Stochastic Relativistic Shock‐surfing Acceleration
Author(s) -
Benjamin D. G. Chandran,
Naoki Bessho
Publication year - 2004
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/422832
Subject(s) - physics , momentum (technical analysis) , shock (circulatory) , acceleration , diffusion , momentum diffusion , test particle , energy–momentum relation , quantum electrodynamics , monte carlo method , particle acceleration , plane (geometry) , perpendicular , computational physics , classical mechanics , mechanics , quantum mechanics , mathematics , geometry , medicine , statistics , finance , turbulence , economics
We study relativistic particles undergoing surfing acceleration atperpendicular shocks. We assume that particles undergo diffusion in thecomponent of momentum perpendicular to the shock plane due to moderatefluctuations in the shock electric and magnetic fields. We show that dN/dE, thenumber of surfing-accelerated particles per unit energy, attains a power-lawform, dN/dE \propto E^{-b}. We calculate b analytically in the limit of weakmomentum diffusion, and use Monte Carlo test-particle calculations to evaluateb in the weak, moderate, and strong momentum-diffusion limits.Comment: 20 pages, 6 figures, accepted by ApJ; this version corrects a few minor typographical error
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