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Physics 777 Plasma Physics and Magnetohydrodynamics (MHD). Instructor: Gregory Fleishman Lecture 13 . Astrophysical Plasmas. 02 December 200 8. Plan of the Lecture. Strong Energy Release in the Plasma Collimated Jets Bulk Relativistic Motion of the Plasma
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Physics 777Plasma Physics and Magnetohydrodynamics (MHD) Instructor: Gregory Fleishman Lecture 13.Astrophysical Plasmas 02 December 2008
Plan of the Lecture • Strong Energy Release in the Plasma • Collimated Jets • Bulk Relativistic Motion of the Plasma • More Examples of the Plasmas in Astrophysical Objects
Section 1.Strong Energy Release in the Plasma. Examples. • Release of the magnetic energy: flares in accretion disks, solar/stellar flares: ~1032 erg • Nuclear energy release: Nova (~1046 erg ) and Supernova Ia (~1051 erg ) explosions • Gravitation energy release: core-collapse Supernova explosions (~1051 - 1052 erg ) and accretion of the gas on the black hole.
Observations of M87 Shocks?
Schematic GRB from a massive stellar progenitor (Meszaros, Science 2001) Prompt emission Simulation box Accelerated particles emit waves at shocks
Temporal Variability • dT<1s, T~100 N=T/dT>100
COMPACTNESS PROBLEM g + g e+ + e- • dT ~ 1ms R < 3•107 cm • E ~ 1051ergs 1057 photonshigh photon density(many above 500 keV). • Optical depth T n R~1015>>1 • Inconsistent with the non thermal spectrum! Spectrum: Optically thin Size & Energy: Optically thick ? Paradox ?
C R A ~1/ D B R R Relativistic Time-Scales • tB-tA ~ R (1-) / c ~ R/22c • tC-tA ~ R(1-cos )/c ~ R/22c • tD-tA ~ /c
The Solution:Relativistic Motion • Due to Relativistic Motion • R = g2 c dT • Eph (emitted) = Eph (obs) / g • tgg = g-(4+2a) nsTR ~ 1015/g4+2a (Goodman; Paczynski; Krolik & Pier; Fenimore; Woods & Loeb;Baring &Harding; Piran & Shemi; Lithwick & RS) g > 100
1. Doppler frequency shift 2. Directivity and aberration
3. Superluminal motion Source Observer
Section 4. Other examples. Pulsar wind nebulae
Crab nebula Credit: Chandra/HST
Section 7. Homework • Oral presentation file, due 12/07/2008.