Astrophysical Jets from accreting Black Holes

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II.2 Diffusive shock acceleration ● What is the average momentum gain when crossing the shock front? p shockfront=p1 U1 v pdownstream=p1 U 1−U 2 v 1 〈 p〉=p∫ 0 [ U 1−U 2 v ]2d = 2 3 p U 1−U 2 v
II.2 Diffusive shock acceleration ● In reality p is a random variable, but for v >> U and initial momentum identically n pn~ i=1 p0[1 4 3 p 0 U 1−U 2 v i ]⇒ ln pn ~ p0 4 3 U n 1−U 2 i=1 ● The probability of crossing the shock front n times is n Pn~ i=11− 4U 2 n ⇒ ln P v n~−4U 2 i=1 i ⇒ P n= p −3U 2 /U 1−U 2 n = p0 p −3/r −1 n p0 1 v i 1 =−3 vi U 2 ln U1−U 2 pn p0
Page 1 and 2: Astrophysical Jets from accreting B
Page 3 and 4: I.Description of astrophysical jets
Page 5 and 6: I.1 Sources of Jets Active Galaxy N
Page 7 and 8: I.1 Sources of Jets Gamma Ray Burst
Page 9 and 10: I.3 Formation Mechanism ● not kno
Page 11 and 12: II. Acceleration in Jets
Page 13 and 14: II.2 Diffusive shock acceleration
Page 27: II.2 Diffusive shock acceleration
Page 35 and 36: III.1 Synchrotron Emission ● part
Page 37 and 38: III.2 Inverse Compton Scattering
Page 39 and 40: III.3 Other Processes ● 1. proton
Page 41: II.2 Diffusive shock acceleration

Astrophysical Jets from accreting Black Holes

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