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Multiple Sheet Beam Instability of Current Sheets in Striped Relativistic Winds Inertial Parallel E in Neutron Star Magnetospheres: Return Cuurent Sheets and Pulsed Gammas Jonathan Arons University of California, Berkeley. 1. latitude sector. As if energy flux. in a narrow. - PowerPoint PPT Presentation
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Multiple Sheet Beam Instability ofCurrent Sheets in Striped Relativistic Winds
Inertial Parallel E in Neutron Star Magnetospheres:Return Cuurent Sheets and Pulsed Gammas
Jonathan AronsUniversity of California, Berkeley
1
Crab Vela
G54.1 J2229
B1706 J0538
Ng & Romani
Torii in rotational equator - small aspect ratio - /r ~ 0.1(Crab), smaller
in others
Rings and Torii
As if energy flux in a narrow latitude sector
2
Poynting Flux dominated wind strongest toward equator
Magic: If , nebular response ~ images
(Komisssarov & Lyubarsky 2003; del Zanna et al 2004; Bogovalov et al 2005)
“Unmagnetized” equatorial channel
Outer Wind Properties,
:
Current Sheet, carries return current
Sheet Opening Angle:
Like Split Monopole of Aligned Rotator Without Dissipation:
Relativistic Beam: “protons” (i=0), e- (i=p)
4
PSR i
Crab 80o
Vela 65o
1509-58 60o
1706-44 40o
0630+17 25o
1055+08 70o
Observed PSR = oblique rotators
Gamma Ray PSR, i from Romani and Yadigarglou outer gap model
Equatorial Current Sheet Frozen-in wave,Striped wind
5
Striped Jets: Spruit, Konigl
QuickTime™ and aPNG decompressor
are needed to see this picture.
Force Free Simulation of i=60o Rotator (Spitkovsky)
Current Sheet Separating Stripes (Bogovalov)
i=60o i=9o
Inner Wind: Magnetically Striped
6
Stripe Dissipation If wrinkled current dissipates, striped field dissipates, magnetic energy coverts to flow kinetic energy, “heat” & high frequency radiation, strong waves - partition?
Sheet Dissipation: Tearing of one locally ~ plane sheet? (Coroniti; too slow? - Kirk & co.)Cause: Current starvation? (everybody)sheet strong waves? - Melatos-vacuum)
7
Stream Instability of Multiple Sheets
Current sheets = transmission linesCurrent = charged particle beam
injected by source - Y or X line at LC
| | =IGJ=Goldreich-Julian Current
In absence of dissipation, beams flow adiabatically in narrow channel8
2H
(adiabatic EOS)
Sheets swallow stripes (H > RL):
Simplified Sheet Structure
(Crab) only if- sheets survive? 9
(protons)
Sheets Interact - Two Stream (Weibel-like) instability
Thin Sheet (krL<<1) dynamics as if each sheet is unmagnetizedalthough intersheet medium MHD
x0 =RL<< r
x0
10
Two Symmetric Sheet Instability
Imagine Magnetic
disturbance at each sheet - Alfven pol
j0 x force compresseseach sheet’s surface density into filamentsparallel to j0
Surface current filamentsreinforce -Weibel instability in flatland
RL
Growth Rate 2 symmetric sheets = purely growing in proper frame
11
Proper Growth Rate (vA=c, vbeam=c, sheet thickness = )
Growth rate > expansion rate for
12
Saturation - Magnetic Trappingbeam particles scattered by
self fields
13
Growth & Trapping Saturation of Spatially Distributed Weibel (Spitkovsky & JA)
shock - transient growth and decay; current sheet is driven but end result will “always” be magnetic turbulence that scatters particles
Anomalous Resistivity in Sheets - rapid expansion
of sheets, destruction of intersheet field? (Coroniti’s model)
Resistive electric field in sheet - equilibrium beam energy (?)
Many sheets, sheet strength j0 declines with r: radiation oflong wavelength EM waves (fast modes shocks) ofrelativistic amplitude?
Anomalous resistance, scattering: radiation (synchroton), sheets radiate - pulsed emission? (Kirk et al; historically, JA)
15
Experiments
Computational: 3D PIC, must be MHD between sheets (frozen-in pairs) resolve current layer: Larmor and c/p scales of beam particles
could use rectangular geometry
Lab Experiment?Use laser on dense slab to launch relativistic electron-positron plasma
onto field lines of reversed B (RFP?)Launch beams into field reversal region?
Laser generated MHD electron-positron plasmaX XCharged
particle beam
currents
Strong Background B
Perp E to give cross field plasma flow?
Expt improves on simulation?
Parallel E in Pulsar return currents
Pulsed Gamma Rays: Acceleration in Boundary layer along open field lines
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
Return Current Sheet
Gamma rays radiated by some sort of sheet at or near the boundary layer
Romani’s “outer gap” surface: quasi-vacuum E accelerator
: thickness ~ rl(RL)(r/RL)3/2
Return current, precipitating plasma formed by reconnection at RY
Return current density huge: Jret ~ J[RL/rl(RL)] ~ J (e/mc2) >>>1magnetospheric potential = B*R*(R*/RL)2: 1012-1017 V
EP ~
3vP
r p2 J P
(ret) ~ 2
8πκ ret
rParticle inertia in the current channel:
κret = pair multiplicity, precipitating from Y-line, < 104
Y-line at r = RY
~ RL
Simulations? Experiments (Earth’s auroral currents, magnetotail reconnection informative)