SelfOrganization in a Plasma

1
Self-Organization in a Plasma Transport model
in the Magnetotail
J. A. Valdivia
Colaboradores A. J. Klimas D. Vassiliadis A. S.
Sharma A. Chian J. Takalo J. Rogan L.
Gomberoff M. Hesse K. Papadopoulos D. Baker etc.
2
0th Order Magnetosphere
The Magnetosphere, Model 0 The Magnetosphere,
Model 1 Globally coherent Repetitive The
Magnetosphere, Model 2 Problems in the
magnetotail Turbulence in the Plasma
Sheet Self-similarity of events Self-organization
Mode of attack
3
1st Order Magnetosphere
The Magnetosphere, Model 0 The Magnetosphere,
Model 1 Globally coherent Repetitive The
Magnetosphere, Model 2 Problems in the
magnetotail Turbulence in the Plasma
Sheet Self-similarity of events Self-organization
Mode of attack
4
Low Dimensional (Caos?)
Useful for prediction Low dimensional
Models Space weather
5
2nd Order Magnetosphere
The Magnetosphere, Model 0 The Magnetosphere,
Model 1 Globally coherent Repetitive The
Magnetosphere, Model 2 Problems in the
magnetotail Turbulence in the Plasma
Sheet Self-similarity of events Self-organization
Mode of attack
6
PROBLEMS -gt SO? I

• (1) Turbulence - Near Earth Plasma Sheet (20RE)
• All phases
• elementary transport eevents
• Ohtani et la., 1998 fractal D?
• (2) Busty Bulk Flows (BBF)
• restricted size ( 1RE)
• Sporadic (intermittent)
• Consistent with localized reconnection

Borovsky et al., 1997
Baumjohann et al. 1990 Angepoulos et
al.1992,1996, Fairfield et al. 1998 Nagai et
al., 1998
How can we connect this observations with the
Coherence and repeatability of the Magnetosphere?
7
PROBLEMS -gt SO? II

• (3) Power law distribution of events
• Auroral geomagnetic disturbances
• Distribution of auroral dissipation fs(s)
• Distribution de duration ft(T)
• Power spectrum S(w)
• (4) Pi2 Pulsations
• Contains signature of turbulence
• in the plasma sheet and possibly SOC?

(Consolini et al)
8
PROBLEMS -gt SO? III
(5) Low dimensional Magnetospheric Dynamics (6)
Energy output from Polar UVI images
(Uritsky et al)
(Liu et al, GRL 2000)
(Liu et al, GRL 2000)
9
PROBLEMS -gt SO? IV
Energy release in the form of plasmoid is similar
to a crisis in stock prices

The definition of SOCs almost describes the
phenomena of substorms it is the natural
state to which driven dissipative systems evolve
(Lu 1995) A variable is conserved Dissipation
through a localized instability
Theoretical guideline (1) Sand pile (or type)
models (2) Milovanov et al. 1996 Self Similar
percolation of flux tube (3) SOC a la Tom
Chang (4) SOC from generalized MHD Klimas,
Valdivia, et al., 2000 (5) Antonnova
10
nth Order Magnetosphere
The Magnetosphere, Model 0 The Magnetosphere,
Model 1 Globally coherent Repetitive The
Magnetosphere, Model 2 Problems in the
magnetotail Turbulence in the Plasma
Sheet Self-similarity of events Self-organization
Mode of attack
11
Self-organized criticality
Discrete intuition -gt J. Takalo et al (1998,
1999,etc)
But plasma models are continuous
12
Continuous Models?
Intermittent turbulence
Localized reconnection?
Self-similarity?
Self-organization?
13
Continuous models?
TO START FROZEN IN and Beyond MHD
B field is frozen with the plasma when
Reconnection -gt how the Frozen in condition is
broken
14
Approximation I
Z
15
Approximation I
Reconnection (BBF)
Chaos -gt driver is constant in t Renormaliztion
group spatio-temporal chaos
16
Approximation I
MOVIE I
17
More Plasma Physics
Learning Experience
1D Magnetic annihilation
2D Magnetic field model
Bx(z)
Turbulence?
z
More D
0
1D Plasma model (Reconnection?)
2D resistive MHD model (Reconnection?)

• 2D Plasma
• model
• Reconnection?
• Turbulence?
• Self-similarity?

18
Aproximacion II
Magnetic flux
Y
Turbulent vs. self-organization?
X
19
Aproximacion II
Turbulence V 0.1 k 4
20
More Plasma Physics
It is a learning experience and fun!
1D Magnetic annihilation
2D Magnetic field model
Bx(z)
Turbulence?
z
More D
0
1D Plasma model (Reconnection?)
2D resistive MHD model (Reconnection?)

• 2D Plasma
• model
• Reconnection?
• Turbulence?
• Self-similarity?

21
Aproximacion III
Z
X
22
Approximation III
EVzBx
Z
MOVIE III
outgoing
X
Symmetric Petscheck type of Picture
WORK IN PROGRESS ...
23
(No Transcript)
24
(No Transcript)
25
Model of the Dynamics
The Magnetosphere, Model 0 The Magnetosphere,
Model 1 Globally coherent Repetitive The
Magnetosphere, Model 2 Problems in the
magnetotail Turbulence in the Plasma
Sheet Self-similarity of events Self-organization
Mode of attack