a Leighton–Babcock dynamo model and succeeded to qualitatively reproduce the Waldmeier anti-correlation between cycle amplitude and length.”
• Dynamo Models of the Solar Cycle (2005, methodology): “In the context of Babcock–Leighton models, Charbonneau and Dikpati (2000) have presented a series of dynamo simulations including fluctuations in the dynamo number (statistical noise) as well as fluctuations in the meridional circulation (a form of noise both physical and statistical).”
• Sunspot Group Tilt Angles and the Strength of the Solar Cycle (2010, background): “…is poor with the strength of the next cycle is consistent with the finding that the length and strength of a cycle are poorly correlated (rc = −0.37, Charbonneau & Dikpati 2000 andrc = −0.35, Solanki et al. 2002) Now, tilt angles influence the amount of magnetic flux reaching the poles (Baumann et…”
• The solar magnetic field (2006, background): “The finite time required for meridional circulation to advect the magnetic field from D to A introduces a time lag in the dynamo process (from [187]).”
• Solar Differential Rotation Influenced by Latitudinal Entropy Variations in the Tachocline (2006, background): “Charbonneau & Dikpati (2000) introduced random stochastic fluctuations, while Dikpati et al. (2004) and Bonnanno et al. (2005) considered multiple cells in latitude.”
• Exploring the Physical Basis of Solar Cycle Predictions: Flux Transport Dynamics and Persistence of Memory in Advection- versus Diffusion-dominated Solar Convection Zones (2007, methodology): “Furthermore, observations show a statistically-significant negative correlation between peak sunspot number and the duration of cycles 1 to 22 (Figure 1c of Charbonneau & Dikpati 2000; see also Solanki et al. 2002).”
• Flux-Transport Dynamos with α-Effect from Global Instability of Tachocline Differential Rotation: A Solution for Magnetic Parity Selection in the Sun (2001, methodology): “…dynamo mechanism involves not only the above two processes but also an important third process, the advective transport of the magnetic Ñux by meridional circulation as in a conveyor belt (Choudhuri, & Dikpati 1995 ; Durney 1995 ;Schu ssler, Dikpati & Charbonneau 1999 ; Charbonneau & Dikpati 2000).”
• Evidence That a Deep Meridional Flow Sets the Sunspot Cycle Period (2003, background): “…fluctuations in the parameters determining the solar magnetic cycle (due to the inherent turbulent nature of the dynamo mechanism and the large-scale flows) can lead to cycle amplitude and period modulation (Choudhuri 1992; Ossendrijver & Hoyng 1996; Charbonneau & Dikpati 2000; Wang et al. 2002).”
• A History of Solar Activity over Millennia (2008, unknown): “…developed (see reviews by Ossendrijver, 2003; Charbonneau, 2005), which include stochastic processes (Weiss et al., 1984; Feynman and Gabriel, 1990; Schmalz and Stix, 1991; Moss et al., 1992; Brooke and Moss, 1994; Lawrence et al., 1995; Schmitt et al., 1996; Charbonneau and Dikpati, 2000, e.g.,).”
• Diagnostics of Polar Field Reversal in Solar Cycle 23 Using a Flux Transport Dynamo Model (2004, methodology): “In fact, the analysis of the model output from the simulation of a flux transport dynamo (Charbonneau & Dikpati 2000) has indicated that an nth cycle’s polar fields have the strongest correlation with the subsurface toroidal field (proxy for sunspots) of cycle nþ 2.”